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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO  The Chartered Institute of Management Accountants 2012    P    2      P   e   r    f   o   r   m   a   n   c   e    M   a   n   a   g   e   m   e   n    t Performance Pillar P2 – Performance Management Wednesday 29 February 2012 Instructions to candidates You are allowed three hours to answer this question paper. You are allowed 20 minutes reading time before the examination b egins  during which you should read the question paper and, if you wish, make annotations on the question paper. However, you will no t  be allowed, under any circumstances , to open the answer book and start writing or use your calculator during this reading time. You are strongly advised to carefully read ALL the question requirements before attempting the question concerned (that is all parts and/or sub- questions).  ALL answers must be written in the answer book. Answers written on the question paper will not  be submitted for marking. You should show all workings as marks are available for the method you use.  ALL QUESTIONS ARE COMPULSORY. Section A comprises 5 questions and is on pages 2 to 4. Section B comprises 2 questions and is on pages 6 to 9. Maths tables and formulae are provided on pages 11 to 14. The list of verbs as published in the syllabus is given for reference on page 15. Write your candidate number, the paper number and examination subject title in the spaces provided on the front of the answer book. Also write your contact ID and name in the space provided in the right hand margin and seal to close. Tick the appropriate boxes on the front of the answer book to indicate which questions you have answered. TURN OVER

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

 The Chartered Institute of Management Accountants 2012

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

Wednesday 29 February 2012 

Instructions to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins  during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 4.

Section B comprises 2 questions and is on pages 6 to 9.

Maths tables and formulae are provided on pages 11 to 14.

The list of verbs as published in the syllabus is given for reference on page

15.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 March 2012

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

 A company has developed a new product which it will launch next month. During the initialproduction phase the company expects to produce 6,400 units in batches of 100 units. Thefirst batch to be produced is expected to require 25 hours of direct labour. The followingdetails are expected to apply throughout the initial production phase:

•  Direct material cost per unit is expected to be $4

•  Direct labour is to be paid $10 per hour

•  A 90% learning curve is expected to apply

•  Other variable costs are expected to be $2 per unit

Note: The learning index for a 90% learning curve is -0.1520

Required:

(a) Calculate the total variable cost of the 6,400 units of the new product.

(4 marks) 

You have shown your calculation to the Finance Director who has now told youthat the company needs to achieve a total variable cost target of $45,000 for thefirst 6,400 units in order to achieve its initial production phase profit target.

(b) Calculate the rate of learning at which the initial production phase profittarget would be achieved, assuming no other cost savings can be made.

(6 marks) 

(Total fo r Question One = 10 marks)

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March 2012 3 Performance Management

Question Two

SD manufactures and sells a small range of timber products. The main differences betweenthe products are their size and the type of timber used. SD prepares annual budgets and setsa standard cost for each different product at the start of each year. Variance reports areproduced every month.

Recently, there have been significant differences between the actual costs and standardcosts of the products manufactured.

SD recently introduced a system of Kaizen Costing which has resulted in changes to themethods used to manufacture the timber products.

Some of the directors have suggested that the use of standard costs as a means ofmonitoring performance is no longer appropriate and that the monthly variance report ismeaningless.

Required:

(a) Explain the principles of Kaizen Costing.(4 marks) 

(b) Discuss how SD can use standard costing and variance analysis toprepare meaningful reports when using Kaizen Costing.

(6 marks) 

(Total fo r Question Two = 10 marks)

Question Three

MLC, which was established in 1998, manufactures a range of garden sheds andsummerhouses using timber purchased from a number of suppliers.

The recently appointed managing director has expressed increasing concern about the fallingsales volumes, rising costs and hence declining profits over the last two years.

Required:

Discuss how business process re-engineering could help to improve the profitsof MLC.

(Total fo r Question Three = 10 marks)

Section A continues on the next page

TURN OVER

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Performance Management 4 March 2012

Question Four

 A transport company is preparing its cost budgets for the coming year. It has been set bothsocial objectives and cost targets by the government which it must achieve in order to receivea subsidy. Part of the subsidy is paid when acceptable budgets have been submitted to thegovernment’s transport office and the balance is payable at the end of the year provided the

company has achieved its social objectives and cost targets.

The first draft of the cost budgets has been completed and submitted to the budgetcommittee.

Required:

Explain to the Board of Directors how (i) feedforward control and (ii) feedback controlshould be used in the transport company. (You should use examples from the company’sbudgeting system in your answer.) 

(Total fo r Question Four = 10 marks)

Question Five

 A college currently measures its performance by comparing its actual costs against itsbudgeted costs for the year. Now that the college is facing increased competition from othercolleges and private education providers, one of its professors has suggested that it needs toconsider additional performance measures such as those indicated by the Balanced

Scorecard.

Required:

(a) Explain the concepts of the Balanced Scorecard and how this approach toperformance measurement could be used by the college.

(6 marks)

(b) Explain TWO non-financial measures (chosen from different perspectivesof the balanced scorecard) that the college could use to measure itsperformance.

(4 marks)

(Total for Question Five = 10 marks)

(Total for Section A = 50 marks)

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Performance Management 6 March 2012

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

JRL manufactures two products from different combinations of the same resources. Unitselling prices and unit cost details for each product are as follows:

Product J$/unit

L$/unit

Selling price 115 120

Direct material A ($10 per kg) 20 10Direct material B ($6 per kg) 12 24Skilled labour ($14 per hour) 28 21Variable overhead ($4 per machine hour) 14 18Fixed overhead* 28 36

Profit 13 11

*Fixed overhead is absorbed using an absorption rate per machine hour. It is an unavoidablecentral overhead cost that is not affected by the mix or volume of products produced.

The maximum weekly demand for products J and L is 400 units and 450 units respectively

and this is the normal weekly production volume achieved by JRL. However, for the next fourweeks the achievable production level will be reduced due to a shortage of availableresources. The resources that are expected to be available are as follows:

Direct material A  900 kgDirect material B  1,750 kgSkilled labour   1,250 hoursMachine time 2,400 machine hours

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March 2012 7 Performance Management

Required:

(a)Identify, using graphical linear programming, the weekly productionschedule for products J and L that will maximise the profits of JRL during thenext four weeks. 

(15 marks) 

(b) The optimal solution to part (a) shows that the shadow prices of skilledlabour and direct material A are as follows:

Skilled labour $ NilDirect material A $11.70

Explain the relevance of these values to the management of JRL.

(6 marks)

(c) Explain, using the graph you have drawn in part (a), how you wouldcalculate by how much the selling price of Product J could increase beforethe optimal solution would change. 

(4 marks)

(Total for Question Six = 25 marks)

Section B continues on page 8 

TURN OVER

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Performance Management 8 March 2012

Question Seven

HTL owns three hotels in different regions of the same country. The company uses the sameaccounting policies and cost of capital of 10% per annum for all the hotels that it owns. Allrooms are sold on a “bed and breakfast” basis. The hotels are open for 365 days per year.The restaurants provide breakfasts to hotel guests only. At all other times the restaurants are

available to hotel guests and the general public. Details for each hotel for the year ended 31December 2011 are as follows:

Hotel Northern Southern EasternNumber of bedrooms available 120 250 135

% bedroom occupancy 80% 75% 60%

Regional Bedroom Market share % 15% 16% 5%

Restaurant capacity per day (meals) 100 120 85

Restaurant utilisation 60% 40% 60%

$000 $000 $000Revenue:

Bedroom with breakfast 3,328 8,500 2,365Restaurant 876 776Total

8374,204 9,276

Profit before tax

3,202

832 1,100 576

Net Assets at 31 December 4,200 7,400 4,400

 An analysis of the costs incurred by each of the hotels for the year ended 31 December 2011is as follows:

Hotel Northern$000

Southern$000

Eastern$000

Bed and breakfast related 2,847 7,231 2,082Restaurant related 525 945Total

5443,372 8,176 2,626

It has also been noted that the restaurant related costs, capacity and utilisation informationdoes not include breakfasts.

Some of the following performance indicators have already been calculated:

Hotel Northern Southern EasternReturn on Net Assets 20% 15% ???

Residual Income ($000) 412 ??? 136

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March 2012 9 Performance Management

Required:

(a) Discuss the relative performance of the three hotels.

Note:

Your answer should include:

•  a review of the relative profits of the rooms and restaurants in eachhotel; and

•  calculations of the Return on Net Assets, Residual Income and otherperformance measures that you think are appropriate.

(18 marks )

(b) The Northern Hotel manager has investment decision authority. The manager is consideringinvesting $800,000 in the construction of a leisure facility at the hotel. The hotel has

permission to build the leisure facility, but will have to accept the terms of an agreement withthe local community before beginning its construction. The facility is expected to generateadditional annual profit for the hotel over the next five years as follows:

$0002012 1102013 1202014 1552015 1452016 130

 At the end of 2016 the facility will have to be sold to the local community for $550,000. If thefacility is built, it will be depreciated on a straight line basis over the 5 year period (i.e.

$50,000 per annum).

The investment has a positive net present value of $225,000 when discounted at the group’scost of capital.

The manager of the hotel receives an annual bonus if the hotel’s Return on Net Assets ismaintained or improved. As stated in part (a) this was 20% for 2011 based on net assets atthe end of the year.

Required:

Discuss the effect of this investment on the future performance of the

Northern Hotel and whether, in the light of this, the hotel manager is likelyto proceed with the investment.

(7 marks)

(Total for Question Seven = 25 marks)

(Total for Section B = 50 marks)

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Performance Management 10 March 2012

End of question paper  Maths tables and formulae are on pages 11 to 14

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March 2012 11 Performance Management

PRESENT VALUE TABLE

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 12 March 2012

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n yearsr 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.10314 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605

8 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.03110 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 7.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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March 2012 13 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B. A ∩  B = A and  B (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P(B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P(B) – P(A ∩  B) 

Rules of MultiplicationIf A and B are independent:  P(A ∩B) = P(A) * P(B) If A and B are not independent:  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

xx

  ∑=  

fxx

∑=   (frequency distribution)

Standard Deviation

n

xxSD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P1/P0  Quantity relative = 100 * Q1/Q0 

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

w

Q

Qw

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 14 March 2012

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X, invested for n periods, compounded at r % interest

S = X[1 + r]n 

 Annuit y

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

PerpetuityPresent value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Yx = aXb

where:Yx = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output;X = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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March 2012 15 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. 

LEARNING OBJECTIVE VERBS USED DEFINITIONLevel 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

betweenConstruct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 16 March 2012

Performance Pillar

Management Level Paper

P2 – Performance Management

March 2012

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March 2012 1 P2

Performance Pillar

P2 – Performance Management

Examiner’s Answers

SECTION A

Answer to Question One

(a)$

Direct material (6,400 units x $4) 25,600Direct labour (see below) 8,503Other variable costs (6,400 units x $2) 12,800

46,903

Direct labour:

The time taken is expected to be:

Y=axb= 25 x 64

-0.1520 = 13.286 hours per batch, which is a total of 850.32 hours for 64

batches

850.32 hours x $10 per hour = $8,503.20

(b)

 Assuming no other cost savings can be made the direct labour cost would have to reduce by$1,903 (i.e. the excess of cost above the target cost) to a total cost of $6,600 which is theequivalent of 660 hours at $10 per hour.

660 hours in total represents an average time of 10.3125 hours per batch (660 / 64 batches)

Since the learning continued throughout the production of the 64 batches then this averagecan be used to determine the rate of learning required to achieve the target variable cost.

64 batches of production represent 6 doublings of cumulative output therefore:

10.3125 / 25 = 0.4125

6√0.4125 = 0.8628 

The learning rate at which the target variable cost would be achieved is 86.3%

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P2 2 March 2012

Answer to Question Two

(a)

Kaizen Costing is a system of cost reduction based upon the concept of continuous review ofsystems and procedures to identify and implement small incremental cost savings. It is usedin the production phase of a product and employees are both encouraged and empowered torecommend changes that they believe will reduce costs without affecting the quality ofproducts or otherwise affect the customer’s perception of products

(b)

With regard to the use of standard costing and variance analysis, since Kaizen Costing isbased on the concept of continuous small improvements to reduce costs then the originalstandard cost would no longer reflect the target that is achievable. Consequently themeasurement of performance against this target would be of limited usefulness.

In order to prepare meaningful reports SD would need to determine the extent of the

variances that have been caused by changes in the method of operations as a result of usingKaizen Costing. These variances would be reported as planning variances and the remainingcost differences would be reported as operational variances.

 Although the managers of SD will have been involved in the Kaizen process it is importantthat the variances between the target that the managers believed would now be achievableand the actual results are reported separately. Then the managers can consider whetherthese variances have arisen due to operational factors or due to over ambitious revisedtargets. The variance between the original target and the new Kaizen target (the planningvariance) measures the extent to which it is believed that Kaizen techniques have reducedSD’s costs.

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March 2012 3 P2

Answer to Question Three

Business process re-engineering involves examining business processes and makingsubstantial changes to the way in which an organisation operates. It requires the redesign ofhow work is done through activities. A business process is a series of activities that are linkedtogether in order to achieve the desired objective. For example material procurement might

be viewed as a business process which could impact on the separate activities of productionscheduling, storing materials, processing purchase orders, inspecting materials and payingsuppliers.

The aim of business process re-engineering is to enhance organisational performance byachieving improvements in business processes by focusing on simplification, improvedquality, enhanced customer satisfaction and cost reduction.

It may be that MLC needs to be able to reduce its selling prices in order to compete in themarket. This selling price reduction can only be sustained by a reduction in MLC’s unit costs,however such a reduction must not be achieved by compromising on quality.

Business Process re-engineering can be applied not only to manufacturing processes butalso to an extensive range of administrative activities. In the case of material handling MLCmight re-engineer the activity of processing purchase orders by collaboration with suppliers oftimber and other components for their products by integration of their production planningsystem with that of their suppliers. This would enable purchase orders to be sent directly totheir suppliers thereby obviating the need for any intermediate administrative activity.

 Additionally scheduled orders might be agreed with suppliers which would reduce the need tohold inventories of timber and other components. In circumstances where suppliers areworking in close collaboration with MLC, it may be possible to roll the quality back down thesupply chain and agree quality control procedures with suppliers which would reduce theneed to inspect incoming deliveries of timber and components. Thus savings in materialhandling costs could be achieved via reduced storage, processing and inspection costs. It

must be recognised that such costs do not add value to the final product and thus are of nobenefit to the customer.

In conclusion business process re-engineering may be useful to MLC because it may enablethem to identify cost savings that do not directly affect their products and so would not haveany effect on their customers’ perception of the quality or value of the products.

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P2 4 March 2012

Answer to Question Four

Feedforward control systems are the comparison of draft plans with the objectives of thecompany.

In the scenario the company has to produce budgets showing acceptable cost targets in order

to receive the first payment of its subsidy.

The first draft of the budget will need to be compared to the target costs that are acceptable tothe government office to ensure that the company qualifies for the subsidy. This comparisonprocess is the operation of a feedforward control system since the transport company willhave this cost target as one of its objectives. It may be that the first draft of the budget doesnot achieve the required cost target. If this is the case then there will need to be revisions tothe budget perhaps by changing the method of providing the transport service so that the costtarget is achieved. Care must be taken however to ensure that the proposed budget changesdo not cause the company to fail to meet its social objectives.

Feedback control systems are the comparison of actual results against the budget that hasbeen approved. Thus in the context of the transport company a comparison of the actual

monthly costs can be made against the budgeted costs for that month.

 As with any budget and actual comparison there may be an adverse or favourable variance. Ifthis is significant then further analysis may be required to determine its cause. This isparticularly important in the context of the transport company because failure to achieve thecost target will result in not receiving the balance of the subsidy payment. If action is requiredto reverse an adverse variance this will need to be done as soon as possible before the sizeof the variance is too great to reverse before the end of the year. This comparison process isfeedback control.

Thus the difference between feedforward and feedback control systems is that feedforwardoccurs in the budget setting stage whereas feedback control occurs during the year.

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March 2012 5 P2

Answer to Question Five

(a)

The main concepts of the Balanced Scorecard are that an organisation’s performance shouldnot be measured on the basis of its financial results alone. Other key performance indicatorsare relevant to an organisation’s success.

The balanced scorecard typically identifies four groups (or quadrants) of performanceindicator that would be suitable for most organisations, though each organisation is free todetermine the performance indicators that are most relevant to its own needs. The typicalquadrants are: customer perspective; internal business perspective; innovation and learningperspective; and financial perspective.

Many people believe that success in the non-financial performance measures will lead tosuccess in the financial performance measures so that these other measures are leadingmeasures whereas the financial measures are lagging measures.

The college could use the balanced scorecard to measure its success in other areas of itsbusiness. It is important for service businesses such as colleges to understand the wants ofits customers and thus measures connected with the customer perspective are important. Thecollege may discover that particular types of courses are demanded by their customers andthis may lead the college to develop new courses which can be measured using theinnovation and learning perspective.

The college can also look at how it operates its processes both in relation to its staff and itscustomers. Improvements in these processes could be used to improve the financial results,perhaps, because costs savings can be made.

(b)

The college could measure the number of new courses that it has provided to its customersduring the year. This measure relates to the innovation and learning perspective. The greaterthe number of courses, the more choice it has provided to its customers and thus increasedits potential customer base.

The college could measure the time it takes for its staff to answer the telephone at theadministration office. This is a measure of the effectiveness of its internal business processes.The longer it takes to answer the call the more likely is it that potential customers will be lostbecause they do not want to wait. If waiting time is significant, the customer may also deterothers from making such calls thus losing the college even more business.

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P2 6 March 2012

SECTION B

Answer to Question Six

(a)

See graph on separate sheet.

Workings for graph:

Iso contribution line: 41J + 47L = M

Constraints:

Material A 2J + 1L ≤ 900 Material B 2J + 4L ≤ 1750 

Skilled labour 2J + 1.5L ≤ 1250 Machine hours 3.5J + 4.5L ≤ 2400 Demand 0 ≤ J  ≤ 400 Demand 0 ≤ L  ≤ 450 

From the graph, it can be seen that the two binding constraints are those relating to Material A and Material B. The solution (from the graph) is to produce 310 units of J and 280 units ofL. (A simplex solution shows the true optimum to be 308.333 units of J and 283.333 units ofL).

(b)

The shadow price equals the additional contribution that would be earned from one extra unitof a scarce resource. In a situation such as this, where a number of resources are scarce, theshadow price of any particular scarce resource will depend on whether or not the resource isbinding.

The shadow price for skilled labour is NIL because although there is a shortage of skilledlabour it does not have a constraining effect on output of JR as other resources are morescarce.

Since material A is one of the binding constraints, if the availability of material A could beincreased by one unit, this would change the optimal plan. The increase in contribution as aresult of this change is the value of the shadow price of material A. The shadow price thusrepresents the maximum premium that should be paid for an additional unit of material A.

(c)

If there was a change in the selling price of product J then assuming that there were nochanges to the unit costs of either product or to the selling price of product L this would resultin a change to their relative unit contributions. This would change the slope of the isocontribution line, which may result in a different optimal solution.

In order to calculate by how much the selling price of product J would have to increase itwould be necessary to identify each of the extreme points of the feasible region and thencalculate the relative unit contributions of products J and L that would cause each of theseextreme points to be chosen in preference to the existing optimal solution.

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March 2012 7 P2

Answer to Question Seven

(a)

Hotel Northern Southern EasternReturn on Net Assets 20% 15% 13%

Residual Income ($000) 412 360 136

 All three hotels are making profits, though analysis shows that the Southern hotel is making aloss on its restaurant operation which is having a negative effect on its overall performance.

If the Southern hotel restaurant costs were to be similar to those of the Northern hotelrestaurant (i.e. 60% of its revenue) then the profits of the Southern hotel would increase byalmost $480,000 which would increase its return on assets to 21% (1,580/7,400) and itsresidual income would increase to $840,000.

The Southern hotel restaurant is of concern because it is loss making, this may be caused byits poor utilisation even though its selling prices ($44 per meal) are similar to those of theNorthern hotel restaurant ($40 per meal) and the Eastern hotel restaurant ($45 per meal).

 An analysis of the bed and breakfast room rates and room related costs is as follows:

Hotel Northern Southern EasternRoom rates per night $95 $124 $80

Room and breakfastcosts per night

$81 $106 $70

The differing prices being charged by the Northern and Southern hotels may be the effects ofthe market in each of those areas as the price difference does not seem to have significantlyaffected the market share achieved by each of the hotels (15% and 16% respectively). Thisfurther suggests that the poor utilisation of the restaurant in the Southern hotel is not causedby its prices. The Eastern hotel has a low market share and this might indicate that its roomrate is too high although its restaurant prices are similar to those of the Northern hotelrestaurant and it achieves the same 60% utilisation percentage so perhaps the lack of marketshare is caused by other establishments that offer cheaper accommodation, perhaps as lossleaders.

The hotels are not of the same size as measured by their number of bedrooms, so it is not fairto compare them on the basis of their residual income values.

Overall the Northern hotel has the highest return on assets, and the Eastern hotel has thelowest. The latter is caused by its poor occupancy rates which are related to its poor marketshare. The performance of the Southern hotel would be much improved if it could take actionsto make its restaurant operation profitable.

(b)

The investment has a positive net present value and therefore will increase the value of theNorthern hotel and of HTL. It is therefore appropriate that the investment goes ahead.However, since the bonus of the manager of the Northern hotel is determined by the hotel’sReturn on Assets, this must be considered to determine the likely action of the manager.

The net assets values of the new investment at the end of each of the next 5 years togetherwith the investment profits and the corresponding Return on Investment will be as follows:

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P2 8 March 2012

Incremental Net Assets

$000

Incremental Profit$000

RONA%

2012 750 110 14.72013 700 120 17.12014 650 155 23.8

2015 600 145 24.22016 550 130 23.6

The above calculations show that the investment yields a return in excess of the cost ofcapital of 10% in all years. However, it is not until 2014 that it yields a return greater than thecurrent Return on Net Assets of 20%. This would mean that, in the first two years, theinvestment would cause the hotel’s Return on Net Assets to be lower than its present level. As a consequence the manager is unlikely to want to proceed with the investment because itwill adversely affect the bonus receivable in the immediate future.

Indicative workings

Number of room nights:

Northern Hotel: 120 x 80% x 365 days = 35,040

Number of restaurant meals:

Northern Hotel: 100 x 60% x 365 days = 21,900

Room rates per night:

Northern Hotel: $3,328,000 / 35,040 = $95

Room and breakfast costs per night:

Northern hotel: $2,847,000 / 35,040 = $81

Restaurant selling price per meal:

Northern hotel: $876,000 / 21,900 = $40

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The Senior Examiner for P2 Performance Management offers to future candidatesand to tutors using this booklet for study purposes, the following background and

guidance on the questions included in this examination paper.

Section A – Compu lso ry

Question One The question examines candidates’ knowledge and understanding of thelearning curve and how it links with target costing. The learning outcome tested is B1(e)apply learning curves to estimate time and cost for new products and services.

Question Two The question examines candidates’ knowledge of Kaizen Costing andperformance reporting. The learning outcomes tested are B1(c) explain the concepts ofcontinuous improvement and Kaizen costing that are central to total quality management  andC2 (c) evaluate performance using fixed and flexible budget reports. 

Question Three This question examines candidates’ knowledge of business process re-engineering. The learning outcome tested is B1(g) explain how process re-engineering can beused to eliminate non-value adding activities and reduce activity costs.

Question Four The question examines candidates’ understanding of feedforward control andfeedback control in the context of a transport company. The learning outcome tested is C1(a)explain the concepts of feedback and feedforward control and their application in the use ofbudgets for planning and control.

Question Five The question examines candidates’ knowledge of  the Balanced Scorecard inthe context of a college. The learning outcome tested is C3(c) compare and contrasttraditional approaches to budgeting with recommendations based on the balanced scorecard.  

Section B – Compu lso ry

Question Six The question examines candidates’ knowledge and understanding of relevantcosts in the context of a scarce resource problem. It then tests candidates’ knowledge of thesensitivity of their solution to an increase in the selling price of one of the products. Thelearning outcomes tested are A1(a) discuss the principles of decision-making, including theidentification of relevant cash flows and their use alongside non quantifiable factors in makingrounded judgements and A2(b) interpret   variable/fixed cost analysis in multiple productcontexts to break-even analysis and product mix decision making, including circumstanceswhere there are multiple constraints and linear programming methods are needed to identify“optimal” solutions and A2(c) discuss the meaning of “optimal” solutions and how linear programming methods can be employed for profit maximising, revenue maximising and

satisfying objectives.

Question Seven The question examines candidates’ understanding of performance ratios,investment decisions and the relationship between those decisions and performancemeasurement. The learning outcomes tested are D1(a) discuss the use of cost, revenue, profit and investment centres in devising organisation structure and in management control ,D2(c) discuss alternative measures of performance for responsibility centres and D3(a)discuss the likely behavioural consequences of the use of performance metrics in managingcost, profit and investment centres. 

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May 2012 1 P2

Management Level Paper

P2 – Performance ManagementMay 2012 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early August atwww.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

RationaleThe question examines candidates’ knowledge and understanding of the learning curve andits application with a simple scenario. The learning outcome tested is B1 (e) apply learningcurves to estimate time and cost for new products and services.

Suggested ApproachCarefully read the data provided and recognise that 8 units is simply three doublings of the

first batch.

By use of the learning curve formula (or the traditional ‘doubling approach’) calculate theaverage direct labour cost of the first four batches. This is followed by specific use of theformula to calculate the cost of the fourth batch.

Part (a)(iii) involved using the answers from part (a)(i) and (a) (ii) and adding the sales andother costs to calculate the contribution for the product over its short lifetime

Part (b) required understanding of the learning rate that would generate a contribution of£150 000.

The average cost per batch needed to be compared to the original cost, followed by the

calculation of the third root of this percentage to determine the rate of the learning required.

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P2 2 May 2012

(a) (i)

 Average cost for 4 batches:y = axb

y = $40,000 x 4-0.152

= $32,400

(a) ( ii)

The total cost for the 4 batches = 4 x $32,400 = $129,600 Average cost for 3 batches:y = ax

b

y = $40,000 x 3-0.152

= $33,848The total cost for 3 batches = 3 x $33,848 = $101,544Cost for 4

th batch = $28,056

(a) (iii)

Total labour cost over the product’s life = $129,600 + (4 x $28,056) = $241,824Sales less non labour related cost over the product’s life = 8,000 x ($90 - $45) = $360,000CONTRIBUTION $118,176

(b)

In order to achieve a contribution of $150,000 the total labour cost over the products lifetimewould have to equal ($360,000 - $150,000) = $210,000This equals an average batch cost of $210,000 / 8 = $26,250This represents $26,250 / $40,000 = 65.625% of the cost of the first batch8 batches represents 3 doublings of outputTherefore the rate of learning required =3 √0.65625 = 86.9% = 87% 

Answer to Question Two

RationaleThe question tests learning outcome C3 (c) compare and contrast traditional approaches tobudgeting with recommendations based on the ‘balanced scorecard’.

The question examines candidate’s knowledge of the Balanced Scorecard in the context of a

community library, in particular the use of a non-financial performance indicators.

Suggested ApproachCarefully read the question and explain the key features of the balanced scorecard, followedby the request to state two perspectives and recommend, with reasons, a relevantperformance indicator for each perspective.

(a)

The Balanced Scorecard can be used to measure the performance of an organisation.

Traditionally performance was measured only in financial terms, but it is now recognised thatfinancial measures alone are not enough, hence the development of the Balanced Scorecard.

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May 2012 3 P2

There are different variations of the Balanced Scorecard that may be used since it facilitatesinternal performance measurement and thus is designed by each organisation to meet theirrequirements, however most Balanced Scorecards contain four perspectives. These are:Customer perspective; Internal Business perspective; Innovation & Learning perspective;Financial perspective. Each of these segments represents a different viewpoint on theoperation of the organisation. Each of these contributes to the success of the organisation, in

fact many argue that success in the first three of these perspectives leads to financialsuccess. The Balanced Scorecard develops strategies into operations.

(b)

Its customers would want to know that they can borrow the latest books and DVDs from thelibrary so as part of the Customer perspective a measure that could be used to monitor thelibrary’s success in this area would be the number of new items that had been added to thelibrary within a specified time period.

The library would also need to measure its own efficiency of operations, particularly as itrelies on government funding and donations. As part of the Internal Business perspective thelibrary can measure its speed in obtaining new titles. Recognising demand, identifying a

source, negotiating a price and placing an order all take time. The smaller the amount of timetaken the better will be the customer perception and the better value for money for the library.

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May 2012 5 P2

Answer to Question Four

RationaleThe question tests learning outcome B1(b) evaluate the impacts of just-in-time production,

the theory of constraints and total quality management of efficiency inventory and cost.

Suggested ApproachCarefully read the data required to clarify the exact requirements.

Part (a) required the production of a table to identify the average inventory level for eachquarter and from these figures the quarterly holding cost could be calculated.

Part (b) required calculations to establish the financial impact of changing to a JIT productionsystem, in particular calculating the relevant overtime costs in quarters 3 and 4. The totalcost of a move to JIT then needed comparing with the answer to part (a).

(a)

 Annual demand = 540,000 units. (Quarterly capacity of 135,000 units x 4 quarters = 540,000so no overtime is required)

Current system – Constant production

Quarter 1 2 3 4 TotalOpening inventory 0 35,000 60,000 5,000Production 135,000 135,000 135,000 135,000

Sales 100,000 110,000 190,000 140,000Closing inventory 35,000 60,000 5,000 0 Average inventory 17,500 47,500 32,500 2,500Inventory cost ($) 70,000 190,000 130,000 10,000 400,000

(b)

JIT production system

Quarter 1 2 3 4 TotalOvertime production  0 0 54,000 5,000Lost sales 1,000

 Additional cost ($)* 0 0 1,107,000 102,500Lost contribution 15,000

1,224,500

The change in profit would be a reduction of $824,500

* Additional Overtime cost per unit =Direct labour $35 x 0.5 = $17.50Variable overhead $10 x 0.3 = $ 3.00

$20.50

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May 2012 7 P2

as efficient as possible the required return from the product cannot be achieved, then thecompany should cease to make a product that is not viable and therefore would be able tofocus its resources on alternative sources of income.

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P2 8 May 2012

SECTION B 

Answer to Question Six

RationaleThe question tests learning outcomes A2 (b) interpret variable/fixed cost analysis in multiple product contexts to break-even analysis and product mix decision making, includingcircumstances where there are multiple constraints and linear programming methods areneeded to identify ‘optimal’ solutions and A2 (c) discuss the meaning of ‘optimal’ solutionsand how linear programming methods can be employed for profit maximising, revenuemaximising and satisfying objectives. 

Suggested ApproachCarefully analyse the data to identify the variable costs related to each product unit.Determine the ranking of each product, based on contribution per limiting factor and generatethe optimum product mix after removing the requirement of the order from the majorcustomer.

In part (b), a comparison was needed to evaluate the contribution that would have beengenerated from the answer to part (a), and the contribution that would have been generated ifthe major customer order was not satisfied in full. The comparison would reveal the value ofthe financial penalty.

Part (c)(i) required the identification of the objective function and the constraints that would beused in a linear programming model to determine the optimum usage of the resources tomaximise profits.

In part (c)(ii), explain which of the constraints are binding on the solution.

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May 2012 9 P2

(a)

Product W$/unit

R$/unit

 X$/unit

Selling price 90 126 150Variable costs 61 92

Contribution

106

29 34Kgs of Material B

444 6 5

Contribution / kg of B $7.35 $5.67 $8.80Ranking 2

nd  3

rd  1

st 

The major customer order is for 400 units of each of W, R and X and therefore uses 6,000kgsof material B (400 x (4+6+5)). This leaves 11,500 kgs of material B to be used for other sales.

Production plan:

Make (units) 500 250 1,600Uses (kg of B) 2,000 1,500 8,000

Optimum plan (including major customer order) is therefore:

W 900 unitsR 650 unitsX 2,000 units

(b)

By completing the order for the major customer WRX is giving up sales of 550 units of R (800 – 250) to the full price market. These units would yield of a contribution of $34 each =$18,700

In order to produce these units and thus not fulfil the major customer order in full WRX wouldneed to release 3,300 kg of material B from the major customer order (550 units x 6kgs perunit). This material would be released as follows:

Major customer sales:

Product  W$/unit

R$/unit

 X$/unit

Selling price 80 116 140Variable costs 61 92Contribution

10619 24

Kgs of Material B34

4 6 5

Contribution / kg of B $4.75 $4.00 $6.80Ranking 2

n  3

r   1

st 

Thus the additional contribution that can be earned and therefore the penalty value at whichWRX would decide not to supply the major customer order in full is $4,825 ($18,700 -$13,875).

(c) (i)

The objective function (P) is to maximise 29w + 34r + 44x where

w = number of units of W

r = number of units of Rx = number of units of X

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P2 10 May 2012

 And the constraints are:

Material B: 4w + 6r + 5x <= 11,500Direct labour: 2w + 4r + 5x <= 5,400Demand W: 0 <= w <= 500Demand R: 0 <= r <= 800

Demand x: 0 <= x <= 1600

(c) (ii)

Two constraints are binding:

Demand W – because the optimal solution is to produce 500 units of W

Direct labour hours – because the optimal solution uses 5,400 direct labour hours (500w uses1,000 hours and 880 x uses 4,400 hours; total 5,400 hours)

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May 2012 11 P2

Answer to Question Seven

RationaleThe question tests learning outcomes D3 (b) discuss the financial consequences ofalternative pricing strategies; A3 (a) apply an approach to pricing based on profit

maximisation in imperfect markets, A3 (a) discuss the impact of budgetary control systemsand setting of standard costs on human behaviour , and D3 (c) discuss the likelyconsequences of different approaches to transfer pricing for divisional decision making,divisional and group profitability, the motivation of divisional management and the autonomyof individual divisions.

Suggested ApproachCarefully read the scenario to identify the selling and buying divisions and the relevantquantities, variable costs and transfer prices. Using the formula provided calculate the sellingprice that would maximise the profits generated by the YD division and use this figure tocalculate the contribution that CX would generate for each division and the company in total.

In part (b), use the data given in the question, and figures generated in part (a), taking carefulnote of the principles associated with transfer pricing.

Part (c) required a discussion to describe the impact that alternative transfer prices have ondivisional and company profits.

(a) (i)

Currently the selling price is $375 and this gives demand of 2,000 units. For every $25increase in selling price demand reduces by 500 units so if the price was increased by (4 x$25) to $475 then demand would be zero.

Hence the price equation P = $475 – 0.05x

 And therefore Marginal Revenue = $475 – 0.1x

Marginal cost = Variable cost = $310

So, equating marginal revenue and marginal cost gives:

475 – 0.1x = 310

0.1x = 165

X = 1,650

 And thus selling price = $475 – (0.05 x 1,650) = $392.50

(a) (ii)

This would yield a monthly contribution for YD as follows:

$/unit $Selling price 392.50Variable cost 310.00Contribution 82.50Total monthly contribution: 1,650 units x $82.50 136,125

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P2 12 May 2012

(b ) (i) 

From a company perspective optimal decision making will occur if the transfer price is atcompany variable cost + any opportunity cost due to lost external sales.

It is stated that there is sufficient capacity within the company so no opportunity cost arises.

If the transfer price were to be at the variable cost of $70 per component this would changeYD’s perspective of its own variable costs (which would now be $200 per unit) and lead it to adifferent external price for its own product:

The price equation is unchanged P = $475 – 0.05x

 And therefore Marginal Revenue = $475 – 0.1x

Marginal cost = Variable cost = $200

So, equating marginal revenue and marginal cost gives:

475 – 0.1x = 200

0.1x = 275

x = 2,750

 And thus selling price = $475 – (0.05 x 2750) = $337.50 per unit

(b ) (ii) 

This would yield a monthly contribution for YD as follows:

$/unit $Selling price 337.50Component cost 140Other Variable cost 60Contribution 137.50

However, GH is no longer making any contribution on its internal sales378,125

The monthly contribution of the GHYD company is now ($Nil +$378,125) 378,125

(c)

The original company contribution from the sale of CX was $350,000. ($220,000 +$130,000).When the optimum price for the component was determined in part (a) above thetotal company contribution decreased to $317,625 but as shown in part (b) above with aninternal transfer price based on company variable cost the total company contributionincreased to $378,125.

Clearly therefore the effect of the transfer price is to distort the decision making processes insuch a way as to not be beneficial to the company as a whole.

The use of a company variable cost as the transfer price yields a better result for thecompany as a whole and also for YD. However the manager of GH will not be happy with thistransfer price because all of the additional contribution has accrued to YD and it is GH that

has forgone contribution on its internal sales. Thus while the transfer price should be set atvariable cost to enable the optimum decision to be made from a company perspective there

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May 2012 13 P2

needs to be a separate transfer price paid by YD to GH (as a fixed cost element) tocompensate them for their lost contribution.

If the transfer price were to be the external price, but the decision in (ii) above were made ona company optimisation basis then the company contribution from product CX would still be$378,125 but it would be shared YD $75,625 and GH $302,500. This means that the

increased activity for YD reduces its contribution but increases that of GH. YD will not behappy with this because their efforts result in a reduction of their divisional contribution. Theywill therefore expect a transfer price that is lower than the external price because GH is notgiving up any external sales to meet the internal demand and consequently can only sell extraunits to YD.

Clearly it can be seen that different transfer prices have an effect on both the companycontribution and on the contributions of each division.

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

 The Chartered Institute of Management Accountants 2012

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

23 May 2012 – Wednesday Afternoon Session 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 6.

Section B comprises 2 questions and is on pages 8 to 11.

Maths tables and formulae are provided on pages 13 to 16.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 May 2012

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

 A company is developing a new product. During its expected life it is expected that 8,000units of the product will be sold for $90 per unit.

The direct material and other non-labour related costs will be $45 per unit throughout the lifeof the product.

Production will be in batches of 1,000 units throughout the life of the product. The directlabour cost is expected to reduce due to the effects of learning for the first four batchesproduced. Thereafter the labour cost will remain at the same cost per batch as the 4

th batch.

The direct labour cost of the first batch of 1,000 units is expected to be $40,000 and a 90%learning effect is expected to occur.

There are no fixed costs that are specific to the product.

Required:

(a) (i) Calculate the average direct labour cost per batch of the first four batches.

(2 marks )  

(ii) Calculate the direct labour cost of the 4th batch.

(2 marks )  

(iii) Calculate the contribution earned from the product over its lifetime.

(2 marks)

Note: The learning index for a 90% learning curve = -0.152

Due to the low lifetime product volume of 8,000 units the company now believes thatlearning may continue throughout its entire product life.

(b) Calculate the rate of learning required (to the nearest whole percentage)to achieve a lifetime product contribution target of $150,000, assumingthat a constant rate of learning applies throughout the product’s life. 

(4 marks )  

(Total for Qu estion On e = 10 marks )

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May 2012 3 Performance Management

Question Two

 A small town with a population of 35,000 has a community library. The nearest alternativelibrary is 15 miles away. A further 20,000 people live within a ten mile radius of the town. Ofthese, 5,000 people live nearer to the alternative library.

The library has 25,000 registered users and on average each of the registered users borrowstwo books and one DVD every week. The library has 125,000 books and 50,000 DVDs on itsinventory lists, though this is constantly changing as old items are removed and new itemsare added.

The library offers a variety of types of book and DVD in order to attract interest from a largerange of potential users, and for some of the more popular items it has more than one copy.

The library does not charge a fee to its users; it is funded by donations and by government.However it does need to measure its performance and is considering the use of a BalancedScorecard.

Required:

(a) Explain the key features of the Balanced Scorecard approach toperformance measurement.

(4 marks)

(b) State TWO perspectives of the Balanced Scorecard and for EACH ofthese, recommend with reasons, ONE performance measure that couldbe used to measure the performance of the library.

(6 marks )  

(Total for Questio n Two = 10 marks)

Section A continues on the next page

TURN OVER 

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Performance Management 4 May 2012

Question Three

 A company has prepared the following summary from its functional budgets for the yearended 30th September 2013.

$000 $000Sales (100,000 units) 1,500

Opening inventory (zero units) nil

Production costs (115,000 units):Direct materials 460Direct labour 575Variable overhead 115Fixed overhead 230

1,380

Closing inventory (15,000 units) 180

Cost of Sales 1,200

Gross Profit 300

Other overhead costs 200

Net Profit 100

The directors of the company have now met to review the above statement. They havedecided to revise the budget as follows:

•  Due to competition, reduce the selling price by $5 per unit and despite the reduction

in selling price the demand for the product will reduce to 90,000 units.

•  Increase some of the unit production costs: direct labour by 10% and variableoverhead by 5%. No change is expected to any other costs.

•  Reduce production to 100,000 units.

Required:

(a) Prepare a summary statement (in the same format as that shown above)which clearly shows the effect of all of the changes proposed by thedirectors of the company. 

(6 marks)

(b) Discuss the motivational factors in involving functional managers in thesetting of functional budgets.

(4 marks)

(Total for Question Three = 10 marks)

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May 2012 5 Performance Management

Question Four

 A company has predicted its sales demand for each of the four quarters of 2013 as follows:

Quarter 1 2 3 4Sales volume (units) 100,000 110,000 190,000 140,000

The company has a normal production capacity of 135,000 units per quarter without needingto utilise any overtime working. However the capacity can be increased by up to 40% byworking overtime.

It is current company policy to manufacture units using a constant level production system.This means that although the opening and closing levels of inventory for the year are zerounits there are increases and decreases in the quarterly inventory levels. On this basis theselling price, variable production costs and contribution for 2013 are expected to be asfollows:

$ per unitSelling price 90.00

Direct materials 30.00Direct labour 35.00Variable production overhead 10.00

Contribution

75.00

15.00

However, any overtime working will increase the unit direct labour cost by 50% and the unitvariable production overhead cost by 30% for those units produced during overtime working.

In addition, the company incurs a storage cost of $4 per unit per quarter for each item that isheld in inventory. These costs are not included in the production costs above.

The company is considering whether it should change to a just-in-time (JIT) productionsystem, but is concerned that due to the fluctuating levels of its sales demand this may not befinancially beneficial. If the company did change to a JIT production system:

•  No inventory would be held.

•  There would be no change in the behaviour of variable production costs.

Required:

(a) Calculate the cost of holding inventory (based on average inventory levelsin each of the quarters) for each of the quarters and the year in total underthe current production system. Assume that sales occur evenly duringeach quarter.

(4 marks)

(b) Calculate the financial impact of changing to a JIT production system.

(6 marks)

(Total for Questio n Four = 10 marks)

TURN OVER 

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Performance Management 6 May 2012

Question Five

 A company uses “total cost plus” pricing. Recent results show that profits are falling and thatthe company is losing market share in what is becoming a very competitive market.

Required:

(a) Explain TWO disadvantages of “total cost plus” pricing.(4 marks)

(b) Explain how target costing could be of benefit to the company.

(6 marks)

(Total for Question Five = 10 marks )

(Total for Section A = 50 marks)

End of Section ASection B starts on page 8

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May 2012 7 Performance Management

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Performance Management 8 May 2012

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

WRX manufactures three products using different quantities of the same resources. Details ofthese products are as follows:

Product W R X$/unit $/unit $/unit

Market selling price 90 126 150

Direct labour ($7/hour) 14 28 35Material A ($3/kg) 15 12 21Material B ($6/kg) 24 36 30Variable overhead ($4/hour) 8 16 20Fixed overhead 12 7 12

73 99

Profit

118

17 27 32

The management of WRX has predicted the demand for these products for July as follows:

Product W 500 unitsProduct R 800 units

Product X 1,600 units

These demand estimates do NOT include an order from a major customer to supply 400 unitsper month of each of the three products, at a discount of $10 per unit from the market sellingprice.

During July the management of WRX anticipate that there will be a shortage of material B,and that only 17,500 kgs will be available.

It is not possible for WRX to hold inventory of any raw materials, work in progress or finishedproducts.

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May 2012 9 Performance Management

Required:

(a) Prepare calculations to show the optimum product mix to maximiseWRX’s profit for July, assuming that the order with the major customer issupplied in full. 

(7 marks )  

WRX has now realised that the contract with the major customer does not haveto be met in full for any of the three products. The customer will accept whateverWRX is prepared to supply at the contracted prices but they will charge afinancial penalty if WRX does not supply them in full in July.

(b) Calculate the lowest value of the financial penalty that the major customerwould need to insert in the contract to ensure that WRX meets its order infull in July. 

(8 marks)

(c) Now that you have presented your answers to (a) and (b) above to the managementteam of WRX, the production manager has advised that, due to holidays, the number ofdirect labour hours available will be reduced to a total of 9,800 hours in July.

 A decision has been made that WRX will fulfil its order with the major customer in full inJuly, and it has been agreed that a linear programming model will be used to determinethe optimum usage of the resources that will be available after setting aside thoserequired for the major customer’s order.

Required:

(i) Identify the objective function and the constraints to be used in the linearprogramming model to determine the optimum usage of the remainingresources to maximise the company’s profits for July.

(6 marks )  

(ii) The optimal solution has been determined as:

W 500 unitsR 0 unitsX 880 units

Explain which of the constraints you stated in (c)(i) are binding on thesolution. (You are not required to draw a graph.)

(4 marks )  

(Total for Question Six = 25 marks )

Section B continues on the next page 

TURN OVER

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Performance Management 10 May 2012

Question Seven

The GHYD company comprises two divisions: GH and YD.

GH manufactures components using a specialised machine. It sells the same componentsboth externally and to YD. The variable costs of producing the component are as follows:

$/unitDirect materials 25.00Direct labour 35.00Variable overhead 10.00

70.00

GH currently sells its components to the external market for $125 per unit.

GH also sells 4,000 components per month to YD. These are transferred at the same price asthe external selling price.

YD uses two of these components in each unit of its CX product. The current selling price of

the CX product is $375 per unit and at this selling price the demand for the CX is 2,000 unitsper month. The variable costs of producing a unit of CX are as follows:

$/unitDirect materials 35.00Components transferred from GH @ $125 each 250.00Direct labour 15.00Variable overhead 10.00

 At this level of activity the total monthly contribution earned by YD from the sale of the CXproduct is $130,000.

 An analysis of the demand for the CX product indicates that for every $25 increase in its

selling price the monthly demand would reduce by 500 units, and that for every $25 decreasein its selling price demand would increase by 500 units.

Note: If P = a - bx then MR = a - 2bx

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May 2012 11 Performance Management

Required:

(a)

(i) Calculate the selling price per unit of CX that would maximise the profitsgenerated by that product for the YD division. 

(4 marks)

(ii) Calculate, based on the selling price you calculated in (a)(i) above, themonthly contribution that CX would generate for: 

•  GHYD as a whole •  GH division •  YD division 

Note: Your answer should show three separate amounts. (6 marks)

(b) GHYD has now reviewed its transfer pricing policy and decided that alltransfer prices should be set so as to lead to optimal decision making forthe company as a whole. Assuming that the transfer price for thecomponent is changed to reflect this new policy: 

(i) Calculate the selling price per unit of CX that would maximise the profitsearned by CX for the company as a whole. Note: you should assumethat there is sufficient capacity within the company.

(4 marks )  

(ii) Calculate, based on the selling price you calculated in (b)(i) above, themonthly contribution that CX would generate for: 

•  GHYD as a whole •  GH division •  YD division 

Note: Your answer should show three separate amounts. (3 marks )  

(c) Discuss, using your answers to (a) and (b) above, the impact thatalternative transfer prices have on the divisional profits of GH and YD andon the company as a whole.

(8 marks)

(Total for Question Seven = 25 marks )  

(Total for Sectio n B = 50 marks )

End of question paper  Maths tables and formulae are on pages 13 to 16

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Performance Management 12 May 2012

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May 2012 13 Performance Management

PRESENT VALUE TABLE 

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 14 May 2012

CUMULATIVE PRESENT VALUE TABLE

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n yearsr 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103

14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.6058 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031

10 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 7.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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May 2012 15 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of Multiplication

If A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 16 May 2012

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

Perpetuity

Present value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output; X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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May 2012 17 Performance Management

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Performance Management 18 May 2012

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May 2012 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

between

Construct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 May 2012

Performance Pillar

Management Level Paper

P2 – Performance Management

May 2012

Wednesday Afternoon Session 

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September 2012 1 P2

Management Level Paper

P2 – Performance ManagementSeptember 2012 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early October atwww.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

RationaleThe question examines candidates’ knowledge and understanding of the learning curve andits application with a simple scenario. The learning outcome tested is B1 (e) apply learningcurves to estimated time and cost for new products and services.

Suggested Approach

Carefully read the data provided and recognise that the four figures required are simply a

doubling of the time for the first batch. By use of the simpler doubling approach, or by use ofthe more complex learning curve formula, calculate the average time per batch for all 4 levelsof production and multiply the resultant figures by the number of batches.

Part (b) involved using the answer from part (a) to calculate the approximate break-even levelof sales of the product. (Only an approximate figure could be calculated as the direct labourcost per unit constantly reduces whilst a learning curve is in existence.)

Part (c) required understanding of the workings of the learning curve in that labour cost perunit will increase (and the break-even point will also increase) if the rate of learning movesfrom 80% to 90%.

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P2 2 September 2012

(a) 

No of units No ofbatches

 Average direct labourcost

Total directlabour cost

100 1 $6,000 $6,000200 2 $4,800 $9,600

400 4 $3,840 $15,360800 8 $3,072 $24,576 Ans (i)

1,600 16 $2,457.60 $39,321.60 Ans (ii)3,200 32 $1,966.08 $62,914.56 Ans (iii)6,400 64 $1,572.86 $100,663.30 Ans (iv)

(b)

No of units 3,200 6,400$ $

Sales 224,000 448,000Direct material and othernon-labour related costs

144,000 288,000

Direct labour cost 62,914.56 100.663.30Fixed cost 60,000 60,000Total costs 266,914.56 448,663.30(Loss) (42,914.56) (663.30)

 As can be seen from the table above the breakeven point seems to be slightly above 6,400units.

(c) If the rate of learning were to be 90% instead of 80% this means that the labour time(and hence labour cost) per unit would reduce more slowly. Assuming that all other

data remained unchanged then costs would be higher and hence the break-even levelof sales would also be higher.

Answer to Question Two

Rationale

The question examines candidates’ knowledge of the Balanced Scorecard in the context of apassenger transport company. The learning outcome tested in C3 (c) compare and contrasttraditional approaches to budgeting with recommendations based on the balanced scorecard .

Suggested Approach

Carefully read the scenario provided to identify relevant information. Use the informationprovided to explain the balanced scorecard and how it could be used by the transportcompany, including an explanation of two measures, from different perspectives, that thecompany would use.

(a) The Balanced Scorecard can be used to measure the performance of an organisation.Traditionally, performance was only measured in financial terms, but it is nowrecognised that financial measures alone are not enough; hence the development of

the Balanced Scorecard.

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September 2012 3 P2

There are different variations of the Balanced Scorecard that may be used since itfacilitates internal performance measurement and thus is designed by eachorganisation to meet their requirements. However, most Balanced Scorecards containfour perspectives. These are: Customer perspective; Internal Business perspective;Innovation & Learning perspective and Financial perspective. Each of theseperspectives represents a different but equally important viewpoint on the operation of

the organisation. Each of these contribute to the success of the organisation, in factmany argue that success in the first three of these perspectives leads to financialsuccess that can be measured by an increase in profits. By measuring its performancefrom all of these different perspectives CX can identify the things that it does well andthe things that it needs to improve if it is to improve its performance and hence itsprofits. For example CX may discover that it needs to change the frequency of its busservices at certain times of the day; or on some of its routes. This understanding ofcause and effect can lead CX towards improved profits and long term success.

(b) CX could use the Balanced Scorecard to measure the performance of each of itsroutes by recognising that there are a number of different measures that can be used tomeasure performance.

For example CX could measure the capacity utilisation of each of its buses at differenttimes of the day and on different days of the week. This could be a measure of bothcustomer satisfaction (customer perspective) (because if the buses are too fullpassengers may have to stand or wait for the next service) or of the company’sefficiency (internal business perspective) in operating the appropriate frequency ofbuses to match customer demand.

 Another measure that CX could use would be the number of breakdowns of buses.This would be a measure of CX’s internal business processes to ensure thatpreventative maintenance avoids unnecessary breakdowns.

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P2 4 September 2012

Answer to Question Three

RationaleIn part (a) the question tests learning outcome C1 (b) explain the concept of responsibilityaccounting and its importance in the construction of functional budgets that support the

overall master budget. 

Suggested Approach

Part (a) Carefully read and understand the data provided, confirm your knowledge of budgets,standard costs and flexible budgeting and explain the links between them.

Part (b) Carefully read the question and then discuss the importance of your answer to (a),particularly how the use of planning and operational variances is important for managementcontrol.

(a)  An original budget is determined by predicting the expected level of activity and usingstandard costs to determine the expected variable cost for that level of activity. To thiswould then be added the expected fixed cost.

Standard costs are based on estimated resource requirements and the expected priceof those resources for each unit. These values are then multiplied by the expectedactivity level to determine the expected variable cost of that level of activity.

Budgets are a statement of the total costs, revenues and resource requirementsexpected for the budgeted level of activity. It is this budget that is approved by theBoard of Directors and used as the basis of comparison with actual results. However, itis most likely that the actual level of activity will differ from that budgeted. In suchcircumstances a simple comparison between the actual results and the original budget

would be both meaningless and unfair because some of the costs and the revenuesvary with the level of activity. In order to make a fair comparison flexible budgeting mustbe used.

Flexible budgeting recognises that, within the original budget, there are some costs andrevenues that are affected by the level of activity (variable) and others that are notaffected by activity levels (fixed). Using this analysis it is possible to produce a flexiblebudget showing the expected costs and revenues of the actual activity level. This canthen be compared with the actual costs and the differences (variances) used as ameasure of performance.

(b) In order to fairly measure performance actual activity must be compared with theoriginal budget to understand why the actual activity level differed from those budgeted;

and actual costs and revenues should be compared with the flexible budget to fairlymeasure the actual costs and revenues against those expected for the actual activityachieved. Thus it is important to understand the appropriate uses of each of the originaland flexed budget and how standard costs are used to compile the original budget andassist in the preparation of the flexed budget for cost comparison purposes.

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September 2012 5 P2

Answer to Question Four

Rationale

The question examines candidates’ knowledge of quality costs and the reporting of qualitycosts. The learning outcome tested is B1 (d) prepare cost of quality reports.

Suggested Approach

Part (a) carefully read the scenario to identify the relevant data. Identify which category ofquality cost each item should be placed. Calculate the correct number of faulty and returnedunits and evaluate these numbers. Present the numbers calculated in a traditional qualitycost report.

Parts (b) compare the new total quality cost figure with the quality cost figure in the questioni.e. before the proposed changes had been evaluated. Recommend if the company shouldaccept the proposal both from a financial and a non-financial perspective.

(a)

Statement of expected quality costs  $Prevention costs 500,000 Appraisal costs 30,000External failure costs (note 1) 286,880Internal failure costs (note 2)Total

332,0451,148,925

Note 1

Customer demand = 24,000 units, however 13% of the units delivered are rejected by

customers so 24,000 units = 87% of the units despatched to customers.

The number of units despatched to customers is therefore 24,000 / 0.87 = 27,586 units. Thismeans that 3,586 units have to be replaced. The variable cost of producing these units is $75per unit and there is a redelivery cost of $5 per unit so the total variable cost is 3,586 x $80 =$286,880

Note 2

Since 10% of the items manufactured are discovered to be faulty before they are despatchedthen 27,586 units represents 90% of the items tested before despatch so the initial production= 27,586 / 0.9 = 30,651 units. Thus 3,065 units are produced and rejected. These have avariable production cost of $75 per unit = $229,875.

The cost of the components included in the units produced is 30,651 units x $30 = $919,530

Since 10% of the components bought are damaged prior to their use then the cost of thesedamaged components = $919,530 x 10/90 = $102,170

Thus the total Internal Failure Cost = $229,875 + $102,170 = $332,045

(b) On purely financial grounds the company should not accept the proposal because thereis an increase of $163,040 in quality costs. However there may be other factors toconsider as the company may enhance its reputation as a company that cares aboutquality products and this may increase the company’s market share. On balance thecompany should accept the proposal to improve its long-term performance.

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P2 6 September 2012

Answer to Question Five

Rationale

This question examines candidates’ knowledge of the product life cycle and how unit sellingprices are likely to change as the product moves through the product life cycle. The learning

outcome examined is B1(i) discuss the concept of life cycle costing and how life cycle costsinteract with marketing strategies at each stage of the life cycle.

Suggested Approach

Carefully read the scenario and understand the pricing strategy chosen for this product. Thiscompany has elected to adopt a market skimming policy which implies that the product isunique and will initially be made in small volumes.

Describe the likely effects on unit selling prices (gradual reductions) and why these would beexpected.

The company has just launched an innovative new product using a market skimming pricingpolicy. This means that the selling price of the product is high and thus the product is onlyavailable to a small segment of the market that can afford to pay the high price for somethingthat is unique and innovative.

There are four stages to the product life cycle: Introduction, Growth, Maturity and Decline.

In the Introduction stage the product is unique and hence the company can charge a highprice. However the company’s competitors will buy the product and carry out reverseengineering to see how it works and how they can develop their own similar, but differentproduct. The competitors will be particularly attracted by the high unit selling price whichshould result in high unit profit. However, the company will seek to avoid this competition by

lowering its selling price towards the end of the Introduction stage to deter competitors fromentering the market and also to make its product more affordable to the wider market.

In the Growth stage the company will maintain its lower selling price to continue to attract newpurchasers of the product. If competitors have entered the market there may need to befurther reductions in selling price to maintain the growth unless the original product can bedifferentiated in other ways.

In the Maturity stage the selling price of the product is likely to be stable but may be reducedstill further, possibly by short term one-off offers or discounts for multiple purchases so thatthe product continues to be financially viable for as long as possible.

In the Decline stage the product may continue to be sold provided its margin is positive. If it is

not then the product may be bundled with other products or sold for less than its unit cost inorder to clear the company’s inventory of what has become an obsolete product.

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September 2012 7 P2

SECTION B 

Answer to Question Six

RationaleThe question examines candidates’ knowledge and understanding of relevant costs in thecontext of a contract for a new customer. The learning outcomes tested are (part a) A1 (c)discuss the particular issues that arise in pricing decisions and the conflict between ‘marginalcost’ principles and the need for full recovery of all costs; (part b) A1(a), discuss the principlesof decision-making including the identification of relevant cash flows and their use alongsidenon-quantifiable factors in making rounded judgments. 

Suggested Approach

Carefully read the question to identify the resources needed, and their relevant costs, tosatisfy the contract.

Prepare a statement that adopts relevant costing principles to show the relevant costs of thecontract. Explain each relevant cost that has been included in the statement and explain whyany values you have excluded are not relevant.

Part (b) discuss problems that could possible arise as a result of setting the price for thecontract using a relevant costing approach.

(a)

Note $Material D 1 1,520

Components 2 49,920Direct labour 3 11,050Specialist machine 4 10,000Machine operating costs 5 12,000Supervision 6 500Development time 7 NILGeneral fixed overhead 8 NIL

Total relevant cost 84,990

Notes:

1. Material D is in regular use by CDF and must be replaced. Consequently its relevant

value is its replacement cost. The historical cost is not relevant because it is a pastcost and the resale value is not relevant because CDF is not going to sell it becausethe material is in regular use.

2. CDF could obtain the components externally at a cost of $15 each which totals$60,000 or they could be obtained from RDF. The transfer price from RDF is ($8 +30%) + 20% = $12.48 per component. Thus the internal cost to CDF is $12.48 x 4000= $49,920. The opportunity cost to RDF is not relevant to CDF because from CDF’sviewpoint the relevant cost is the price they have to pay to their supplier. Since this islower than the external buying price the relevant cost for the contract is $49,920.

3. The employees in department W will continue to paid for their full hours regardless ofhow the work is completed because they are working at 100% capacity. Thereforetheir cost is irrelevant. The choice is between using employees from department Z ata cost of $15 per hour (total $12,750) or engaging sub-contract workers at a cost of$13 per hour (total $11,050). Since the use of sub-contract employees is the cheaperoption this is the relevant cost.

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P2 8 September 2012

4. CDF has a number of options: (a)If the machine were to be hired it would have a costof $15,000; (b) if the machine were bought and then sold at the end of the work itwould have a net cost of $20,000; or (c) if the machine were bought and thenmodified to avoid the need to buy the other machine it would have a net cost of$10,000 ( $50,000 plus $5,000 modifications less $45,000 cost of another machine).Thus the most economic approach is buy the machine and then modify it so the

relevant cost is $10,000.5. The machine operating costs are future costs of doing the work and therefore are

relevant.6. The supervisor’s salary is irrelevant, but the bonus needs to be included because it is

dependent on this work and therefore is relevant.7. The development time has already been incurred. Therefore it is a past cost and not

relevant.8. General fixed overhead costs and their absorption are not relevant because they will

be incurred whether the work goes ahead or not. Depreciation is also not relevantbecause it is an accounting entry based on the historical purchase of assets. It is notaffected by the work being considered.

(b) Two main issues arise when pricing work based on relevant costs:

•  Profit reporting; and•  Pricing of future work.

With regard to profit reporting, the decision as to whether to proceed with the work willhave been based on the use of relevant costs, but the routine reporting of the profitfrom the work will be based on the company’s normal accounting system. Since thissystem will be based on total cost, it is probable that the costs of the work reported willbe greater than its relevant cost. Consequently the amount of profit reported to havebeen made on this order will be lower than expected and may even be a loss. This maycause difficulties for the manager who accepted the work as as an explanation will berequired of the reasons why there is such a difference in profit.

With regard to the pricing of future work the difficulty lies in increasing the price forsimilar items for the same customer in future. Once a price is set, customers tend toexpect that any future items will be priced similarly. However, where a special price hasbeen offered based on relevant cost because of the existence of spare capacity thesupplier would not be able to continue to price on that basis as it does not recover itslong term total costs. There may also be difficulties created by this method of pricing asother customers are being charged on a full cost basis and if they were to discover thata lower price was offered to a new customer they would feel that their loyalty was beingpenalised.

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September 2012 9 P2

Answer to Question Seven

Rationale

The question examines candidates’ understanding of performance ratios, investmentappraisal and break-even analysis.

The learning outcomes tested are; part (a) and part (b) D2(c) discuss alternative measures of performance for responsibility centres, Part (c) A2(b) interpret variable/fixed cost analysis inmultiple product contexts to break even analysis and product mix decision making, includingcircumstances where there are multiple constrains and linear programming methods areneeded to identify optimal solution.

Suggested Approach

Part (a) establish the age of the assets of KL, and re-calculate the depreciation of HJ usingthe depreciation policy used by KL. Re draft the profit and loss and balance sheet extractusing the new depreciation figure, and re-calculate the ratios requested.

Parts (b) calculate for KL only, and using the new figures from part (a) the break even salesvalue in 2013. Re-calculation of the fixed cost being the most important aspect of this part ofthe question.

Parts (c) complete an investment appraisal summary to establish whether or not KL shouldreplace its existing non-current asset. (c)(ii) discuss, with supporting figures, the effect on thebreakeven sales value in 2013.

(a)  An analysis of KL’s non-current assets shows that they are four years old:

$000

Cost 1,800

Depreciation @ 25% in year 1 4501,350

Depreciation @ 25% in year 2 3371,013

Depreciation @ 25% in year 3 253760

Depreciation @ 25% in year 4 190570 as shown in the question

If the non-current assets of HJ are depreciated at the rate of 25% on a reducing balance basis(i.e. the same method as is used by KL) and its assets aged forward to year 4 then itsdepreciation charge for the year will be $211,000 (see below) thus increasing its profits to$469,000; and its non-current asset value will reduce by $967,000 so that its capital employedis $833,000.

 As a result of these changes to HJ’s results its revised ratios (and the original ratios of KL forease of comparison) would be:

HJROCE 469 / 833 56.30%Operating Profit margin 469 / 1,600 29.31% Asset Turnover 1,600 / 833 1.92

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P2 10 September 2012

HJ depreciation $000Original cost 2,000

Depreciation @ 25% in year 1 5001,500

Depreciation @ 25% in year 2 3751,125

Depreciation @ 25% in year 3 281844

Depreciation @ 25% in year 4 211633

(b) KL’s contribution to sales ratio is $590,000 / $990,000 = 59.6%

KL’s fixed costs (excluding depreciation) are $280,000 ($200,000 + $80,000).

If KL continues to use the same method of depreciation in 2012 and 2013 then itsdepreciation charge in 2012 will be 25% of $570,000 = $142,500; and in 2013 it will be

25% of $427,500 ($570,000 - $142,500) = $106,875.

Thus for 2013 KL’s fixed costs including depreciation are $386,875 ($280,000 +$106,875)

The break-even sales value is therefore: $386,875 / 0.596 = $649,119.

(c)

(i) The effect of the investment in the new equipment is to change the cost structure.

Fixed costs (excluding depreciation) are to increase by 30% this equals

($390,000 - $190,000) x 30% = $60,000

Variable costs are to decrease by 20% this equals

$400,000 x 20% = $80,000

Thus there is a net cash inflow from cost savings of $20,000 per annum

The present value of these future cost savings when discounted at 10% per annum for5 years is

$20,000 x 3.791 = $75,820

The residual value of the equipment in five year’s time is $285,000, this has a presentvalue of $285,000 x 0.621 = $176,985

Since the capital cost is $1.2m less the trade in of $427,500 there is a negative NPV of$519,695.

 As a result KL would not wish to replace its equipment.

(ii) If KL replaces its non-current assets with new equipment that has a cost of $1.2m thenthis will also cause a significant increase in the depreciation charge for the year. Thedepreciation charge for 2013 would be $300,000 whereas the depreciation on the

existing equipment would only be $106,875. This is an increase of $193,125. Inaddition the other fixed costs are expected to increase by $60,000 (see(c) (i)).

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September 2012 11 P2

The fixed costs for 2013 will now be $200,000 + 80,000 + 60,000 + 300,000 =$640,000.

Variable production costs are expected to reduce by 20% (see (b) above) which willimprove the contribution to sales ratio from 59.6% (590/990) to 67.7% (670/990).

If the investment goes ahead the breakeven sales value for 2013 will be $640,000/ .677= $945,668

Without the investment the breakeven sales value is $649,119 (see (b) above).

This means that KL would need to increase its sales by 45.7% in order to break-even.

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

 The Chartered Institute of Management Accountants 2012

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

Thursday 30 August 2012 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 5.

Section B comprises 2 questions and is on pages 6 to 9.

Maths tables and formulae are provided on pages 11 to 14.

The list of verbs as published in the syllabus is given for reference on page

15.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

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Performance Management 2 September 2012

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

 A company is developing a new product. During its expected life it is forecast that 6,400 unitsof the product will be sold for $70 per unit.

The direct material and other non-labour related costs are expected to be $45 per unitthroughout the life of the product.

Production is expected to be in batches of 100 units throughout the life of the product. Thedirect labour cost is expected to reduce due to the effects of learning throughout the life of theproduct. The total direct labour cost of the first batch of 100 units is expected to be $6,000and an 80% learning effect is expected to occur.

Fixed costs specific to this product are expected to be $60,000 in total for the life of theproduct.

Note: The value of the learning index for an 80% learning curve is -0.3219

Required:

(a) Calculate the total direct labour cost of the first:

(i) 800 units(ii) 1,600 units(iii) 3,200 units(iv) 6,400 units

(4 marks)

(b) Apply the results from part (a) to advise the company management of theapproximate break-even level of sales of the product. 

(3 marks)

(c) Explain the effect on the break-even level of sales if the rate of learningwas 90%. (No calculations are required.) 

(3 marks)

(Total for Qu estion On e = 10 marks )

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September 2012 3 Performance Management

Question Two

CX is a passenger transport company which is seeking to improve its profits. It operates anumber of bus routes within a 10 mile radius of a city centre. It operates a fleet of 100 buses,each of which has a capacity of 50 persons, throughout the day, seven days per week. Thefrequency of buses on each of its routes varies from a minimum of one to a maximum of four

per hour during the day and evening.

The passengers who use the buses are a mix of adults and children. Some routes are busierthan others and, at certain times, some passengers have to stand on the bus as there areinsufficient seats available.

The directors of CX are considering how best to measure the performance of each of theroutes that they operate and it has been suggested that they should use a BalancedScorecard approach.

Required:

(a) Explain how the Balanced Scorecard could be used by CX to improve itsprofits.

(4 marks )  

(b) Explain TWO performance measures, each from a different perspective ofthe Balanced Scorecard, that CX could use to measure the performanceof its routes. (You must state the perspective to which each of yourmeasures relates.)

(6 marks )  

(Total for Questio n Two = 10 marks)

Question Three

Required:

(a) Explain the links between budgets, standard costs and flexible budgeting.

(6 marks )  

(b) Discuss the importance of your answer to (a) for management control.

(4 marks )  

(Total for Qu estion Three = 10 marks)

Section A continues on the next page

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Performance Management 4 September 2012

Question Four

 A company manufactures a single product. The selling price, production cost and contributionper unit for this product for 2013 have been predicted as follows:

$ per unit

Selling price 90.00Direct materials (components) 30.00Direct labour 35.00Variable overhead 10.00Contribution

75.0015.00

The company has forecast that demand for the product during 2013 will be 24,000 units.However to satisfy this level of demand, production of 35,294 units will be required because:

•  15% of the items delivered to customers (4,235 units) will be rejected as faulty andwill require free replacement. The cost of delivering the replacement item is $5 perunit;

•  20% of the items manufactured (7,059 units) will be discovered to be faulty before

they are despatched to customers.

In addition, before production commences, 10% of the components that the companypurchases are damaged while in storage.

 As a consequence of all of the above, total quality costs for the year amount to $985,885.

The company is now considering the following proposal:

1. Spending $30,000 per annum on a quality inspector which would reduce thepercentage of faulty items delivered to customers to 13%; and

2. Spending $500,000 per annum on training courses for the production workers whichmanagement believes will reduce and sustain the level of faulty production to 10%.

Required:

(a) Prepare a statement that shows the quality costs that the company wouldexpect to incur if it accepted the above proposal. Your answer shouldclearly show the costs analysed using the four recognised quality costheadings.

(7 marks)

(b) Recommend with reasons, whether or not the company should accept the

proposal. (3 marks)

(Total for Questio n Four = 10 marks)

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September 2012 5 Performance Management

Question Five

 A company has carried out extensive product research and as a result has just launched anew innovative product unlike anything else that is currently available on the market. Thecompany has launched this product using a market skimming pricing policy.

The market in which it operates is highly competitive and historically success has beenachieved by being the first to market with new products. Only a small number of companieshave survived in the market and those that remain are constantly aiming to develop newproducts either by improving those already in the market or by extensive product research.

Required:

Explain, with reasons, the changes that the company may need to make to theunit selling price of the product as it moves through each of the four stages of itsproduct life cycle.

(Total for Question Five = 10 marks )

(Total for Section A = 50 marks)

End of Section A

Section B starts on page 6

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Performance Management 6 September 2012

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

CDF is a manufacturing company within the DF group. CDF has been asked to provide aquotation for a contract for a new customer and is aware that this could lead to further orders.

 As a consequence, CDF will produce the quotation by using relevant costing instead of itsusual method of full cost plus pricing.

The following information has been obtained in relation to the contract:

Material D40 tonnes of material D would be required. This material is in regular use by CDF and has acurrent purchase price of $38 per tonne. Currently, there are 5 tonnes in inventory which cost$35 per tonne. The resale value of the material in inventory is $24 per tonne.

Components4,000 components would be required. These could be bought externally for $15 each oralternatively they could be supplied by RDF, another company within the DF manufacturinggroup. The variable cost of the component if it were manufactured by RDF would be $8 perunit, and RDF adds 30% to its variable cost to contribute to its fixed costs plus a further 20%to this total cost in order to set its internal transfer price. RDF has sufficient capacity toproduce 2,500 components without affecting its ability to satisfy its own external customers.However in order to make the extra 1,500 components required by CDF, RDF would have to

forgo other external sales of $50,000 which have a contribution to sales ratio of 40%.

Labour hours850 direct labour hours would be required. All direct labour within CDF is paid on an hourlybasis with no guaranteed wage agreement. The grade of labour required is currently paid $10per hour, but department W is already working at 100% capacity. Possible ways ofovercoming this problem are:

•  Use workers in department Z, because it has sufficient capacity. These workers arepaid $15 per hour.

•  Arrange for sub-contract workers to undertake some of the other work that isperformed in department W. The sub-contract workers would cost $13 per hour.

Specialist machineThe contract would require a specialist machine. The machine could be hired for $15,000 or itcould be bought for $50,000. At the end of the contract if the machine were bought, it couldbe sold for $30,000. Alternatively it could be modified at a cost of $5,000 and then used onother contracts instead of buying another essential machine that would cost $45,000.

The operating costs of the machine are payable by CDF whether it hires or buys the machine.These costs would total $12,000 in respect of the new contract.

SupervisorThe contract would be supervised by an existing manager who is paid an annual salary of$50,000 and has sufficient capacity to carry out this supervision. The manager would receivea bonus of $500 for the additional work.

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September 2012 7 Performance Management

Development time15 hours of development time at a cost of $3,000 have already been worked in determiningthe resource requirements of the contract.

Fixed overhead absorption rate

CDF uses an absorption rate of $20 per direct labour hour to recover its general fixed

overhead costs. This includes $5 per hour for depreciation.

Required:

(a) Calculate the relevant cost of the contract to CDF. You must present youranswer in a schedule that clearly shows the relevant cost value for each of theitems identified above. You should also explain each relevant cost value youhave included in your schedule and why any values you have excluded are notrelevant.

Ignore taxation and the time value of money. (19 marks )  

(b) Discuss TWO problems that can arise as a result of setting prices usingrelevant costing.

(6 marks)

(Total for Question Six = 25 marks )

Section B continues on page 8  

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Performance Management 8 September 2012

Question Seven

HJ and KL are two companies that operate in the same industry sector. Details for the twocompanies for the year ended 31 December 2011 are as follows:

HJ

$000

KL

$000Revenue 1,600 990Cost of sales:Variable production costs 400 400Fixed production costs (includingdepreciation see Note 3) 800 390

1,200Gross profit

790400 200

 Administration costs (fixed) 120Operating profit

80280

Non-current assets:

120

Cost 2,000 1,800

Depreciation (see below) 400 1,2301,600 570

Net current assets 200Capital employed

1501,800 720

Performance measuresReturn on Capital Employed (ROCE) 15.56% 16.67%

Operating profit margin 17.50% 12.12%

 Asset turnover 0.89 1.38

Notes

1. Assume that the non-current assets of both companies are all used in their manufacturingprocesses.

2. The two companies use different depreciation policies: HJ depreciates its non-currentassets using straight-line depreciation at the rate of 20% of cost with no residual value;whereas KL uses the reducing balance method of depreciation at the rate of 25% perannum.

3. Included in the fixed costs of the year ended 31 December 2011 is depreciation of$400,000 for HJ and $190,000 for KL.

4. Each company purchased all of its non-current assets in the month the company wasformed. Neither company has purchased or disposed of any non-current assets sincetheir original purchase.

HJ has undertaken a benchmarking exercise. The Managing Director (MD) of HJ has beenasked to explain the company’s results compared to those of KL. The MD says thedifferences are because of HJ’s depreciation policy and the age of the company’s assets.

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September 2012 9 Performance Management

Required:

(a) Calculate the THREE revised performance ratios of HJ after adjusting itsresults to align the age of its assets and its depreciation policy with that ofKL.

(9 marks)

(b) Calculate, for KL only, the break-even sales value in 2013 assuming thatthere are no changes to its cost and selling price structure or to its mix ofsales, there are no purchases or disposals of non-current assets and thatthe existing depreciation policy continues to be applied.

(4 marks)

The directors of KL are now considering replacing its non-current assets with new equipmentthat will be fully operational from 1 January 2013. The manufacturer of the new equipment

has offered to accept the company’s old equipment as a trade in at its net book value at 31December 2012 of $427,500. If this offer is not accepted KL does not expect to be able todispose of the old equipment for ANY value at any time in the future.

The new equipment:

•  Has a cost of $1.2million before any trade in value is deducted;•  Increases the fixed production cost (excluding depreciation) by 30% per annum;•  Reduces the variable production cost per unit by 20%;•  Has a life of five years, a residual value after five years of $285,000 and is to be

depreciated using the same depreciation method that is currently being used for theexisting equipment;

 Assume that

•  There is no change to the unit selling price or demand for KL’s product;•  KL’s cost of capital for this type of investment is 10% per annum.

Required:

(c)

(i) Recommend, based on Net Present Value, whether or not KL shouldreplace its existing non-current assets.

Ignore taxation and inflation.(6 marks)

(ii) Discuss the effect on the break-even sales value in 2013 of investing inthe new equipment. Your answer should be supported by appropriatecalculations. 

(6 marks)

(Total for Question Seven = 25 marks )

(Total for Sectio n B = 50 marks)

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Performance Management 10 September 2012

End of question paper  Maths tables and formulae are on pages 11 to 14

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September 2012 11 Performance Management

PRESENT VALUE TABLE

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 12 September 2012

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n yearsr 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.10314 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605

8 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.03110 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 7.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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September 2012 13 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of Multiplication

If A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 14 September 2012

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

Perpetuity

Present value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output; X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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September 2012 15 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. 

LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

betweenConstruct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 16 September 2012

Performance Pillar

Management Level Paper

P2 – Performance Management

September 2012

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November 2012 1 P2

Management Level Paper

P2 – Performance ManagementNovember 2012 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early February atwww.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

RationaleThe question examines candidates’ knowledge, understanding and application of varianceanalysis linked to the learning curve. The learning outcome tested is B1 (e), apply learningcurves to estimate time and cost for new products and services. 

Suggested ApproachCarefully read and absorb the data provided, and by use of either the labour efficiency

planning variance, or the labour efficiency operating variance, calculate the revised standardtime to produce 32 units. The next step needed a calculation to arrive at the average timeper unit, and express this as a percentage of the time for the first unit (25 hours). Then, byrecognising that the number of ‘ doublings’ is five, take the fifth root of the percentage earliercalculated to arrive at the expected learning rate.

Part (b) requested you to explain two reasons why it is important for production and controlpurposes to identify the learning curve, such as scheduling, control and resourcing.

(a) The planning variance is $4,320. This represents 360 hours. Therefore the revisedstandard time to produce 32 units is (25*32) - 360 = 440 hours.

The cumulative average standard time per unit is 440/32 = 13.75 hours per unit

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P2 2 November 2012

The time for the first unit was 25 hours.

The cumulative average time per unit for the first 32 units as a percentage of the timefor the first unit is 55%.

32 units is 5 doublings of output (2, 4, 8, 16, 32) and therefore 55% is the fifth root ofthe learning rate

Therefore the expected learning rate was 88.7%

(b) The identification of the learning curve is important because of its impact on the timetaken to produce the output. This has implications in many areas of production planningand control:

Scheduling: it is important to know the expected time that the output will take so thatrealistic schedules can be produced. This is important for meeting deadlines and alsofor effective utilisation of resources (for example preventing under utilisation of

capacity).

Resources: production planning is needed to ensure that sufficient resources areavailable (e.g. materials). If the workers can work faster because of the learning curve itis important that the resources they need are available.

Control: if the learning curve is not identified, the efficiency variance is of little use forcontrol purposes. The impact of the learning curve will hide the true picture of thelabour efficiency variance because the ‘standard’ will be unrealistic if it is based on thetime taken for the first unit to be produced.

Note: the question asked for two reasons. Marks were awarded for reasons other thanthose shown above.

Answer to Question Two

RationaleThe question examines candidates’ knowledge and understanding of a flexed budget. Thelearning outcome tested is C2 (c), evaluate performance using fixed and flexible budgetreports. 

Suggested ApproachCarefully read and digest the relevant information and produce an amended statement thatincludes a flexed budget column. The variance column would now compare the flexedbudget with the actual column.

Part (b) asked for an explanation of a benefit and a limitation of the statement produced inpart (a).

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November 2012 3 P2

(a)

Performance report for the quarter ending October 2012

Budget FlexedBudget

 Actual Variance

Sales units 12,000 13,000 13,000Production units 14,000 13,500 13,500

$000 $000 $000 $000Sales 360 390 385 A5Direct materials 70 67.5 69 1.5 A

Direct labour 140 135 132 3 FVariable overhead 42 40.5 43 2.5 AFixed overhead 84 84 85 1 AInventory adjustment (48) (12) (12) 0Cost of sales 288 315 317 A2Gross Profit 72 75 68 A7

(b) The original statement compared budgeted revenues and costs with actual revenuesand costs. The resulting variances offer little insight into why the differences occurred.For effective performance review and control it is important the figures are comparedon a ‘like for like’ basis: there is little point in comparing the actual costs of producing13,500 units with the budgeted costs of producing 14,000 units. Therefore it isimportant that volume differences are taken out: this is the reason for flexing thebudget.

The flexible budget does not offer enough detail for responsibility and control. Thevariances are ‘total’ variances and do not point to areas of individual responsibility. For

example the total direct materials variance could be made up of a price variance and ausage variance. These variances will be the responsibility of different managers withinthe company.

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P2 4 November 2012

Answer to Question Three

RationaleThe question examines candidates’ knowledge of participative budgeting. The learningoutcome tested is C3 (a), discuss the impact of budgetary control systems and setting of

standard costs on human behaviour .

Suggested ApproachCarefully read the scenario to identify the circumstances associated with the introduction of aparticipative budget. A report addressed to the new Director was required that needed tocontain specific items such as potential benefits and disadvantages of involving newmanagers in this budget setting process. Finally the question asked for a recommendation tothe new Director relating to the introduction of a participative budget.

REPORT

To: Managing Director

From: XX

Subject: Participative budgeting.

Date: November 2012

IntroductionThe following report identifies two advantages and two disadvantages of involving managersin the setting of budgets.

Advantages1) If managers are involved in setting budgets then the budgets may be more relevant to the

business because the manager will have specialist knowledge of their area of thebusiness and they can incorporate this into their budgets. As a result the budgets willprovide a more realistic target and are a better indicator of likely results which can thenbe used in strategic planning and decision making with a view to meeting the terms of thecontract.

2) If managers are involved in the budget setting process then they are likely to takeownership of the budget and feel that failing to achieve it is a personal failure. This meansthat managers will be motivated to achieve the targets they have set and agreed, andconsequently the target is more likely to be achieved than one that is simply handed tothem without their involvement.

3) The new managers may gain valuable knowledge of the business by working closely with

the existing managers when preparing the budgets. The existing managers may havedetailed knowledge of current operations and the availability of resources that are ofbenefit for the new contract.

Disadvantages1) The managers may deliberately set themselves targets that are easier to achieve by the

inclusion of budgetary slack. This may result in the company’s performance being lowerthan it would have been had more difficult targets been imposed on the managers.However targets are set in the contract.

2) Some of the managers may have less experience than others in managing passengertransport operations. Consequently they may not understand the relationships that existbetween different budgets and the impact that one has on the other and they may takedecisions in their own area that are detrimental to another area of the business and to the

company as a whole.

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November 2012 5 P2

RecommendationIt is important that the managers work together as a team to prepare the company’s budgets.In this way they can share their expertise and produce a set of budgets that are realistic andfor the benefit of the company as a whole. In this way it is generally agreed that managerinvolvement in the budget setting process is likely to lead to better budgets and betterperformance.

Answer to Question Four

RationaleThe question examines candidates’ knowledge and understanding of quality costs. Thelearning outcome tested is B1 (d), prepare cost of quality reports.

Suggested ApproachPart (a) required an explanation of each of the four quality cost classifications using examples

from the scenario.

Part (b) required a discussion, using data from the scenario, to describe the relationshipbetween conformance costs and non-conformance costs and its importance to this company.

(a) Prevention costs are costs that are incurred in order to prevent poor quality.Examples from the data provided are expenditure on staff training and preventativemaintenance.

Appraisal costs are costs incurred to measure or appraise the quality of the itemsproduced. An example from the data provided is finished goods inspection cost.

Internal failure costs are costs that are incurred in rejecting or correcting faulty goodswhere the quality failure is discovered before the item is despatched to the customer.

 An example from the data provided would be the costs related to the goods that arerejected before delivery.

External failure costs are costs that are incurred as a result of customers rejectinggoods that have been delivered to them. In the data provided there are goods that havebeen rejected by customers. The costs associated with these rejects would includecollection and re-delivery costs and the loss of customer goodwill.

(b) Conformance costs are prevention and appraisal costs. Non-conformance costs areinternal and external failure costs. The relationship is that higher conformance costsshould in the long run lead to lower non-conformance costs.

In the data provided it can be seen that costs incurred on prevention and appraisalcosts were a greater percentage of turnover in 2012 compared to 2011 and as a resultthe level of external failures reduced. This would improve the perception of thecompany in the market.

It can also be seen that the level of failures identified before despatch increased. Thiscould be because of the greater expenditure on appraisal costs. However it wouldappear that there are far too many ‘rejects’ being manufactured and that the companyneeds to work towards improving the quality of its manufacturing processes rather thanrelying on quality inspections to identify sub-standard production. The company shouldwork towards ‘designing quality in’ as opposed to ‘inspecting poor quality out’.

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P2 6 November 2012

Answer to Question Five

RationaleThe question examines candidates’ knowledge of J.I.T. and the impact of its applicationcompared to a traditional stock control system. The learning outcome tested is B1(b),

evaluate the impacts of just-in-time production, the theory of constrains and total qualitymanagement on efficiency, inventory and cost .

Suggested ApproachPart(a) Carefully understand the details contained in the scenario and produce two planswhich would identify which method of stock control/management would incur the lowest totalcost.

 A full costing approach could have been adopted, but the approach which made the mosteconomical use of time was an incremental approach. Careful presentation of the figureswas essential for this part of the question.

Part (b) asked candidates to explain two reasons why the decision reached in part (a) shouldnot be based on this answer alone. (The marking schemes accommodated the answer givenin part (a) in that reasons could be accepted for either eventuality).

(a)

Quarter 1 2 3 4Production level using JIT (units) 19,000 34,000 37,000 50,000Incremental production comparedto constant level production

(16,000) (1,000) 2,000 15,000

Standard unit variable production cost $60 $60 $65 $70Incremental production cost $(excluding overtime) (960,000) (60,000) 130,000 1,050,000Overtime production (units) 1,000 14,000Overtime unit premium $ 26.00 28.00Overtime production cost $ 26,000 392,000Total incremental production cost (960,000) (60,000) 156,000 1,442,000

Net incremental production cost $578,000

Inventory costs saved by JIT system:

Units 1 2 3 4

Opening inventory 0 16,000 17,000 15,000Production 35,000 35,000 35,000 35,000Sales 19,000 34,000 37,000 50,000Closing inventory 16,000 17,000 015,000average inventory 8,000 16,500 16,000 7,500

Holding cost $ 104,000 214,500 208,000 97,500

Total holding cost = $624,000

Therefore overall there is a saving of $46,000 by changing to a JIT system.

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November 2012 7 P2

(b) On the basis of the above calculations CDE should change to a JIT production systembut there are other factors that should be considered:

How long is the contract? What will the demand be for next year and subsequent yearsgiven the important features of the component? It would be foolish to make the decision

based only on the first year’s forecast if this is to be a long term contract. A fullinvestment appraisal should be undertaken and the decision should be based on thenet present value of the relevant cash flows.

Overtime will be needed in the final two quarters. Given the rising costs and theovertime premium, can alternative methods of production be found? What will be theimpact of the overtime working on the workforce?

In a JIT production system there will be no inventory and consequently there is nomargin for errors in production. Consequently CDE may need to invest in quality controlsystems in order to ensure that the units produced are of the appropriate quality.

Note: the question asked for two factors. Marks were awarded to

other relevant comments. 

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P2 8 November 2012

SECTION B 

Answer to Question Six

RationaleThe question examines candidates’ knowledge and understanding of limiting factors, aspectsassociated with limiting factors, such as make v buy, and break even analysis. The learningoutcomes tested are: part (a) A2 (b), apply and interpret variable/fixed cost analysis inmultiple product contexts to break-even analysis and product mix decisions, includingcircumstances where there are multiple constrains and linear programming methods neededto identify ‘optimal’ solutions; part (b) A2(c), discuss the meaning of ‘optimal’ solutions anddemonstrate how linear programming methods can be employed for profit maximising,revenue maximising and satisfying objective; parts (c) and (d), A2(d), analyse the impact ofuncertainty and risk on decision models based on CPV analysis. 

Suggested ApproachPart (a) carefully read the question to fully understand the details provided and what wasrequired. The first step was to establish the limiting factor and then construct a table to allowthe company to arrive at a production plan that would maximise the company’s profit. It wasimportant that products C1 and C2 were treated in exactly the same way as the treatment forproducts P1, P2 and P3.

Part (b) required a sound understanding of shadow pricing, before addressing the figuresgiven in the question.

Part (c) required an understanding of breakeven analysis when faced with products which aresold in a specific ratio.

Part (d) used the same scenario as part (c) but required the ability to calculate the sensitivityof one of the products. Part (d) was not reliant on the completion of part (c).

(a) Resource requirements for internal production of all units demanded: 

Directlabour(hours)

Directmaterials

(kg)P1 (500 units) 1,250 100P2 (400 units) 600 160P3 (600 units) 1,800 240C1 (250 units) 250 25

C2 (150 units) 225Total

304,125

 Available555

4,300 420

 As can be seen the direct materials are the scarce resource so the ranking is based onthe contribution per kg of direct materials.

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November 2012 9 P2

P1$/unit

P2$/unit

P3$/unit

C1$/unit

C2$/unit

Selling price /Purchase cost

155 125 175 50 80

Direct labour ($10/hour) 25 15 30 10 15Direct material ($50/kg) 10 20 20 5 10

Variable overhead($40 / machine hour) 10 15 20 10Contribution / unit

20110 75 105 25

Direct material / unit35

550 187.5 262.5 250 175Contribution / kg ($) 1

st  4

t  2

n  3

r   5

Ranking 500 137 600 250 1Uses (kgs) 100 54.8 240 25 0.2

(b)  If there was an extra 0.2 kgs of direct material then the production of P2 would increaseby 1 unit and the production of C2 would reduce by 1 unit with a resulting increase incontribution of $40, thus the shadow price of the next 0.2kgs of direct material is $200per kg.

Then, until the demand for P2 is fully satisfied the shadow price would be $187.5 per kgprovided it could be purchased in multiples of 0.4kgs. The demand for P2 would be fullysatisfied once a further 105.2kgs had been obtained ((400 units – 137 units) x 0.4kg).

Thereafter any further materials would be used to produce C2 so the shadow pricewould reduce to $175 per kg.

(c)  Consider a ‘bundle’ of products in the mix 9L:6M:5N

L M N TotalSales mix 9 6 5 1 bundle

$ $ $Selling price per unit 300 600 230Variable cost per unit 100 300 50Contribution per unit 200 300 180Total contribution 1,800 1,800 900 4,500

Number of bundles needed to break even = 2,700,000/4,500 = 600

Therefore the sales plan to break even is 5,400L, 3,600M and 3,000N

(d)

L M N Total

Sales budget (units) 6,300 4,200 3,500$ $ $

Contribution per unit 200 300 180Total contribution 1,260,000 1,260,000 630,000 3,150,000Fixed costsProfit

2,700,000450,000

Contribution from L can drop by $450,000.

The contribution per unit, and therefore selling price per unit, can fall by $450,000/6,300 =$71.43 per unit.

The current selling price per unit is $300.

Therefore the sensitivity is $71.43/$300 = 23.8% 

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P2 10 November 2012

Answer to Question Seven

RationaleThe question examines candidates’ understanding of transfer pricing, the calculation of themaximum profit for a division and the company as a whole, and a discussion on transfer

pricing using opportunity cost. The learning outcomes tested are: part (a) and part(c), D3(c),discuss the likely consequences of different approaches to transfer pricing for divisionaldecision making and group profitability, the motivation of divisional management and theautonomy of individual divisions. 

Part (b), D2(b), prepare and discuss revenue and cost information in appropriate formats for profit and investment centre managers taking due account of cost viability, attributable costs,controllable costs, and identification of appropriate measures of profit centre ‘contribution’ .

Suggested ApproachPart (a)(i) Carefully digest the details in the question and calculate the revenue generated bythe complete cameras when viewed by the Optics divisional manager.

The main aim was to calculate the selling price the Optics division would transfer the opticaldevice to the Body division.

Part (a)(ii) a required similar calculations but the transfer price needed to generate themaximum profit for the OB group.

Part (b) considered the transfer of items between two divisions of the same company andrequired calculations to address the two situations described in the questions.

Part (c) required a discussion relating to the use of opportunity costs as a basis for transferpricing.

 All parts of this question required answers to relate to the scenarios in the question.

(a)

(i) Optics division Price equation is P = 6,000 – 0.5x

Profit maximised when MC = MR

1,200 = 6,000 – xx = 4,800

Therefore P = 6,000 – 2,400 = $3,600

Body Division Price equation is P = 8,000 – (1/3)x

Profit maximised when MC = MR

The marginal cost for the complete camera will be 1,750 + 3,600 = 5,350

5,350 = 8,000 – (2/3)x(2/3)x = 2,650x = 3,975

P = 8,000 – (1/3)3,975

P = $6,675

Revenue generated by the complete cameras = 3,975 * $6,675 = $26,533,125

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November 2012 11 P2

(ii) If the transfer price was set to maximise the profits of the group it would be $1,200 andthe marginal cost of a complete camera would be $2,950

MC = MR

2,950 = 8,000 – (2/3)x

(2/3)x = 5,050x = 7,575

P = 8,000 – (1/3)7,575P = $5,475

Revenue generated by the complete cameras = 7,575 * $5,475 = $41,473,125

(b)

(i) Return required by PD = $2.4m * 12% = $288,000

Therefore total contribution needed = $2,688,000Total contribution = (x – 1.40) * 4,480,000

2,688,000 = (x – 1.40) * 4,480,000

x – 1.40 = 2,688,000/4,480,000 = 0.60

Therefore the minimum selling price per box that PD would be willing to charge is$2.00.

(ii) Return required by SD = $6m * 12% = 720,000

Total contribution needed = $6,720,000

6,720,000 = 13,500,000 – (x * 500,000)

x*500,000 = 6,780,000

x = 13.56

The maximum variable cost that would allow SD to earn a return of 12% is $13.56. Thevariable costs from within SD are $12.00 and therefore the maximum that it would bewilling to pay for a box is $1.56

(c)  The possible extreme transfer prices are:

Marginal cost: no ‘reward’ is given to the supplying division. This method could beacceptable to the supplying division if there was spare capacity but there would be areluctance to trade at this price because of the lack of a reward. Under this system PDwould supply the boxes to SD at $1.40 each. However PD is operating very close tocapacity and if demand from external customers increased the opportunity cost wouldbe the external sales that would be forgone.

Market price: this should be used if there is a perfectly competitive market. The sellingdivision will, if operating efficiently, be expected to earn a profit and the buying divisionshould be happy to buy at this price as the only alternative is the open market. Theprice should be reduced for any ‘internal’ savings. This is what PD wants to do (charge

SD the external selling price).

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P2 12 November 2012

Using opportunity cost as the transfer price would enable the above extremes to berecognised. Therefore the view of the Manager of SD is worthy of support. If PD cansell all of its output externally then the opportunity cost would be the selling price.Consequently PD should not be penalised by having to accept a lower price from SD. Ifthere is spare capacity then SD should be allowed to benefit and could then be charged

 just the marginal cost.

However the performance appraisal will have an impact on the behaviours of themanagers and their willingness to ‘trade’ must be considered. One solution to this couldbe to use a ‘dual pricing’ system.

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

 The Chartered Institute of Management Accountants 2012

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

21 November 2012 – Wednesday Afternoon Session 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 6.

Section B comprises 2 questions and is on pages 8 to 11.

Maths tables and formulae are provided on pages 13 to 16.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 November 2012

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

 A company has developed a new product. The following information was prepared by thetrainee accountant for presentation at the first performance review meeting for the newproduct.

Standard labour wage rate $12 per labour hourStandard labour hours per unit 25 hours

Output to date 32 units Actual labour hours worked 460 hoursLabour efficiency variance $4,080 favourable

The Management Accountant pointed out that this analysis ignored the learning curve andthat 25 hours was the time taken for the first unit. The Management Accountant said that abetter representation of the performance would be obtained by splitting the variance intoplanning and operating elements and calculated them to be as shown below:

Labour efficiency planning variance $4,320 favourableLabour efficiency operating variance $240 adverse

Required:

(a)  Calculate the learning rate that the Management Accountant assumedwhen recalculating the variances.

(6 marks )  

(b) Explain TWO reasons why it is important for production planning andcontrol purposes to identify the learning curve.

(4 marks )  

(Total for Qu estion On e = 10 marks)

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November 2012 3 Performance Management

Question Two

 A newly formed engineering company has just completed its first three months of trading. Thecompany manufactures only one type of product. The external accountant for the companyhas produced the following statement to present at a meeting to review performance for thefirst quarter.

Performance report for the quarter ending 31 October 2012

Budget Actual VarianceSales units 12,000 13,000 1,000Production units 14,000 13,500 (500)

$000 $000 $000 $000  $000 Sales 360 385 25Direct materials 70 69 1Direct labour 140 132 8Variable production overhead 42 43 (1)Fixed production overhead 84 85 (1)

Inventory adjustment (48) (12) (36)Cost of sales 288 317 (29)Gross profit 72 68 (4)

The external accountant has stated that he values inventory at the budgeted total productioncost per unit.

Required:

(a) Produce an amended statement for the quarter ending 31 October 2012

that is based on a flexed budget.  (6 marks)

(b) Explain ONE benefit and ONE limitation of the statement you haveproduced.

(4 marks )  

(Total for Questio n Two = 10 marks)

Section A continues on the next page

TURN OVER 

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Performance Management 4 November 2012

Question Three

KL is a transport company that has recently won a five-year government contract to providerail transport services. The company appointed a new Director to take responsibility for thegovernment contract. She has worked in various positions in other rail transport companiesfor a number of years. She has put together a team of managers by recruiting some of her

former colleagues and some of KL’s current managers.

The contract stipulates that the company should prepare detailed budgets for its first year ofoperations to show how it intends to meet the various operating targets that are stated in thecontract. The new Director is undecided about whether she should prepare the budgetsherself or whether she should involve her management team, including the newly recruitedmanagers, in the process.

Required:

Produce a report, addressed to the new Director, that discusses participative

budgeting.

Note: your report must

•  explain TWO potential benefits and TWO potential disadvantages ofinvolving the new and existing managers in the budget setting process.

•  provide a recommendation to the new Director.

(10 marks)

(Total for Qu estion Three = 10 marks)

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November 2012 5 Performance Management

Question Four

 A manufacturing company is reviewing its progress towards meeting its objective of having areputation for producing high quality products. Extracts from the company’s records for eachof the years ended 30 September 2011 and 2012 are shown below.

2012 2011% of units rejected by customers 12% 20%% of units rejected before delivery 12% 3%

Costs as % of revenueRaw material inspection 8% 3%Direct material 18% 20%Direct labour 13% 12%Training 8% 4%Preventative machine maintenance 8% 2%Machine breakdown maintenance 5% 10%Finished goods inspection 7% 1%

Required:

(a) Explain each of the four quality cost classifications using examples fromthe above data. 

(4 marks)

(b) Discuss, using the above data, the relationship between conformancecosts and non-conformance costs and its importance for this company. 

(6 marks)

(Total for Questio n Four = 10 marks)

Section A continues on the next page

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Performance Management 6 November 2012

Question Five

CDE has recently won a contract to supply a component to a major car manufacturer that isabout to launch a new range of vehicles. This is a great success for the design team of CDEas the component has many unique features and will be an important feature of some of thevehicles in the range.

CDE is currently building a specialised factory to produce the component. The factory willstart production on 1 January 2013. There is an expected demand for 140,000 units of thecomponent in 2013.

Forecast sales and production costs for 2013:

Quarter   1 2 3 4Sales (units) 19,000 34,000 37,000 50,000

$ $ $ $Variable production cost per unit 60 60 65 70

Fixed production overheads for the factory are expected to be $2.8 million in 2013.

 A decision has to be made about the production plan. The choices are:

Plan 1: Produce at a constant rate of 35,000 units per quarter  Inventory would be used to cover fluctuations in quarterly demand. Inventory holding costswill be $13 per unit and will be incurred quarterly based on the average inventory held in eachof the four quarters.

Plan 2: Use a just-in-time (JIT) production system The factory would be able to produce 36,000 units per quarter in ‘normal’ time and up to afurther 20,000 units in ‘overtime’. However, each unit produced in ‘overtime’ would incuradditional costs equal to 40% of the forecast variable production cost per unit for that quarter.

Required:

(a) Produce calculations using the above data to show which of the two planswould incur the lowest total cost in 2013.

(6 marks)

(b) Explain TWO reasons why the decision about the production plan should notbe based on your answer to part (a) alone.

(4 marks)

(Total for Question Five = 10 marks )

(Total for Section A = 50 marks)

End of Section A

Section B starts on page 8

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November 2012 7 Performance Management

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Performance Management 8 November 2012

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

Scenario for parts (a) and (b) Company WX manufactures a number of finished products and two components. Threefinished products (P1, P2, and P3) and two components (C1 and C2) are made using thesame resources (but in different quantities). The components are used internally by thecompany when producing other products but they are not used in the manufacture of P1, P2or P3.

Budgeted data for December for P1, P2, P3, C1 and C2 are as follows:

P1 P2 P3 C1 C2Units demanded 500 400 600 250 150

$/unit $/unit $/unit $/unit $/unitSelling price 155 125 175 - -Direct labour ($10/hour) 25 15 30 10 15Direct material ($50/kg) 10 20 20 5 10Variable production overhead($40/machine hour)

 

10 15 20 10 20

Fixed production overhead($20/labour hour)

50 30 60 20 30

Gross profit 60 45 45 - -

Further information for December:

Direct labour: 4,300 hours are available.

Direct material: 420 kgs are available.

Machine hours: no restrictions apply.

Components: C1 and C2 are readily available from external suppliers for $50 and $80 perunit respectively. The external suppliers are reliable and the quality of the components issimilar to that of those manufactured by the company.

Required:

(a) Produce calculations to determine the optimal production plan for P1, P2, P3, C1and C2 during December.

Note: it is not possible to produce partly finished units or to hold inventory of any ofthese products or components.

(10 marks )  

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November 2012 9 Performance Management

(b) There is a possibility that more of the direct material may become available duringDecember. The shadow price per kg of the direct material has been calculated tobe $200, $187.50 and $175 depending on how much extra becomes available.

Required:

Explain the shadow prices of $200, $187.50 and $175 for the direct material.Your answer should show the changes to the resource usage and the productionplan for each of the shadow prices.

(6 marks)

Scenario for parts (c) and (d) Company YZ manufactures products L, M and N. These products are always sold in the ratio9L:6M:5N. The budgeted sales volume for December is a total of 14,000 units. The budgeted

sales volumes, selling price per unit and variable cost per unit for each of the products areshown below:

L M NSales budget (units) 6,300 4,200 3,500

$ $ $Selling price per unit 300 600 230Variable cost per unit 100 300 50

The budgeted fixed costs of the company for December are $2.7 million.

Required:

(c) Calculate the number of units of each product that must be sold forCompany YZ to break even in December given the current sales mix ratio.

(4 marks)

(d) The Sales Manager has now said that to be able to sell 6,300 units ofproduct L in December it will be necessary to reduce the selling price ofproduct L.

Calculate the sensitivity of Company YZ’s total budgeted profit forDecember to a change in the selling price per unit of product L.

(5 marks)

(Total for Questio n Six = 25 marks )

Section B continues on the next page 

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Performance Management 10 November 2012

Question Seven

Scenario for part (a)The OB group has two divisions: the Optics Division and the Body Division. The OpticsDivision produces optical devices, including lenses for cameras. The lenses can be solddirectly to external customers or they can be transferred to the Body Division where they are

sold with a camera body as a complete camera.

Optics Division The relationship between the selling price of a lens and the quantity demanded by externalcustomers is such that at a price of $6,000 there will be no demand but demand will increaseby 600 lenses for every $300 decrease in the price. The variable cost of producing a lens is$1,200. The fixed costs of the division are $12 million each year. The Optics Division has thecapacity to satisfy the maximum possible demand if required.

Body Division After the lens has been included with a body to make a complete camera the relationshipbetween selling price and demand is such that at a price of $8,000 there will be no demandfor the complete camera but demand will increase by 300 complete cameras for every $100

decrease in the price. The Body Division has annual fixed costs of $15 million and has thecapacity to satisfy the maximum possible demand if required. The total variable costs of acamera body and packaging it with a lens are $1,750 (this does not include the cost of alens).

Note: If P = a – bx then Marginal Revenue (MR) will be given by MR = a – 2bx.

Required:

(a) Calculate the total revenue that would be generated by the completecameras if:

(i) the Manager of the Optics Division set the transfer price of a lens equalto the selling price which would be set to maximise profits from the saleof lenses to external customers;

(ii) the transfer price of a lens was set to maximise the profits of the OBgroup from the sale of complete cameras.

(10 marks )  

Scenario for parts (b) and (c) 

The FF group is a divisionalised company that specialises in the production of processed fish.Each division is a profit centre. The Smoke Division (SD) produces smoked fish. ThePackaging Division (PD) manufactures boxes for packaging products.

Smoke Division (SD) The Manager of SD has just won a fixed price contract to supply 500,000 units of smoked fishto a chain of supermarkets. This will fully utilise the capacity of SD for the next year. Budgetdetails for the next year are:

Variable cost per unit $12.00 (excluding the box)Fixed costs $6.0 millionRevenue $13.5 millionOutput 500,000 units of smoked fish

Each unit of smoked fish requires one box.

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November 2012 11 Performance Management

Packaging Division (PD) The Packaging Division has agreed to supply 500,000 boxes to SD at the same price that itsells boxes to external customers. Budget details for PD (including the order from SD) for thenext year are:

Variable production cost $1.40 per box

Fixed costs $2.4 millionOutput 4.48 million boxesCapacity 4.50 million boxes

Company Policy It has been announced today that FF will be introducing a new performance appraisal system.The Divisional Managers will only be paid a bonus if the profit of their division is at least 12%of assets consumed during the next year. The value of the assets consumed is assumed tobe the same as the fixed costs.

Required:

(b) Calculate, following the change to the company policy:

(i) the minimum price per box that PD would be willing to charge;

(3 marks)

(ii) the maximum price per box that SD would be willing to pay.(4 marks)

(Total for part (b) = 7 marks)

(c)The Manager of SD is unhappy about paying the same price per box asan external customer and thinks that transfer prices should be set usingan opportunity cost-based approach.

Discuss the view that transfer prices should be set using opportunitycost. You should use the data from the FF group to illustrate youranswer.

(8 marks)

(Total for Question Seven = 25 marks )  

(Total for Sectio n B = 50 marks )

End of question paper  Maths tables and formulae are on pages 13 to 16

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Performance Management 12 November 2012

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November 2012 13 Performance Management

PRESENT VALUE TABLE 

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 14 November 2012

CUMULATIVE PRESENT VALUE TABLE

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n yearsr 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103

14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.6058 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031

10 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 7.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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November 2012 15 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of MultiplicationIf A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 16 November 2012

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

PerpetuityPresent value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output; X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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Performance Management 18 November 2012

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November 2012 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

between

Construct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 November 2012

Performance Pillar

Management Level Paper

P2 – Performance Management

November 2012

Wednesday Afternoon Session 

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 The Chartered Institute of Management Accountants 2013

Management Level Paper

P2 – Performance ManagementNovember 2013 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early February atwww.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

RationaleThe question examines candidates’ knowledge and understanding of the learning curve.The learning outcome tested is B1(e), apply learning curves to estimate time and cost for new products and services. 

Suggested ApproachCandidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the time required toproduce the 64

th batch and the variable cost. The time for batch number 64 was required;

candidates then needed to apply the variable costs to calculate the cost of the batch ratherthan the cost of a unit.

In part (b) candidates were required to give three conditions that must exist in the productionprocess of Product Z for the learning curve effect to be realised. Full explanations, relatingthe conditions to Product Z production, were needed to score the highest marks.

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P2 2 November 2013

(a) (i)

Cumulative average time for first 64 batches

y = ax   x = 64 y = 11.03 hours

a = 15 hours b = -0.074

Total time for first 64 batches

11.03 hours * 64 = 705.92 hours

Cumulative average time for first 63 batches

y = axb x = 63 y = 11.04 hours

a = 15 hours b = -0.074

Total time for first 63 batches

11.04 hours * 63 = 695.52 hours

Time for batch 64 = 705.92 - 695.52 = 10.40 hours

(ii)$ Working

Labour 260 1Material 520 2

Variable overhead 52 3

Total variable cost 832

Workings

1 10.40 hours x $25 per hour

2 $52 * 10 units per batch

3 10.40 hours x $5 per hour

(b)

In order for the learning curve effect to be realised at PWR a number of conditions must besatisfied.

The production process must be labour intensive. The Product Z production process shouldhave direct involvement from the company’s labour force rather than being largely automated.The process must be labour intensive in order for the learning curve effect to apply.

The production process should be complex in its composition. Complicated production

processes will allow scope for learning. This seems to be the case for Product Z with the firstbatch expected to take 15 hours.

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November 2013 3 P2

The production process should be continuous without extended stoppage periods. Thereduction in production time stated by the learning curve effect can only be achieved ifproduction occurs without significant breaks. A prolonged stoppage in production risks thelearning from previous units being lost and production time increasing back towards the time

for the first unit.

There should be a low turnover of production labour. A high number of production staffleaving the organisation will mean that new staff need to be employed. These new staffmembers will have no experience of the production at PWR and consequently take a longertime to produce units than more experienced PWR employees. The steady state productiontime per unit of Product Z will be achieved once all production staff have sufficient experienceto realise the learning effect.

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P2 4 November 2013

Answer to Question Two

RationaleThe question examines candidates’ knowledge and understanding of target costing.The learning outcome tested is B1(h), explain how target costs can be derived from target prices and the relationship between target costs and standard costs. 

Suggested ApproachIt was important for candidates to carefully read the question in order to calculate the cost ofproducing and delivering a Model S car. Part (a) required candidates to use the cost driverinformation in the notes to calculate both the production line and delivery cost for a Model Scar.In part (b) candidates should use the information in the question, for example highlighting thelimited production numbers of Model S and the importance of using target costing to achievethe required profit figures.

(a) (i)

Forecast cost $

Labour 5,000

Material 9,500

Overhead 791.75

Total cost 15,291.75

Workings$4,630,000 / 60,000 annual production line machine hours = $77.17 per machinehour

$77.17 x 6 machine hours for a Model S = $463

Transportation cost

60% delivery related = $1,080,000

40% distance travelled related = $720,000

$1,080,000 / 640 deliveries = $1,687.50 per delivery

$1,687.5 / 10 cars = $ 168.75 per car

$720,000 / 225,000km = $3.20 per km travelled

$3.20 x 50,000km = $160,000

$160,000 / 1,000 Model S cars = $160 per car

(ii)$

Target selling price 19,950

Profit margin 25%

Target cost 14,962.50

Forecast cost 15,291.75

Cost gap 329.25

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November 2013 5 P2

(b)

 A target costing approach for the Model S car has significant potential advantages forplanning and control at SXL. Model S is a special edition and production numbers will belimited. As such, it is important that revenues and costs are carefully planned to ensureModel S generates the required profit over its short production life.

Target costing is a market focussed approach that bases the target price on customerrequirements to achieve a specified level of demand. This market led and price drivenapproach offers a greater degree of accuracy in profit planning.

The majority of manufacturing cost for model S will be committed at the design stage. Adopting target costing enables cost reductions to be planned before costs are committedwhilst ensuring the product still fits the requirements of the customer.

The team based approach to target costing requires staff from all departments at SXLinvolved in the Model S project to input into the process to close the cost gap. Cost savingsare sought in the production of Model S together with transportation efficiency savings in theachievement of the target cost.

Examiner’s Note: candidates were required to explain only two advantages.

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P2 6 November 2013

Answer to Question Three

RationaleThe question examines candidates’ knowledge and understanding of Kaizen costing andTotal Quality Management principles when set in a food production environment.The learning outcome tested is B1(c) explain the concepts of continuous improvement andKaizen costing that are central to total quality management. 

Suggested ApproachPart (a) required the explanation of two concepts of Kaizen costing and did not requirecandidates to relate their answers to the scenario in the question.

Part (b) needed candidates to carefully read through the scenario in order to identify theconditions that must exist for TQM to be successfully implemented at HRS. Citing generic

conditions without relevance to the situation described at HRS would earn only limited marks.

(a)

Kaizen costing is a system of cost reduction based upon attaining incremental cost reductionsby making small changes in the product or the method of operations.

Kaizen costing is a system of cost reduction rather than cost control. Kaizen goals are oftenupdated monthly and targets set based on achievement of a cost reduction.

Kaizen costing is based on the assumption that the manufacturing process is always able toimprove. Perfection is never achieved and the organisation should continually seek to

improve its processes and production conditions.

Examiner’s Note: only two concepts are required by the question.

(b)

In order for Total Quality Management to be successfully implemented at HRS, the wholeorganisation must adopt a quality culture. This includes the managing director of HRS. It isimperative that the managing director adopts and espouses the principles of Total QualityManagement as the company’s ethos will dictate to what extent the philosophy is committedto by the employees of HRS.

HRS must get much closer to its customers. HRS’s supermarket customers have reducedtheir purchases as consumer tastes have changed. HRS must foster and deepen itsrelationship with supermarkets to understand the customer requirements.

HRS should seek continuous improvement in its production, processes and employees.Production techniques have remained largely unchanged at HRS and production is limited toone type of product. HRS must aim to meet the quality requirements of its customers and notbe satisfied with current production techniques.

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November 2013 7 P2

Answer to Question Four

RationaleThe question examines candidates’ knowledge and understanding of “what if” scenarios andthe use of spreadsheets in facilitating these analyses.

The learning outcome tested is C2(b) evaluate the consequences of “what if” scenarios andtheir impact on the master budget. 

Suggested ApproachPart (a) required candidates to read the question carefully to understand the method tocalculate gross profit. A clear layout and methodical approach to calculations were requiredto ensure all information in the scenario was incorporated.

Part (b) required an explanation of potential advantages and disadvantages of the use ofspreadsheets in developing forecast scenarios. The wording of the requirement should benoted as it was the advantages and disadvantages of the use of spreadsheets that wasrequired and not answers focussing on advantages and disadvantages of developing thescenarios.

(a)

High scenario Product LTotal average balance $1,683mCustomer lending rate 8.80%

Lending income $148.104m

Funding rate 4.15%

Funding cost $69.845m

Gross profit $78.260m

Low scenario Product L

Total average balance $1,237.5mCustomer lending rate(7.9%*0.4+5.9%*0.6) 6.70%

Lending income $82.913m

Funding rate 4.55%

Funding cost $56.306m

Gross profit $26.607m

(b)

Scenario analysis using spreadsheets offers users a high degree of flexibility. By splitting thespreadsheet into input, processing and output areas, assumptions can be managed and heldseparately. This functionality is useful in CHX as a number of key assumptions in the highand low scenarios differ from those in the base case, and the spreadsheet allows their effectto be measured easily.

The flexible nature of the spreadsheet also allows different scenarios to be readily developed.The spreadsheet used for the base scenario can be used to develop high and low scenariosas the processing and output areas and the lending income and cost calculations for CHX,will stay the same and only assumptions in the input area will change.

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P2 8 November 2013

However, inaccuracies are potentially difficult to detect in spreadsheets. A developer enteringcomplex formulae into the spreadsheet could make a mistake. As the error in the formula isheld in the processing area of the spreadsheet it may not be detected by other users and gounnoticed. The implications of inaccuracies in forecast scenarios are obviously significant for

THX, a bank that is part owned by the government.

Answer to Question Five

RationaleThe question examines candidates’ knowledge and understanding of pricing based on profitmaximisation in imperfect markets and the use of rolling budgets.

The learning outcomes tested are:Part (a) A3(a) apply an approach to pricing based on profit maximisation in imperfect

markets.

Part (b) C3(d) discuss the criticisms of budgeting, particularly from the advocates of ‘beyondbudgeting’ techniques. 

Suggested ApproachPart (a) required candidates to use the relevant formulae to calculate the price at which profitwould be maximised. Candidates should note the requirement to ‘calculate the revenue’ anduse the profit maximising price and associated demand to calculate the total revenue.

Part (b) required a discussion of the use of rolling budgets in the planning and managementcontrol process at HIJ. This required candidates to discuss advantages and disadvantages of

the budgeting approach at HIJ. The frequent changes in the perfume market should havebeen noted and linked to the advantage of rolling budgets in these specific circumstances.

(a)

To calculate the marginal revenue function the demand function must first be established.

P = a – bx

b = 3 / 10,000 = 0.0003

45 = a - 0.0003*125,000. Therefore, a = 82.50

P = 82.50 – 0.0003x

MR = a – 2bx, MR = 82.50 – 2*0.0003x

Profit is maximised when MR = MC

MC = $21

21 = 82.50 – 2*0.0003x. Therefore x = 102,500

Substitute the value of x into the demand function to get price

82.50 – 0.0003*102,500 = $51.75

Revenue = $51.75 * 102,500 = $5,304,375

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November 2013 9 P2

(b)

Rolling budgets are updated each period, usually a month, adding a further month on to theend of the forecast period, usually one year, when the current month has expired. Rollingbudgets in HIJ will mean that the frequent changes in the perfume market can be reflected inthe company’s financial plans. This results in performance management against moremeaningful budgets and management able to take better-informed decisions.

However, rolling budgets are time-consuming to prepare. Rather than preparing a fixedbudget once for use throughout the following year, a rolling budget is revised each month withan additional month added to the forecast period once the current one has elapsed. Thebudget process will require a significant amount of administration and input from finance andother department staff.

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P2 10 November 2013

SECTION B 

Answer to Question Six

RationaleThe question examines candidates’ knowledge and understanding of pricing strategies and ofrelevant costing in the production of a minimum price quotation.

The learning outcomes tested are: Part (a) A1(a), discuss the principles of decision-making including the identification ofrelevant cash flows and their use alongside non-quantifiable factors in making rounded judgements.

Part (b) A1(c), discuss the particular issues that arise in pricing decisions and the conflict

between ‘marginal cost’ principles and the need for full recovery of all costs incurred.

Part (c) A3(b), discuss the financial consequences of alternative pricing strategies. 

Suggested ApproachPart (a)Carefully read the question to understand the relevant cost impact of each item ofinformation. For each item, 1 to 9, candidates were required to show the relevant cost alongwith an explanation of their treatment of the costs. A clear layout and full explanation of costtreatment were required.

Part (b)

Candidates needed to explain two reasons why relevant costing may not be a suitableapproach to pricing houses in the longer term and relate their explanation to the scenario.

Part (c)Justified recommendations were required. The recommendation must be specific andrelevance to the innovative environmentally friendly houses produced by DLW explained.Explanations of unrelated pricing strategies would not earn marks.

(a)

$ NoteFood and drink at meeting - 1Material Z 78,000 2Construction workers - 3Engineers 4,485 4Specialist machine 15,250 5Windows 1,500 6Other materials 6,000 7Fixed overhead - 8Profit margin - 9Total relevant cost 105,235

Notes

1) The food and drink costs are sunk. The meeting with the client has already occurred andtherefore the costs not relevant.

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November 2013 11 P2

2) Material Z is regularly used by DLW. The 550kg currently in inventory will need to bereplaced and therefore should be valued at replacement cost. $65 x 550kg = $35,750The remaining 650kg required for the contract is not owned by DLW and therefore will need tobe purchased at the replacement cost. $65 x 650 = $42,250.

Total relevant cost $78,000

3) The construction workers have spare capacity to complete the work and are employed undera guaranteed wage agreement. Construction workers will be paid whether or not they workon the contract; therefore the cost is not relevant.

4) Engineers are salaried and this is not an incremental cost. However, they are currently at fullcapacity and do not have time within their normal hours to complete the 90 of hours workrequired. The engineers’ additional time should be valued at opportunity cost.If overtime is paid, the cost would be 90 hours x $52 = $4,680

 Alternatively, switching engineers from their existing job:

90 hours / 30 hours to produce a unit = 3 units valued at contribution per unit $1,495 =$4,485.

The lower cost of the two options is $4,485 and this is the relevant cost.

5) The first rental period is part way through and the payment of $15,000 has already beenmade. Therefore, this is a sunk cost and not relevant. In order to obtain the machine for therequired seven week period another 15 week standard rental agreement would have to beentered into, therefore the relevant cost is $15,250.

If the machine was to be purchased, the relevant cost would be $20,000 (sales price lessresale value). The lower relevant cost of the two options is to rent the machine for anotherrental period, $15,250.

6) The cost to produce the windows has already been incurred and is therefore sunk and notrelevant.

If DLW use the windows for the build and miss the conference the sales will not be lost. Thechief executive will visit the clients at a later date to secure the sales; therefore there is noincremental loss in contribution. The chief executive’s time is not relevant as he is paid anannual salary and would receive this irrespective of the visit to the clients.

However, should the windows be used for the build, DLW would not be able to attend theconference and be liable to pay the non-attendance fee of $1,500.

Total relevant cost $1,500

7) 400kg of other materials are required for the house build. The incremental cost is $6,000.

8) Fixed costs are not relevant as they will be incurred irrespective of whether the contract istaken or not.

9) Profit mark-up is not relevant as DLW is producing a minimum price quotation to exactly coverthe relevant cost.

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November 2013 13 P2

Answer to Question Seven

RationaleThe question examines candidates’ knowledge and understanding of transfer pricing togetherwith financial and non-financial divisional performance measures.

The learning outcomes tested are:Part (a) & (c) D3(b), discuss the typical consequences of a divisional structure for performance measurement as divisions compete or trade with each other. 

Part (b) D2(c) discuss alternative measures of performance for responsibility centres. 

Part (d) D3(a) discuss the likely behavioural consequences of the use of performance metricsin managing cost, profit and investment centres.

Part (e) C3(b) discuss the role of non-financial performance indicators. 

Suggested ApproachFor parts (a) and (c), candidates needed to carefully read and understand the data providedand assemble the figures to show the profitability of two divisions, with Division C supplying toDivision D.

Part (b): candidates needed to carefully read the information in the question and use theappropriate figures to calculate the required performance measures

Part (d): a target ROI of 25% was required. Candidates needed to use their knowledge of theROI formula to substitute in known values to arrive at a required revenue figure. The value of

the external sales could then be taken from this figure to leave the required value of theinternal sales.

Part (e) required an explanation of TWO non-financial measures that could also be used tomonitor the performance of the manager of Division D against the objectives of CD company.

 A number of non-financial measures could have been suggested, but candidates needed toread the requirement carefully and explain the relevance of their chosen measure to theobjectives of CD company.

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P2 14 November 2013

(a)C D Working

Sales

$ $

Internal 2,400,000 1

External 2,600,000 10,000,000 2

5,000,000 10,000,000

Variable costs

Cans

Internal 2,400,000 3

External 1,600,000 4

Other variable 0 3,000,000 5

Fixed costs 2,400,000 1,750,000

Profit 1,000,000 2,850,000

Workings

1) Transfer price: $0.04 + ($2,400,000 / $40,000,000) = $0.10 * 1.2 = $0.12

Internal transfers 20,000,000 cans at $0.122) External sales by division C 20,000,000 cans at $0.13

External sales by division D 20,000,000 canned drinks at $0.50

3) As per Division C internal sales revenue

4) Division C variable cost 40,000,000 cans at $0.04

5) Division D variable cost 20,000,000 canned drinks at $0.15

(b)C D

ROI $1,000,000/$4,000,000 =

25%

$2,850,000/$12,650,000 =

23%RI $1,000,000 – ($4,000,000x 7%) = $720,000

$2,850,000 – ($12,650,000 x7%) = $1,964,500

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November 2013 15 P2

(c)C D Working

Sales

$ $

Internal 1,520,000 1

External 3,900,000 10,000,000 2

5,420,000 10,000,000

Variable costs

Cans

Internal 1,520,000 3

External 2,000,000 4

Other variable 0 3,000,000 5

Fixed costs 2,400,000 1,750,000

Profit 1,020,000 3,730,000

Workings

1) 8,000,000 cans at $0.13 opportunity cost

12,000,000 cans at $0.04 variable cost

2) 30,000,000 cans at $0.13

20,000,000 canned drinks at $0.50

3) As per Division C internal sales revenue

4) 50,000,000 cans at $0.04

5) 20,000,000 canned drinks at $0.15

(d)

ROI = profit / net assets.

Target ROI required is 25%.

25% = profit / 4,500,000, rearranging the formula gives profit = $1,125,000

Profit = Contribution – fixed costs, here fixed costs = $2,400,000. Therefore:

Contribution = $1,125,000 + $2,400,000 = $3,525,000

Contribution = revenue – variable cost. Here variable cost = $2,000,000. Therefore:

Revenue = $5,525,000

Revenue = Internal sales + external sales. External sales = 30,000,000 * $0.13. Therefore:

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P2 16 November 2013

Internal sales required = $1,625,000

20,000,000 internal sales. Transfer price should be set at a minimum of $0.08

Alternative solutionProfit requirement: 25% * (4,000,000 + 500,000) = $1,125,000

Therefore, additional $1,125,000 – $1,020,000 = $105,000 profit required

Total transfer price: $1,520,000 + $105,000 = $1,625,000

20,000,000 internal sales. Transfer price should be set at a minimum of $0.08

(e)

Brand awareness percentage. One of CD’s stated objectives is to grow its businessinternationally. A measure of CD’s presence in the other countries is brand awareness byconsumers. A high brand awareness by consumers could be a lead indicator of increasingsales revenues.

Taste test results from comparison with main competitors. CD aims to grow its brandbased on the distinctive taste of its product. A key indicator of potential future success is themeasure of consumer preference.

 A sample of consumers could be offered the CD soft drink along with that of a competitor.The proportion of sampled consumers selecting the CD soft drink in the taste tests could thenmeasure consumer preference. If consumers favour the taste of the CD drink overcompetitors, potentially sales revenue will increase as consumers make CD’s product their

soft drink of choice.

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO

 The Chartered Institute of Management Accountants 2013

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

20 November 2013 – Wednesday Afternoon Session 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 6.

Section B comprises 2 questions and is on pages 8 to 11.

Maths tables and formulae are provided on pages 13 to 16.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 November 2013

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

PWR is a manufacturing company that is about to launch a new product: Product Z. Details ofthe variable costs incurred in producing one unit of Product Z are as follows:

Labour $25 per hour

Materials $52 per unit

Variable overheads $5 per labour hour

Learning curveProduct Z is produced in batches of 10 units. The first batch of 10 units is expected to take15 labour hours. There will be 95% learning curve that will continue until 64 batches havebeen produced.

Note: The learning index for a 95% learning curve = -0.074

Required:

(a)

(i) Calculate the time required to produce the 64th batch of Product Z.

(3 marks )  

(ii) Calculate the total variable cost of the 64th batch of Product Z.

(2 marks )  

(b) Explain THREE conditions that must exist in the production process of

Product Z for the learning curve effect to be realised.(5 marks )  

(Total for Question On e = 10 marks)

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November 2013 3 Performance Management

Question Two

SXL is a specialist car manufacturer that produces various models of car. The organisation isdue to celebrate its 100

th anniversary next year. To mark the occasion, SXL intends to

produce a sports car; the Model S. As this will be a special edition, production will be limitedto 1,000 Model S cars.

SXL is considering using a target costing approach and has conducted market research todetermine the features that consumers require in a sports car. Based on this market researchand knowledge of competitors’ products, SXL has decided to price the Model S at $19,950.SXL requires an operating profit margin of 25% of the selling price of the car. Details for theforthcoming year are as follows:

Forecast direct costs for a Model S car  

Labour $5,000Material $9,500

Forecast annual overhead costs$ Cost driver

Production line cost  4,630,000  See note 1 Transportation costs  1,800,000  See note 2 

Note 1The production line that would be used for Model S has a capacity of 60,000 machine hoursper year. The production line time required for Model S is 6 machine hours per car. Thisproduction line will also be used to make other cars and will be working at full capacity.

Note 2Some models of cars are delivered to showrooms using car transporters. 60% of thetransportation costs are related to the number of deliveries made. 40% of the transportationcosts are related to the distance travelled.

The car transporters are forecast to make a total of 640 deliveries in the year and carry 10cars each time. The car transporter will always carry its maximum capacity of 10 cars.

The total annual distance travelled by car transporters is expected to be 225,000km.50,000km of this is for the delivery of Model S cars only. All 1,000 Model S cars that will beproduced will be delivered in the year using the car transporters.

Required:

(a)

(i) Calculate the forecast total cost of producing and delivering a Model S car

using activity based costing principles to assign the overhead costs.

(4 marks)

(ii) Calculate the value of any cost gap that currently exists between the forecasttotal cost and the target total cost of a Model S car.

(2 marks)

(b) Explain TWO potential advantages to SXL of using target costing for theModel S car.

(4 marks )  (Total for Questio n Two = 10 marks)

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Performance Management 4 November 2013

Question Three

HRS is a food producer that makes low cost processed food that it sells to supermarkets.HRS produces only one type of processed food product and production techniques haveremained largely unchanged for a number of years.

Over recent months, sales have been falling steadily. Consumer tastes are changing tofavour natural ingredients and supermarkets have reflected this in the products that they offerfor sale.

HRS is keen to address the decline in sales and recently held a meeting to discuss theperformance of the organisation. The Management Accountant suggested to the ManagingDirector that the performance of HRS could be improved by implementing Total QualityManagement (TQM) principles and adopting Kaizen costing concepts. Currently the controlsystems of HRS focus on material price and usage.

The Managing Director is sceptical of the Management Accountant’s suggestions and isunclear as to whether they are suitable for the company.

Required:

(a) Explain TWO concepts of Kaizen costing.(4 marks )  

(b) Explain THREE conditions that must exist for TQM to be successfullyimplemented at HRS.

(6 marks )  

(Total for Qu estion Three = 10 marks)

Section A continues on the opposite page

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November 2013 5 Performance Management

Question Four

CHX is a retail bank. The lending division within CHX sells a loan product, Product L.

CHX is part owned by the Government and is required by the Government to produce ‘Low’and ‘High’ gross profit forecast scenarios each year for comparison against actualperformance.

Gross profit is calculated as:

Total lending income less total funding cost 

Total lending income = total average balance multiplied by customer lending rate

Total funding cost = total average balance multiplied by funding rate

In order to calculate the total average balance for the ‘Low’ and ‘High’ forecast scenarios,CHX uses its actual total average balance from the previous year as a starting point.

Product LPrevious year actual total average balance $1,650m

‘High’ scenario assumptionsTotal average balance (movement on previous year’s actual) +2%Customer lending rate 8.8%Funding rate 4.15%

‘Low’ scenario assumptionsTotal average balance (movement on previous year’s actual)  -25%Customer lending rate See noteFunding rate  4.55%

Note:  It is expected that during the year it will be necessary to lower the customer lendingrate in order to compete with other banks. Therefore it is expected, that under the ‘Low’

scenario, that the customer lending rate will be 7.90% on 40% of the total average balanceand 5.90% on the remainder of the total average balance.

Required:

(a) Produce calculations to determine the forecast gross profit for Product L,under both the ‘Low’ forecast scenario and the ‘High’ forecast scenario. 

(6 marks )  

(b) Explain the potential advantages and disadvantages of the use ofspreadsheets by CHX in developing forecast scenarios. 

(4 marks )  

(Total for Questio n Four = 10 marks)

Section A continues on the next pageTURN OVER

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Performance Management 6 November 2013

Question Five

HIJ is a cosmetics company that produces perfume. The perfume market is very competitiveand subject to frequent changes.

The finance team at HIJ prepare monthly rolling budgets as part of their planning andmanagement control process.

The data for the forthcoming new budget period are as follows:

The variable cost of producing a bottle of perfume is $21.

The planned selling price of a bottle of perfume is $45 and at this selling price the demandfor perfume is expected to be 125,000 bottles. Information from the marketing division atHIJ suggests that for every $3 increase in the selling price the customer demand wouldreduce by 10,000 bottles, and that for every $3 decrease in the selling price the customerdemand would increase by 10,000 bottles.

Note: If P = a - bx then MR = a - 2bx

Required:

(a) Calculate the revenue that HIJ would earn if the selling price of a bottle ofperfume was set so that profits would be maximised for the forthcomingbudget period.

(6 marks )  

(b) Discuss the use of rolling budgets in the planning and managementcontrol process at HIJ.

(4 marks)

(Total for Question Five = 10 marks )

(Total for Section A = 50 marks)

End of Section ASection B starts on page 8

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November 2013 7 Performance Management

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Performance Management 8 November 2013

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

DLW is a company that builds innovative, environmentally friendly housing. DLW’s housesuse high quality materials and the unique patented energy saving technology used in thehouses has been the result of the company’s own extensive research in the area.

DLW is planning to expand into another country and has been asked by a prominent personin that country for a price quotation to build them a house. The Board of Directors believesthat securing the contract will help to launch their houses in the country and have agreed to

quote a price for the house that will exactly cover its relevant cost.

The following information has been obtained in relation to the contract:

1. The Chief Executive and Marketing Director recently met with the potential client todiscuss the house. The meeting was held at a restaurant and DLW provided food anddrinks at a cost of $375.

2. 1,200 kg of Material Z will be required for the house. DLW currently has 550 kg ofMaterial Z in its inventory purchased at a price of $58 per kg. Material Z is regularlyused by DLW in its houses and has a current replacement cost of $65 per kg. Theresale value of the Material Z in inventory is $35 per kg.

3. 400 hours of construction worker time are required to build the house. DLW’sconstruction workers are paid an hourly rate of $22 under a guaranteed wageagreement and currently have spare capacity to build the house.

4. The house will require 90 hours of engineer time. DLW engineers are paid a monthlysalary of $4,750 each and do not have any spare capacity. In order to meet theengineering requirement for the house, DLW can choose one of two options:

(i) Pay the engineers an overtime rate of $52 per hour to perform the additional work.

(ii) Reduce the number of engineers’ hours available for their existing job, the building ofProduct Y. This would result in lost sales of Product Y.

Summary details of the existing job the engineers are working on:

Information for one unit of Product YSales revenue $4,860

Variable costs $3,365

Engineers’ time required per unit 30 hours

5. A specialist machine would be required for 7 weeks for the house build. DLW have 4weeks remaining on the 15 week specialist machine rental contract that cost $15,000.The machine is currently not in use. The machine can be rented for an additional 15weeks at a cost of $15,250. The specialist machine can only be rented in blocks of 15weeks.

 Alternatively, a machine can be purchased for $160,000 and sold after the work on thehouse has been completed for $140,000.

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November 2013 9 Performance Management

6. The windows required for the house have recently been developed by DLW and usethe latest environmentally friendly insulating material. DLW produced the windows at acost of $34,950 and they are currently the only ones of their type. DLW were planningto exhibit the windows at a house building conference. The windows would only beused for display purposes at the conference and would not be for sale to prospectiveclients.

DLW has had assurances from three separate clients that they would place an order for25 windows each if they saw the technology demonstrated at the conference. Thecontribution from each window is $10,450. If the windows are used for the contract,DLW would not be able to attend the conference. The conference organisers willcharge a penalty fee of $1,500 for non-attendance by DLW. The Chief Executive ofDLW can meet the clients directly and still secure the orders for the windows. Themeetings would require two days of the Chief Executive’s time. The Chief Executive ispaid an annual salary of $414,000 and contracted to work 260 days per year.

7. The house build requires 400kg of other materials. DLW currently has none of thesematerials in its inventory. The total current purchase price for these other materials is$6,000.

8. DLW’s fixed overhead absorption rate is $37 per construction worker hour.

9. DLW’s normal policy is to add a 12% mark-up to the cost of each house.

Required:

(a) Produce a schedule that shows the minimum price that could be quotedfor the contract to build the house.

Your schedule should show the relevant cost of each of the nine itemsidentified above. You should also explain each relevant cost value youhave included in your schedule and why any values you have excluded

are not relevant. (17 marks)

(b) Explain TWO reasons why relevant costing may not be a suitableapproach to pricing houses in the longer term for DLW. 

(4 marks )  

(c) Recommend, with justifications, a pricing strategy for DLW to use to pricethe innovative, environmentally friendly houses when they are launched inthe new country.

(4 marks)

(Total for Question Six = 25 marks)

Section B continues on the next page 

TURN OVER

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Performance Management 10 November 2013

Question Seven

CD is a producer of soft drinks. The company has two divisions: Division C and Division D.

Division C manufactures metal cans that are sold to Division D and also to externalcustomers. Division D produces soft drinks and sells them to external customers in the cans

that it obtains from Division C.CD is a relatively new company. Its objective is to grow internationally and challenge theexisting global soft drinks producers. CD aims to build its brand based on the distinct taste ofits soft drinks.

Division C annual budget information $Market selling price per 1,000 cans 130Variable costs per can 0.04Fixed costs 2,400,000Net assets 4,000,000

Production capacity 40,000,000 cans

External demand for cans 38,000,000 cansDemand from Division D 20,000,000 cans

Division D annual budget information $Selling price per canned soft drink 0.50Variable costs per canned soft drink (excluding the can) 0.15Cost of a can (from Division C) At transfer priceFixed costs 1,750,000Net assets 12,650,000

Sales volume 20,000,000 canned soft drinks

Transfer Pricing PolicyDivision C is required to satisfy the demand of Division D before selling cans externally.The transfer price for a can is full cost plus 20%.

Performance Management TargetsDivisional performance is assessed on Return on Investment (ROI) and Residual Income (RI).Divisional managers are awarded a bonus if they achieve the annual ROI target of 25%.CD has a cost of capital of 7%.

Required:

(a) Produce a profit statement for each division detailing sales and costs,showing external sales and inter-divisional transfers separately whereappropriate.

(6 marks)

(b) Calculate both the ROI and the RI for Division C and Division D.

(4 marks)

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November 2013 11 Performance Management

The directors of CD are concerned about the future performance of the company and,together with the divisional managers, have now agreed the following:

•  A machine that would increase annual production capacity to 50,000,000 cans at DivisionC will be purchased. The purchase of this machine will increase the net assets ofDivision C by $500,000. Assume that there is no impact on unit variable costs or fixed

costs resulting from this purchase.

•  Inter-divisional transfers will be priced at opportunity cost.

Required:

(c) Produce a revised profit statement for each division detailing sales andcosts, showing external sales and inter-divisional transfers separatelywhere appropriate.

(6 marks)

It has now been decided that inter-divisional transfers are not required to bepriced at opportunity cost.

(d) Calculate the minimum transfer price per can that Division C could chargefor the 20 million cans required by Division D in order for Division C toachieve the target ROI.

(5 marks)

(e) Explain TWO non-financial measures that could also be used to monitorthe performance of the manager of Division D against the objectives of CD

company.

(4 marks)

(Total for Question Seven = 25 marks )  

(Total for Sectio n B = 50 marks )

End of question paper  Maths tables and formulae are on pages 13 to 16

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Performance Management 12 November 2013

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November 2013 13 Performance Management

PRESENT VALUE TABLE 

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 14 November 2013

CUMULATIVE PRESENT VALUE TABLE

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n yearsr 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103

14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.6058 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031

10 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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November 2013 15 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of MultiplicationIf A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 16 November 2013

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

PerpetuityPresent value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output; X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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November 2013 17 Performance Management

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Performance Management 18 November 2013

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November 2013 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

between

Construct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 November 2013

Performance Pillar

Management Level Paper

P2 – Performance Management

November 2013

Wednesday Afternoon Session 

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

 The Chartered Institute of Management Accountants 2014

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

Wednesday 26 February 2014 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 7.

Section B comprises 2 questions and is on pages 8 to 11.

Maths tables and formulae are provided on pages 13 to 16.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 March 2014

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

WTI is planning to launch a new component. Production volume will be limited, with only 128components to be produced in total.

WTI expects the manufacture of the first component to take 25 direct labour hours. It isanticipated there will be a 90% learning curve that will continue until all 128 components havebeen produced. Direct labour is paid at a rate of $15 per hour.

Non labour-related costs are expected to be $265 per component; this will apply to all 128components produced. There are no product-specific fixed costs associated with this newcomponent.

WTI is going to use a target costing approach for the new component. Based on the marketresearch it has undertaken, WTI plans to sell the components for $530 each. WTI requires anaverage profit margin of 20% of the selling price over the life of this new component.

Note: The learning index for a 90% learning curve = -0.152

Required:

(a) Calculate the time required to produce the 128th component.(3 marks )  

(b) Calculate the value of any cost gap between the target cost of 128components in total and the expected cost of 128 components in total.

(3 marks )  

(c) Calculate the rate of learning required to close the cost gap youcalculated in part (b) in order to achieve the required profit margin of 20%.

(4 marks )  

(Total for Qu estion On e = 10 marks )

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March 2014 3 Performance Management

Question Two

PB is a car production company. PB uses a system of standard costing to set its budgets.Budgets are set annually by the Finance department and approved by the Board of Directorsof PB. The Finance department prepares variance reports each month for review at theBoard of Directors meeting, where actual performance is monitored by comparison to

budgeted figures.

 A new Finance Director has recently joined PB from a competitor organisation where therewas a Total Quality Management culture. The new Finance Director of PB is keen to discussthe implementation of Kaizen costing at the next meeting of the Board of Directors. The newFinance Director would like to review the current planning and control system at PB with aview to making changes so that it could support Kaizen costing concepts.

Required:

(a) Explain TWO basic principles of Total Quality Management. 

(4 marks)

(b) Explain THREE changes required to PB’s planning and control system tosupport the adoption of Kaizen costing concepts. 

(6 marks)

(Total for Questio n Two = 10 marks)

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Performance Management 4 March 2014

Question Three

 APZ has recently opened a fast-food restaurant in a small town. Fast-food restaurants arecharacterised by their quick food service.

The fast-food restaurant market in the town is dominated by a small number of longestablished restaurants. APZ is seeking to grow its business and attract the town’s residentswith its burger meals.

The performance report for the first month of business is to be presented at the restaurant’smonthly management meeting.

 A draft of the performance report for the first month of business is reproduced below:

Budget Actual VarianceSales (number of meals) 6,000 5,400 (600)

$ $ $Revenue 45,000 40,365 (4,635)Variable costs 26,400 24,632 1,768

Fixed costs 5,250 4,950 300Profit 13,350 10,783 (2,567)

The management accountant at APZ has realised that the size of the fast-food market thatwas used to derive the budget number of meals to be sold has been over-estimated. Themanagement accountant has calculated the value of the sales volume contribution planningvariance to be $2,480 adverse.

Required:

(a)

(i) Prepare a revised budget based on the new estimate of the market.

(3 marks)

(ii) Prepare a performance report for the month based on a flexed budget.

(3 marks)

(b) Explain TWO non-financial measures that APZ could use to monitor theperformance of the new fast-food restaurant. 

(4 marks)

(Total for Question Three = 10 marks)

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March 2014 5 Performance Management

Question Four

SAF is about to launch a new model of smart phone, Product Z. Product Z is the company’sfirst smart phone and features unique technology developed by SAF. SAF expects theunique technology and exclusive design to attract both new and existing SAF customers.

Given the unique nature of this smart phone, SAF has no experience of the price demandrelationship of this product. However, based on experience from previous products, it expectsthat during the product’s introductory phase, at a selling price of $200, the demand would be20,000 units per month. For every $32.50 increase in selling price the monthly demand wouldreduce by 2,500 units, and for every $32.50 decrease in selling price the monthly demandwould increase by 2,500 units.

The variable costs of production for one unit of Product Z are as follows:

Direct materials $85

Direct labour $56

Variable overhead $20

SAF is planning an advertising campaign during the introductory phase of product Z. Thetotal cost of the advertising campaign is yet to be finalised with the advertising agency.However, after deducting the cost of this advertising, the Managing Director requires aminimum profit of $2,500,000 for the introductory phase.

Note: the introductory phase of Product Z is expected to have a duration of three months.

There are no other specific fixed costs associated with Product Z.

Required:

(a) Calculate the maximum cost of the advertising campaign in order to

achieve the Managing Director’s profit requirement for the introductoryphase of Product Z.

Note: The company will set the price for a unit of Product Z to maximiseprofit during the introductory phase.

If P = a - bx then MR = a - 2bx(6 marks)

(b) Explain TWO reasons why it may not be appropriate to set theintroductory price of Product Z using the assumptions contained in theprofit-maximisation model you used in part (a). 

(4 marks )  

(Total for Questio n Four = 10 marks)

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Performance Management 6 March 2014

Required:

(a) Prepare calculations to show whether the manager of Health Club E isexpected to receive the bonus in Quarter 4 based on the forecastperformance.

Note: you should calculate operating profit margin, ROCE and asset turnoverfor Quarter 4.

(6 marks)

Question Five

TES operates a chain of health clubs in its home country. Managers at health clubs receive aquarterly bonus if their health club achieves or exceeds ALL of the following financial targets:

ROCE 8% (based on net assets) Asset turnover 40%Operating profit margin 

20%

Summary actual performance for Quarter 3 of the current year for Health Club E is detailedbelow:

Quarter 3Revenue $36,000Staff costs $12,000Other fixed costs $22,000Net assets $110,000Number of customers 600

The quarterly financial targets are set by the head office finance team and all health clubs aregiven the same target. TES is currently forecasting the performance of its health clubs inQuarter 4.

TES will use the following information to forecast the performance of each of its health clubsin Quarter 4:

•  The average revenue per customer will increase by 10% on Quarter 3.

•  Customer numbers will increase by 5% on Quarter 3.

•  Staff costs and net assets are expected to remain at the same level as Quarter 3.

•  Other fixed costs are expected to decrease by 5% on Quarter 3.

•  Staff and other costs are fixed (they are not related to the number of customers).

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March 2014 7 Performance Management

The manager of Health Club E is dissatisfied with the quarterly bonus system and does notperceive it to be fair. The manager argues that the financial targets are based on a nationalview of all TES health clubs and do not take account of specific local circumstances. Forexample, Health Club E is located in a less affluent area of the country. The manager ofHealth Club E would like to see participation from health club managers in the development ofquarterly financial targets.

(b)  Discuss the potential impact for TES of involving the health clubmanagers in the production of their quarterly financial targets.

(4 marks)

(Total for Question Five = 10 marks )

(Total for Section A = 50 marks)

End of Section A

Section B starts on page 8

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Performance Management 8 March 2014

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

GF is a company that manufactures clothes for the fashion industry. The fashion industry isfast moving and consumer demand can change quickly due to the emergence of new trends.

GF manufactures three items of clothing: the S, the T and the B using the same resources butin different amounts.

Budget information per unit is as follows:

S$

T$

B$

Selling price 250 40 100Direct materials ($20 per m

2) 100 10 30

Direct labour ($12 per hour) 36 12 27Variable overhead ($3 per machine hour) 9 3 6.75

Total fixed costs are $300,000 per month.

Included in the original budget constructed at the start of the year, was the sales demand forthe month of March as shown below:

S T BDemand in March (units) 2,000 6,000 4,000

 After the original budget had been constructed, items of clothing S, T and B have featured ina fashion magazine. As a result of this, a new customer (a fashion retailer), has ordered1,000 units each of S, T and B for delivery in March. The budgeted demand shown abovedoes not include this order from the new customer.

In March there will be limited resources available. Resources will be limited to:

Direct materials 14,500 m2 

Direct labour 30,000 hours

There will be no opening inventory of material, work in progress or finished goods in March.

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March 2014 9 Performance Management

Required:

(a) Produce a statement that shows the optimal production plan and theresulting profit or loss for March.

Note: you should assume that the new customer’s order must be suppliedin full.

(10 marks )  

(b) Explain TWO issues that should be considered before the productionplan, that you produced in part (a), is implemented.

(4 marks)

The Board of Directors have now addressed the shortage of key resources at GF to ensurethat production will meet demand in April. The production plan for the month of April isshown below:

S T BProduction (units) 4,000 5,000 4,000

Required:

(c) For April,

(i) Calculate the breakeven sales revenue for the given product mix in theproduction plan.

(4 marks )  

(ii) Calculate the margin of safety percentage.

(2 marks )  

(iii) Explain THREE limitations of breakeven analysis for GF.(5 marks)

(Total for Question Six = 25 marks )

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Performance Management 10 March 2014

Question Seven

SBA is a company that produces televisions and components for televisions. The companyhas two divisions, Division S and Division B.

Division S manufactures components for televisions. Division S sells components to division

B and to external customers. Division B uses five of the components in each of thetelevisions that it manufactures, and sells televisions directly to external customers.

Division SBudgeted variable manufacturing cost per component: $Direct material 14Direct labour 18Variable overhead 12

The following information relating to next year is also available:

Fixed costs $560,000Production capacity 175,000 components

External demand 150,000 componentsPotential demand from Division B 80,000 componentsThe anticipated external market price for a component is $50.

Division B $Sales price  450Budgeted variable manufacturing cost per televisionDirect material 40Direct labour 62Variable overhead 16

In addition to the variable costs above, each television produced needs five components

Fixed costs are budgeted to be $1,460,000 for next year. Annual sales of televisions areexpected to be 16,000 units.

Transfer Pricing Policy

Transfer prices are set at opportunity cost.

Division S must satisfy the demand of Division B before selling components externally.

Division B is allowed to purchase components from Division S or from external suppliers.

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March 2014 11 Performance Management

Required:

(a)  Assuming that Division B buys all the components it requires fromDivision S:

Produce a profit statement for each division detailing sales and costs,showing external sales and internal company transfers separately whereappropriate.

(7 marks)

(b)  A specialist external supplier has approached Division B and offered tosupply 80,000 components at a price of $42 each. The components fulfilthe same function as those manufactured by Division S. The manager ofDivision B has accepted the offer and has agreed to buy all thecomponents it requires from this supplier. 

(i) Produce a revised profit statement for each division and for the total SBAcompany.

(6 marks)

Division S has just received an enquiry from a new customer for the productionof 25,000 components. The manager of Division S requires a total profit for theyear for the division of $450,000.

(ii) Calculate the minimum price per component to sell the 25,000components to the new customer that would enable the manager ofDivision S to meet the profit target.

Note: this order will have no effect on the divisional fixed costs and noimpact on the 150,000 components Division S sells to its existing externalcustomers at $50 per component. Division B will continue to purchase the80,000 components it requires from the specialist external supplier.

(4 marks)

(c)  Discuss the potential implications for SBA of outsourcing the productionof one type of component that it manufactures.

(8 marks)

(Total for Questio n Seven = 25 marks )  

(Total for Sectio n B = 50 marks )

End of question paper  Maths tables and formulae are on pages 13 to 16

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Performance Management 12 March 2014

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March 2014 13 Performance Management

PRESENT VALUE TABLE 

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 14 March 2014

CUMULATIVE PRESENT VALUE TABLE

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n years r 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103

14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.6058 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031

10 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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March 2014 15 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of MultiplicationIf A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive Model Series = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 16 March 2014

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

PerpetuityPresent value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output;

 X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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March 2014 17 Performance Management

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Performance Management 18 March 2014

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March 2014 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb.  

LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

considerationIllustrate Use an example to describe or explain

something

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail ofwhat you have learned.  AnalyseCategorise Examine in detail the structure ofPlace into a defined class or division

Compare and contrast Show the similarities and/or differences

between

Construct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 March 2014

Performance Pillar

Management Level Paper

P2 – Performance Management

March 2014

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 The Chartered Institute of Management Accountants 2014

Management Level Paper

P2 – Performance ManagementMarch 2014 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early April atwww.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

RationaleThe question examines candidates’ knowledge and understanding of the learning curve.

The learning outcomes tested are:B1(e) apply learning curves to estimate time and cost for new products and services.

B1(h) explain how target costs can be derived from target prices and the relationshipbetween target costs and standard costs. 

Suggested ApproachCandidates needed to carefully read the information in the question. Part (a) requiredcandidates to calculate the time required to produce the 128th

 component.

In part (b) candidates were required to calculate target and expected costs for all 128components, to be able to derive a cost gap.

Part (c) required candidates to adjust the calculated labour cost by the value of the cost gapto arrive at a target labour cost.

The average time per component as a proportion of the time for the first component neededto be derived. The seventh root of this percentage showed the rate of learning required.

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Performance Management 2 March 2014

(a)

Cumulative average time for first 128 components

y = ax x = 128 y = 11.96 hours

a = 25 hours b = -0.152

Total time for first 128 components

11.96 hours * 128 = 1,530.88 hours

Cumulative average time for first 127 components

y = ax x = 127 y = 11.97 hours

a = 25 hours b = -0.152

Total time for first 127 components

11.97 hours * 127 = 1,520.19 hours

Time for component 128 = 1,530.88 – 1,520.19 = 10.69 hours

(b)

Average for 128 components Total 128 components

$ $

Sales price 530Required margin 20%

Target cost 424 54,272

Labour 11.96 hours*$15 179.40 22,963.20

Other costs 265 33,920

Expected cost 444.40 56,883.20

Cost gap 20.40 2,611.20

(c)

Cost gap = $2,611.20

Target labour cost: $22,963.20 - $2,611.20 = $20,352

Target labour hours: $20,352 / $15 = 1,356.8

Target cumulative average time per component: 1,356.8 / 128 components = 10.6 hours

Target learning rate: 10.6 hours / 25 hours ^(1/7) = 88%

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March 2014 3 Performance Management

Answer to Question Two

RationaleThe question examines candidates’ knowledge and understanding of Total QualityManagement and Kaizen costing when set in a car production environment.

The learning outcome tested is B1(c) explain the concepts of continuous improvement andKaizen costing that are central to total quality management. 

Suggested ApproachPart (a) required the explanation of two principles of Total Quality Management and did notrequire candidates to relate their answers to the scenario in the question.

Part (b) needed candidates to carefully read through the scenario in order to identify thechanges required to PB’s planning and control system. Candidates then needed to explainthe specific changes required from the scenario and the Kaizen concepts that would besupported by the changes. Citing generic conditions without relevance to the situationdescribed at PB would earn only limited marks.

(a)

Total Quality Management has two basic principles: ‘get it right first time’ and ‘continuousimprovement’.

Get it right first time essentially equates to aiming for a zero-defect target. This principle isbased on the premise that prevention costs are less than the cost of correction.

The principle of continuous improvement is based on the idea that, although the ideal state

may never be achieved, it is the aim. A target of zero defects may not be achievable.However, the principle of never being satisfied until this is achieved will engender the correctbehaviour of continually seeking to improve.

(b)

Kaizen costing is a system of cost reduction rather than cost control and is based uponattaining incremental cost reductions by making continuous small changes in the product orthe method of operations.

 As Kaizen costing is a system of cost reduction, PB would require different target informationthan at present. Rather than setting a budget based on standard costs, the target would bethe Kaizen cost.

Cost analysis in Kaizen costing requires the comparison of target Kaizen costs to actual costreductions. The performance reporting in PB would need to change from the current systemof comparing actual costs to budget costs to accommodate this.

Kaizen costing sets and applies cost reduction targets monthly. The current system of settingtargets (currently the annual budget at PB) once per year needs to change to accommodatemore frequent target setting.

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Performance Management 4 March 2014

Answer to Question Three

RationaleThe question examines candidates’ knowledge and understanding of flexible budgets and theuse of non-financial performance indicators.

The learning outcomes tested are:C2(c) evaluate performance using fixed and flexible budget reports.

C3(b) discuss the role of non-financial performance indicators. 

Suggested ApproachPart (a) (i) required candidates to use the value of the sales volume contribution planningvariance, the budget sales volume and standard contribution in order to calculate a revisedbudget sales volume. Substituting the values of the budget sales volume, standardcontribution and the sales volume contribution planning variance into the variance formulaand re-arranging the equation gave candidates the value of the revised budget sales volume.This figure needed to be used to revise the revenue and variable cost budgets.

Part (a) (ii) required candidates to use the value of the actual sales volume to produce aflexed budget.

Part (b) required an explanation of TWO non-financial measures that APZ could use tomonitor the performance of the new fast-food restaurant. Candidates could have chosen anumber of non-financial measures, but the information in the scenario needed to be used toexplain the relevance of their chosen measure to the performance of the new fast-foodrestaurant.

(a) (i) Budget

StandardRevisedBudget

Sales (number of meals) 5,200

$ $

Sales revenue 7.50 39,000

Variable costs 4.40 22,880

Fixed costs 5,250

Profit 10,870

Standard contribution: $7.50 - $4.40 = $3.10 permeal

Sales volume contribution planning variance = $2,480 Adverse

Sales volume contribution planning variance = (Budget sales - revised budget sales) * standard contribution

(2,480) = (6,000 - x) * 3.10

Revised budget sales = 5,200 meals

 Alternatively: $2,480 / $3.10 = 800. 6,000 – 800 = 5,200 revised budget sales

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March 2014 5 Performance Management

(ii)Budget

StandardFlexedBudget Actual Variance

Sales (number of meals) 5,400 5,400 0

$ $ $ $

Sales revenue 7.50 40,500 40,365 (135)

Variable costs 4.40 23,760 24,632 (872)

Fixed costs 5,250 4,950 300

Profit 11,490 10,783 (707)

(b)

Speed of food delivery.  Customers at fast food restaurants expect their food order to beserved quickly. If APZ is to be successful, it must achieve fast food delivery. Therefore ameasure of time from customer order to food service is a key metric to monitor in ascertainingthe restaurant’s success at this requirement.

Number of repeat customers.  APZ operates in a small town that offers a number of otherchoices of fast food restaurant to its residents. If APZ is to establish itself and grow marketshare, the restaurant needs to develop a loyal customer base. Number of repeat customersis a measure that could indicate the sustainability of the business and future financialsuccess.

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Performance Management 6 March 2014

Answer to Question Four

RationaleThe question examines candidates’ knowledge and understanding of pricing based on profitmaximisation in imperfect markets.

The learning outcome tested is A3(a) apply an approach to pricing based on profitmaximisation in imperfect markets. 

Suggested ApproachPart (a) required candidates to use the relevant formulae to calculate the price at which profitwould be maximised. Candidates then needed to use this price along with the associateddemand and variable costs per unit to calculate the contribution. Candidates needed to notethe length of the introductory phase. To calculate the maximum cost of the advertisingcampaign, three months’ contribution needed to be calculated and the required profitsubtracted from this.

Part (b) required an explanation of two reasons why it may not be appropriate to set theintroductory price of Product Z using the assumptions contained in the profit-maximisationmodel. Candidates needed to give specific reasons appropriate to the circumstancesdetailed in the scenario that may result in the assumptions used not being relevant.

(a)

To calculate the marginal revenue function the demand function must first be established.

P = a – bx

b = 32.5 / 2,500 = 0.013

200 = a - 0.013*20,000, therefore, a = 460

P = 460 – 0.013x

MR = a – 2bx, MR = 460 – 2*0.013x

Profit is maximised when MR = MC

MC = $85 + $56 + $20 = 161

161 = 460 – 2*0.013x, therefore x = 11,500.

Substitute the value of x into the demand function to get price

460 – 0.013*11,500 = $310.50

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March 2014 7 Performance Management

Introductory phase three months 3*11,500 = 34,500 units

Per unit $ 3 monthsunits

Introductoryphase $

Revenue 310.50 34,500 10,712,250

Material 85 34,500 2,932,500

Labour 56 34,500 1,932,000

Variable overhead 20 34,500 690,000

5,554,500

Contribution 5,157,750

Maximum advertising costs (balancing figure) 2,657,750

Three month profit target 2,500,000

(b)

The relationship between price and demand for product Z is an estimate. It is improbable thatrelationships between price and demand for previous products at SAF are going to berelevant for product Z. The new and innovative design of the Z is likely to mean that demandfor the product will be highly inelastic and potentially differ from the relationship observed withprevious products.

Price will not be the only factor affecting the demand for product Z. The significant advertisingand marketing campaign together with the unique nature of the product are likely to attractconsumers and impact demand. SAF must look to the external market to set a price for thelaunch and establish a pricing strategy for the life of product Z as competitors launch rivalproducts.

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Performance Management 8 March 2014

Answer to Question Five

RationaleThe question examines candidates’ knowledge and understanding of projected performanceevaluation using ratio analysis and the impact of involving staff in financial target setting in a

health club environment.

The learning outcomes tested are:C2(a) evaluate projected performance using ratio analysis.

C3(a) discuss the impact of budgetary control systems and setting of standard costs onhuman behaviour. 

Suggested ApproachPart (a) required candidates to read the scenario carefully and to understand the adjustmentsrequired to Quarter 3 data to project Quarter 4 figures. Candidates then needed to calculatethe required ratios using Quarter 4 figures and finally give a conclusion stating whether thehealth club manager would be expected to receive a bonus.

Part (b) required a discussion of the potential impact for TES of involving the health clubmanagers in the production of their quarterly financial targets. Advantages anddisadvantages were required, referring to the specific circumstances in the scenario. Thescenario stated ‘the financial targets are based on a national view of all TES health clubs’.Candidates were required to use this information when explaining the impact of themanager’s involvement.

(a)

Q4 Working

$000

Revenue 41.58 1

Less:

Staff costs 12.00

Other costs 20.90 2

Profit 8.68

Net assets 110

Number of customers 630

Profit margin 20.9%

Quarterly ROCE 7.9%

 Asset turnover 37.8%

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March 2014 9 Performance Management

Workings

1 Q3 average revenue per customer = $36,000 / 600 = $60

Increase of 10%: $60 * 1.1 = $66

Customer numbers: 600 * 1.05 = 630

Revenue = 630 * $66 = $41,580

2 Q3 other costs $22,000 * 0.95 = $20,900

Based on the forecast performance in quarter 4, only one of the three financial targets will beachieved. Therefore a bonus will not be awarded to the manager of health club E.

(b)

The managers’ involvement with setting the quarterly financial target could mean that the

target will be more accurate and realistic. This is because the managers will be close to theoperations of the health clubs and will be able to use their specialist knowledge to advise onregional variations to targets. For example, a national assumption of an increase of 10% inaverage revenue per customer may not be appropriate for health club E and should notautomatically be factored in to target setting. This involvement of managers could result inmore accurate forecast information that can be used by the finance team in devising thefinancial targets.

However, it is possible that the input of the managers may result in unrealistic financialtargets. The managers may attempt to influence the targets in order to attain a bonus moreeasily. The health club managers may also not have an overall picture of the health clubmarket or TES’s strategic outlook.

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Performance Management 10 March 2014

SECTION B 

Answer to Question Six

RationaleThe question examines candidates’ knowledge and understanding of a limiting factorsituation to maximise company profit along with aspects of breakeven and margin of safetyanalysis.

The learning outcomes tested are: Part (a) A2(b), interpret variable/fixed cost analysis in multiple product contexts to break-evenanalysis and product mix decision making, including circumstances where there are multipleconstraints and linear programming methods are needed to identify ‘optimal’ solutions.

Part (b) A1(a), discuss the principles of decision-making including the identification ofrelevant cash flows and their use alongside non-quantifiable factors in making rounded judgements.

Part (c) A2(d), analyse the impact of uncertainty and risk on decision models based on CVPanalysis. 

Suggested ApproachPart (a)Candidates needed to read the question carefully to understand what was required andproduce calculations to establish the limiting factor. A calculation of the contribution per unitof limiting factor for each product was needed in order rank the products and then aproduction plan produced, incorporating the additional order from the main customer. Based

on this production plan the resultant profit could be calculated.

Part (b)Candidates needed to relate their explanation to the scenario and give answers that werespecific to GF and the market it was operating in.

Part (c) A suggested approach was for candidates to calculate a weighted average C/S ratio toenable a calculation of the breakeven revenue. The margin of safety calculation required theuse of the calculated breakeven revenue. Finally, limitations of breakeven analysis in thisspecific scenario needed to be explained by candidates.

(a)S T B Total

Material m

 Available2

 per unit 5 0.5 1.5

Labour hours per unit 3 1 2.25

Demand - budget and order (units) 3,000 7,000 5,000

Material m2

 required 15,000 3,500 7,500 26,000 14,500

Labour hours required 9,000 7,000 11,250 27,250 30,000

Production is constrained by material availability

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March 2014 11 Performance Management

S T B

$ $ $

Selling price 250 40 100

Direct materials ($X per m2

 

) 100 10 30

Direct labour ($X per hour) 36 12 27

Variable overhead ($3 per machine hour) 9 3 6.75

Contribution per unit 105 15 36.25

Material m2

 per unit 5 0.5 1.5

Contribution permaterial m

 

2  21 30 24.17

Rank 3rd 1st 2nd

 After new customer order (7,000 m2

 of material required) 7,500 m2

of material are available

S T B Total

New customer order (units) 1,000 1,000 1,000

Material required m 

2  5,000 500 1,500 7,000

Production (units) 0 6,000 3,000

Material required m 

2  0 3,000 4,500 7,500

Production plan (units) 1,000 7,000 4,000

$ $ $ $

Sales revenue 250,000 280,000 400,000 930,000

Direct material 100,000 70,000 120,000 290,000

Direct labour 36,000 84,000 108,000 228,000

Variable overhead 9,000 21,000 27,000 57,000

Contribution 105,000 105,000 145,000 355,000

Fixed cost 300,000

Profit 55,000

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Performance Management 12 March 2014

(b)

The optimal production plan is based on demand assumptions that were budgeted at the startof the year. This may not consider the latest external demand as a result of the feature in thefashion magazine. This is not considered in the budget as it was prepared at the start of theyear before the fashion magazine feature was published.

The optimal production plan is based on the most effective use of resources at GF and not onthe requirements of its customers. Optimal profit based on the constraints GF is under isgenerated by producing 1,000 units of S, 7,000 units of T and 4,000 units of B (including theorder from the new customer). This does not consider a potential change in the market.

Based on the budget constructed at the start of the year, demand for 12,000 units of clothingwas anticipated requiring 19,000m

2 of material. The order from the new customer has now

increased this figure to 26,000m2. The availability of material, now in March, is limited to14,500m

2. The reduced availability of material may also affect the price per m

2

 

, theassumptions on material price should also be updated.

Note, only two issues are required.

(c)  (i)

The breakeven point is achieved when GF make neither a profit nor a loss. At the breakevenpoint the contribution generated by the sales will exactly match the value of the fixed costs.Based on the product mix for April, GF will break even at a revenue of $750,000.

S T B

$ $ $

Production (units) 4,000 5,000 4,000

Revenue 1,000,000 200,000 400,000Contribution 420,000 75,000 145,000

Total contribution 640,000

Total revenue 1,600,000

Weighted average C/S ratio 40%

Fixed costs 300,000

Breakevenrevenue 750,000

(ii)

The margin of safety is the difference between the sales revenue for the production plan andthe sales revenue at the breakeven point. The margin of safety is 53%.

Margin of safety = Sales revenue - breakeven revenue

Sales revenue

= 1,600,000 – 750,000

1,600,000

= 53%

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March 2014 13 Performance Management

(iii)

1) The analysis assumes that the products will be sold in the stated mix. This may not bethe case for GF as the fashion market can change quickly and consumer demandscannot be predicted exactly. Changes in relative demand for the different products arenot accommodated in the breakeven analysis.

2) Breakeven analysis assumes that costs and revenues display a linear relationship overthe production range in question. This may not be the case for a number of reasons. Forexample, unit production time may be impacted by the learning curve effect. Thisassumption provides an overly simplified view of the cost and revenue relationships andimpacts the accuracy of the resulting calculation.

3) Fixed costs are assumed to be constant over the entire production range in question. Forexample, an increase in fixed costs due to production facility expansion is not consideredin the analysis. The breakeven revenue is what is required to generate contributionequivalent to a given fixed cost only.

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Performance Management 14 March 2014

Answer to Question Seven

RationaleThe question examines candidates’ knowledge and understanding of transfer pricing togetherwith the implications of outsourcing.

The learning outcomes tested are:

Part (a) & (b) D3(b), discuss the typical consequences of a divisional structure for performance measurement as divisions compete or trade with each other. 

Part (c) B1(j), discuss the concept of the value chain and the management ofcontribution/profit generated throughout the chain. 

Suggested ApproachFor part (a), carefully read and understand the data provided and assemble the figures toshow the profitability of two divisions, with Division S supplying to a Division B.

Part (b) (i) carefully read the information in the question and use the appropriate figures incalculating the profit for each division and the total SBA company.

Part (b) (ii) a target profit of $450,000 was required. Candidates should firstly adjust thisfigure for the contribution from the existing external demand. Divide the resulting figure bythe 25,000 components to give a required contribution per unit. The contribution per unitshould then be added to the variable cost per unit.

Part (c) required a discussion of potential implications for SBA of outsourcing the productionof one type of component that it manufactures; candidates were required to explain potentialpositive and negative implications for SBA.

(a)

S B Working

$ $

Sales

Internal 3,850,000 1

External 4,750,000 7,200,000 2

8,600,000 7,200,000

Variable costs

Components

Internal 0 3,850,000 3

External 7,700,000 4

[MMU1] 

Other variable 0 1,888,000 5

Fixed costs 560,000 1,460,000

Profit 340,000 2,000

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March 2014 15 Performance Management

Workings 1) 55,000 components at $50 opportunity cost

25,000 components at $44 marginal cost

2) 95,000 components at $5016,000 units at $450

3) As per division S internal sales revenue

4) 175,000 components at $44

5) 16,000 units at $118

(b)  (i)S B SBA Working

$ $ $

Sales

Internal 0 0 0External 7,500,000 7,200,000 14,700,000 1

7,500,000 7,200,000 14,700,000

Variable costs

Components

Internal 0 0 0

External 6,600,000 3,360,000 9,960,000 2

[MMU2] 

Other variable 0 1,888,000 1,888,000 3

Fixed costs 560,000 1,460,000 2,020,000

Profit 340,000 492,000 832,000

Workings 1) 150,000 components at $50 market price

16,000 units at $450

2) 150,000 components at $4480,000 components at $42

3) 16,000 units at $118

(b)  (ii)

Profit requirement $ 450,000

Remaining production capacity 25,000 =175,000 - 150,000

 Additional contribution required $ 110,000 =450,000 - 340,000

Contribution per component $ 4.40 =110,000/25,000

Variable cost $ 44

Sell externally per component $ 48.40 = 44 + 4.40

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Performance Management 16 March 2014

(c)

Many organisations have taken the decision to outsource the manufacture of theircomponents rather than produce internally. The primary driver for these decisions is financialcompetitiveness. Lower cost, and in some cases lower taxation rate economies, may offercheaper production and allow the organisation to focus on its core activities.

 An external supplier may be able to offer SBA the same component at a lower cost than it iscurrently incurring internally. SBA would be able to make direct cost savings together withpossible fixed production cost savings.

The external supplier could also potentially provide a higher degree of flexibility than theinternal manufacturing division. Specialist component manufacturers may utilise the latesttechnology in production without SBA bearing the investment risk but benefiting from themore efficient manufacturing methods.

When selecting an external company to produce components, SBA must consider the choiceof supplier carefully to ensure the product is in line with its requirements.

 A potential loss of control is another consideration, as the two organisations will have differingpriorities and objectives. A close relationship is required between the two organisations sothat there is knowledge of lead times and the demand cycle at SBA.

Outsourcing the manufacture of components will result in spare capacity at SBA. Can this beutilised or can cost savings be achieved through redundancy and decommissioning?

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

 The Chartered Institute of Management Accountants 2014

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

21 May 2014 – Wednesday Afternoon Session 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins  during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 9.

Section B comprises 2 questions and is on pages 10 to 13.

Maths tables and formulae are provided on pages 15 to 18.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 May 2014

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

 A company has produced the following performance report for April. The budget shown in thereport was based on an original assumption that the total market size for April would be 40million units. Since the performance report was produced, more accurate market sizeinformation has become available. The actual market size for April was lower than estimatedat 37.5 million units.

Required:

(a) Produce a statement that reconciles budget profit to actual profit for April in as muchdetail as possible.

(6 marks)

(b)  Discuss the advantages and disadvantages of your statement with regard toresponsibility accounting.

(4 marks )  

(Total for Questio n One = 10 mark s)  

Budget Actual VarianceSales and

production units2,000,000 1,650,000 (350,000)

Budget Actual Variance

$000 $000 $000

Revenue 7,000 5,643.0 (1,357.0)

Variable costs 4,220 3,580.5 639.5

Fixed costs 1,050 1,100.0 (50.0)

Profit 1,730 962.5 (767.5)

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May 2014 3 Performance Management

Question two is on the next page

TURN OVER

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Performance Management 4 May 2014

Question Two

SVC is a car manufacturer. SVC is planning the development of a prototype hydrogenpowered car, the Model Q. The prototype Model Q car will have a limited production run of250 cars. To ensure that the Model Q is ready by SVC’s stated deadline, production will takeplace over the course of one month. Details for the development and production of the

prototype Model Q are shown below.

Note: a prototype is defined as a preliminary version of a vehicle from which other forms maybe developed.

Forecast development cost $6,500,000

Forecast design cost $1,300,000

Material cost $25,500 per car

Forecast manufacturing costs

Variable production overhead cost $780 per car (this is not related to labour hours)

Direct labour $60 per hour (see note 2 below)

SVC plans to hire a team of 12 specialist production staff. The specialist production staff willbe paid a premium on their basic hourly rate of pay dependent on the total number of labourhours required to produce all 250 prototype Model Q cars as follows:

Direct labour

Total labour hours Premium on basic hourly labour rate

0 – 2,000 35%

2,001 – 2,500 30%

2,501 – 3,000 25%

3,001 – 3,500 20%

More than 3,500 0%

The premium on the basic hourly labour rate will be applicable to all labour hours duringproduction.

It is estimated that the manufacture of the first car will take 13 labour hours. There isexpected to be a 95% learning curve that will continue until 128 cars have been produced.

Thereafter, each car will take the same time to produce as the 128

th

.

Learning curve

Notes:

1. The learning index for a 95% learning curve = -0.074

2. The hourly direct labour rate stated above under ‘Forecast manufacturing cost’ is

inclusive of a premium on the basic hourly labour rate, which has been calculated

assuming that each of the 250 cars takes the same time to produce as the first.

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May 2014 5 Performance Management

Required:

(a) Calculate the total labour cost of producing 250 cars.(6 marks)

(b) Discuss life cycle costing, using the information given about the Model Q car to illustrateyour discussion.

(4 marks)  

(Total for Questio n Two = 10 marks)  

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Performance Management 6 May 2014

Question Three

NJ assembles and sells racing bicycles.

In an attempt to improve profit, during the latest year NJ reduced the training it provided to itsmanufacturing staff.

The following actual selling price and cost information is available for the latest year:

$ per bicycleSelling price 1350Frame cost 820Other material cost 85

 Assembly cost 100Delivery costContribution

15330

 Annual qual it y cost informat ion for the latest year

Inspection costs (manufacturing) $2,300,000Staff training costs $780,000

Total cost of dismantling andreassembling per bike (this includes thecollection cost of the faulty bicycle at $20)

$200

Estimated market size (number ofbicycles)

2,500,000

 Addi tional informat ion for the latest year

•  3,000 completed bicycles were found to have a faulty frame before delivery to thecustomer. Each faulty frame had to be replaced and the bicycle had to be reassembled.NJ is unable to recover the cost of faulty frames from the supplier as the supplier hasgone into liquidation.

•  NJ had to replace 1,500 bicycles that had already been delivered to customers due to afailure of the frame.

•  The management team at NJ estimated that its market share fell to 8% from a forecast8.5% due to adverse consumer reaction as a result of criticism in the bicycle racingpress.

Required: 

(a)  Prepare a cost of quality report for NJ for the latest year under appropriate headings.

(6 marks )  

(b) Discuss, using the above information, the relationship between conformancecosts and non-conformance costs.

(4 marks)

(Total for Question Three = 10 marks)  

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May 2014 7 Performance Management

Question Four

 AST is a grocery and general merchandise retail group. AST has supermarkets located inmost towns and cities in its home country. Over the last few years, profits have fallen and

 AST has recognised that it has paid insufficient attention to customer care.

 AST has now realised the importance of the customer experience at its supermarkets. In anattempt to earn the loyalty of its customers, AST has introduced a loyalty card scheme thatrewards customers with discount vouchers based on their spend and buying patterns atsupermarkets.

The management of AST is considering the introduction of a balanced scorecard approach tomanage the performance of its stores.

Required:

Recommend an objective and a suitable performance measure for each of three non-financial perspectives of a balanced scorecard that AST could use to support its newstrategy of improving the customer experience.

Note: in your answer you should state three perspectives and then recommend withreasons an objective and a performance measure for each one of your threeperspectives. 

(Total for Questio n Four = 10 marks)

Section A continues on the next page 

TURN OVER 

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Performance Management 8 May 2014

Question Five

PTP produces two products from different combinations of the same resources. Details of theselling price and costs per unit for each product are shown below:

Product E Product M$ $

Selling price 175 125Material A ($12 per kg) 60 24Material B ($5 per kg) 10 15Labour ($20 per hour) 40 20Variable overhead ($7 per machine hour) 14 28

The fixed costs of the company are $50,000 per month.

PTP aims to maximise profits from production and sales. The production plan for June iscurrently under consideration.

The following resources are available in June:Material A 4,800kg

Material B 3,900kg

Labour 2,500 hours

Machine hours 5,000 hours

Required: 

(a)

(i) Identify the objective function and the constraints to be used in a linear programming

model to determine the optimum production plan for June.

(3 marks)

The solution to the linear programming model shows that the only binding constraints in Juneare those for Material A and Material B.

(ii) Produce, using simultaneous equations, the optimum production plan and resultingprofit for June. (You are NOT required to draw or sketch a graph.)

(5 marks)

Based on the optimal production plan for June, the management accountant at PTP hasdetermined that the shadow price for Material A is $7 per kg.

(b)  Explain the meaning of the shadow price for Material A.(2 marks)

(Total for Qu estion Five = 10 marks)  

(Total for Section A = 50 marks)

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May 2014 9 Performance Management

End of Section A

Section B starts on page 10

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Performance Management 10 May 2014

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

BON Group is a magazine publishing company. It comprises a number of different divisions,each publishing magazines in a different sector. Many of its magazines are the most populartitles in their specialist interest group. BON Group is a profitable company and is one of thelargest publishing companies in its country based on staff numbers and magazine circulation.

BON Group is now considering entering into the home decoration print magazine market withits new title ‘Y Magazine’. The home decoration print magazine market is very competitive

with a number of well established titles already being published by BON Group’s competitors.

Y Magazine would be published monthly. The management of BON Group is initiallyconsidering the following market research-derived information to determine the selling price ofY Magazine.

If the selling price of Y Magazine is $3.99, the monthly demand for the magazine is expectedto be 60,000 copies. For every $0.50 increase in the selling price, this demand would reduceby 10,000 copies. For every $0.50 decrease in the selling price, this demand would increaseby 10,000 copies.

$

Forecast variable cost per copy of Y Magazine:

Paper 0.83Ink See note 1

Machine cost 0.22

Other variable cost 0.15

Note 1: Each Y Magazine needs 0.2 litres of ink. However 10% of the ink input to the printingprocess is wasted. Ink costs $5.40 per litre.

Required: 

(a)  Calculate the total monthly contribution that would be earned by Y Magazine.

Note: assume that BON Group will set the selling price so that profits would be maximised.If P = a - bx then MR = a - 2bx

(7 marks)

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May 2014 11 Performance Management

BON Group has commissioned an advertising campaign to launch Y Magazine. This willinvalidate the previous price and demand relationship. The price of Y Magazine has been setat full cost plus a mark-up of 20%. In month 1, BON Group now expects to sell 50,000 copiesof the magazine to new customers at this price.

The management of BON Group wishes to calculate the total profit for first three months of YMagazine. The following information is available:

•  After their first month of purchase, BON Group expects 90% of all new customers topurchase Y Magazine for a second consecutive month. After the second month ofpurchase, BON Group expects to retain 85% of these remaining customers insubsequent months.

•  As the magazine circulation area increases, sales to additional new customers in

months 2 and 3 will be 20% and 30% of the month 1 sales figure respectively.

•  Fixed overhead costs are apportioned by BON Group to magazines based on sales

volume. Total budgeted annual fixed overhead is $18,000,000 and total budgeted

annual magazine sales, including Y Magazine, is 12,000,000 copies.

•  The sales price of Y Magazine will remain unchanged throughout the first three

months.

Required: 

(b)  Produce a statement that shows the total profit for the first three months ofY Magazine.

(6 marks)

(c)  Calculate the percentage of new customers that need to purchase Y Magazine for asecond consecutive month in order to achieve a three-month profit of $100,000.

(4 marks)

(d)  Discuss the suitability of market skimming and penetration pricing as alternative pricingstrategies for the introduction of Y Magazine.

(8 marks )  

(Total for Questio n Six = 25 marks)

Section B continues on the next page 

TURN OVER

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Performance Management 12 May 2014

Question Seven

BLR provides vehicle maintenance services through its chain of garages. Each garageoperates as an investment centre.

Garage managers are targeted on Return on Capital Employed (ROCE) and receive a bonus

if their garage generates an annual ROCE of 15% or more. At the start of this year, garage managers were informed that each garage would now receivean apportionment of the BLR head office fixed overhead costs. Head office costs arecalculated as 7% of sales revenue and are included in Other operating costs. BLR headoffice stated that target ROCE would remain at 15% for each of its garages.

The following is a summary performance report for Garage A and Garage B:

Garage A Garage B

This year Last year This year Last year

$000 $000 $000 $000

Sales revenue 1,300.0 1,200.0 550.0 500.0Material costs 190.0 180.0 80.0 75.0

Staff costs 355.0 350.0 150.0 150.0

Other operating costs 531.0 460.0 258.5 180.0

Profit 224.0 210.0 61.5 95.0

Capital employed 1,600 1,500 400 600

The capital employed figures in the above table are the net book value of the non-currentassets of each garage at the end of the year.

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May 2014 13 Performance Management

Required:

(a)  Explain ONE advantage and ONE disadvantage of each BLR garage being charged anapportionment of BLR head office costs.

(4 marks)

(b)  Discuss, using the information in the scenario, the advantages and disadvantages ofusing ROCE to determine manager bonuses.

(9 marks)

Now using Residual Income (RI) to assess the performance of garage managers:

(c)  Discuss the advantages and disadvantages of using RI instead of ROCE to determinegarage managers’ bonuses.

Note: BLR has a cost of capital of 8%.(8 marks )  

BLR has a Total Quality Management (TQM) culture and, to support this culture, HeadOffice proposes to measure garage performance against a competitor instead ofagainst a pre-determined internal standard. The management of BLR has chosen tobenchmark performance against NKR. NKR is a successful private company thatoperates a network of similar sized garages to BLR. 

Required: 

(d)  Discuss the suitability and the feasibility of benchmarking the performance of BLRagainst that of NKR.

(4 marks )  

(Total for Questio n Seven = 25 marks )  

(Total for Sectio n B = 50 marks )

End of question paper  Maths tables and formulae are on pages 15 to 17

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Performance Management 14 May 2014

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May 2014 15 Performance Management

PRESENT VALUE TABLE 

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 16 May 2014

CUMULATIVE PRESENT VALUE TABLE

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n years r 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.103

14 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.6058 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.031

10 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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May 2014 17 Performance Management

FORMULAE

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of MultiplicationIf A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive ModelSeries = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 18 May 2014

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

 Annuit y

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r    ]1[

11

PerpetuityPresent value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output;

 X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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May 2014 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb. 

LEARNING OBJECTIVE VERBS USED DEFINITIONLevel 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differences

betweenConstruct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 May 2014

Performance Pillar

Management Level Paper

P2 – Performance Management

May 2014

Wednesday Afternoon Session 

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 The Chartered Institute of Management Accountants 2014

Management Level Paper

P2 – Performance ManagementMay 2014 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for each question,will be published on the CIMA website by early August at www.cimaglobal.com/P2PEGS 

SECTION A

Answer to Question One

Rationale

The question examines candidates’ knowledge, understanding and application of varianceanalysis as well as their understanding of responsibility accounting.The learning outcomes tested are:Part (a) C2(c), evaluate performance using fixed and flexible budget reports.Part (b) C1(c), identify controllable and uncontrollable costs in the context of responsibilityaccounting and why uncontrollable costs may or may not be allocated to responsibilitycentres.

Suggested Approach 

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the relevant variances inorder to reconcile the actual and budgeted profit, being aware of the requirement for planningand operational variance calculations.In part (b) candidates were required to apply their knowledge of responsibility accounting to

provide advantages and disadvantages of the use of their statement to support responsibility

accounting.

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May 2014 2 Performance Management

(a)

Statement to reconcile budget profit to actual profit for April 

$000

Budget profit 1,730.00Sales volume contribution planning variance (173.75) Adverse

Sales volume contribution operational variance (312.75) Adverse

Sales price variance (132.00) Adverse

Variable costs variance (99.00) Adverse

Fixed costs variance (50.00) Adverse

 Actual profit 962.50

Budget market share: 2,000,000 / 40,000,000 = 5%

Revised budget market share: 5% x 37.5m = 1,875,000Budget contribution per unit: $3.50 - $2.11 = $1.39

Sales volume contribution planning variance*: (2,000,000 - 1,875,000) x $1.39 = $173,750

Sales volume contribution operational variance**: (1,875,000 - 1,650,000) x $1.39 = $312,750

Sales price variance: ($3.42 - $3.50) x 1,650,000 = ($132,000)

Variable cost variance: (1,650,000 x $2.11) - $3,580,500 = ($99,000)

* Market size variance** Market share variance

(b) 

The revised statement provides additional detail on the causes of the sales volume variance,splitting into planning and operational elements. This additional detail will facilitate responsibilityaccounting by providing the company with the information to assess which elements ofvariances were under the control of company managers and which were not. The adverse salesvolume contribution planning variance was caused by the change in the market and themanager should not be held accountable for this under responsibility accounting. However, thesales volume contribution operational variance could be said to be under the control of themanager and they should be held accountable.

The revised statement provides more limited information on the variable cost and fixed cost

variances. The statement is predicated on the assumption that variable costs will changeproportionately with a change in production volume. This may not be the case, for example,reduced production volumes could result in the company losing volume discounts fromsuppliers. This level of information is not available in the revised statement and would notfacilitate responsibility accounting in this respect.

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Performance Management 3 May 2014

SECTION B

Answer to Question Two

Rationale

The question examines candidates’ knowledge and understanding of the learning curve.The learning outcomes tested are:Part (a) B1(e), apply learning curves to estimate time and cost for new products and services.Part (b) B1(i), discuss the concept of life cycle costing and how life cycle costs interact withmarketing strategies at each stage of the life cycle.

Suggested Approach 

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the time required toproduce the 128

th car before going to calculate the time for all 250 cars. Candidates then

needed to use this information to assess the premium already included in the hourly ratebefore making the appropriate adjustment using the table in the scenario.

In part (b) candidates were required to discuss life-cycle costing using the specificcircumstances given in the scenario to illustrate their discussion. A discussion, relating theModel Q car production at SVC to the requirement, was needed to score the highest marks.

(a)

y = ax 

y = 9.078a = 13 hours Average time to produce first 128 cars

x = 128

b = -0.074 Total time to first produce 128 cars 1,161.984hours

y = ax 

y = 9.084

a = 13 hours Average time to produce first 127 cars

x = 127

b = -0.074 Total time to produce first 127 cars 1,153.668hours

Time to produce 128th car 8.316 hours

If all cars take 13 hours each to produce, total time required is 3,250 hours

Therefore, a premium of 20% is included in the stated hourly rate

Basic hourly rate = $60 per hour / 1.2 = $50 per hour

Time required to produce 250 cars

Time for first 128 = 1,161.984 hours

Time for remaining 122 cars: 122 x 8.316 hours = 1,014.552 hours

Total time = 2,176.536 hours

Therefore, a premium of 30% will added to the basic hourly rate

$50 x 1.3 = $65

Total labour cost of 250 cars = $65 x 2,176.536 hours = $141,475

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May 2014 4 Performance Management

(b)

Life-cycle costing is the accumulation of costs for activities that occur over the entire life cycle ofa product, from inception to abandonment.

It is common that 80-90% of a product’s costs are committed in the design and developmentstages of its life. The design and development costs for the prototype Model Q car aresignificant at $7.8 million. It is important for SVC to understand the total life cycle cost for thecar in order to facilitate profit planning if and when production is started on a car for the widermarket. An understanding of the life cycle cost will assist SVC in focussing attention on wherethe majority of costs are incurred. Designing out costs in design and development stages islikely to yield significant cost saving if and when full production of the car begins. Information onthe life cycle cost for Model Q will also inform SVC on the required life cycle for the car in orderto achieve a required profit and emphasise the need for the time to market to be minimised.

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Performance Management 5 May 2014

Answer to Question Three

Rationale

The question examines candidates’ knowledge and understanding of cost of quality reports.The learning outcome tested is B1(d), prepare cost of quality reports.

Suggested Approach 

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the quality cost impact ofthe various issues detailed in the scenario and then prepare a cost of quality report allocatingthe calculated costs under the appropriate headings.In part (b) candidates were required to discuss the relationship between conformance costsand non-conformance costs. Again, to score high marks, candidates needed to use the costrelationships exhibited at NJ to support their discussion points.

(a)

Cost of Quality Report for the latest year

Volume Rate Cost

$ $

Prevention costs

Staff training 780,000

Appraisal costs

Inspection costs 2,300,000

Internal failure costs

Re-worked bicycles 3,000 1,000 3,000,000

External failure costs

Replacement bicycles 1,500 1,035 1,552,500

Sub total 7,632,500

Opportunity costs 12,500* 330 4,125,000

Total quality costs 11,757,500

* 2,500,000 x 0.5% = 12,500

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May 2014 6 Performance Management

(b)

NJ incurs conformance costs with the aim of removing defects and failure in production.Conformance costs comprise: i) prevention costs (the cost of ensuring products are notproduced that do not conform with quality requirements) and ii) appraisal costs (the cost ofassessing if products meet the required quality standard). Non-conformance costs are incurred

as a result of faulty products being produced. Non-conformance costs comprise: i) internalfailure costs (the cost incurred when sub standard products are produced but not delivered tothe customer) and ii) external failure costs (the costs incurred when a sub standard productreaches the customer).

 An increase in spend on conformance costs is likely to reduce the amount of cost incurred onnon-conformance costs. The view is that the optimal amount to spend on conformance costs iswhere total quality costs are at a minimum. However, this is contrary to the TQM philosophywhere the aim is zero defect production.Staff training costs are prevention costs and a reduction in spend is likely to result in increasednon-conformance costs that may lead to a rise in total quality cost. This could ultimatelydamage NJ’s reputation and adversely impact revenues.

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Performance Management 7 May 2014

Answer to Question Four  

Rationale

The question examines candidates’ knowledge and understanding of the non-financialperspectives of the balanced scorecard.

The learning outcome tested is C3 (c), compare and contrast traditional approaches tobudgeting with recommendations based on the ‘balanced scorecard’.

Suggested Approach 

Candidates needed to read the question carefully and understand the context in which thisquestion is set.

 An objective and a suitable performance measure was required for each of the three non-financial perspectives.

Customer perspectiveObjective: increase customer loyalty.Performance measure: percentage of customers using loyalty card offers.Customer loyalty is important to AST in terms of deepening the relationship AST has with itscustomers to drive revenues. A high percentage would indicate that AST has returningcustomers and that the offers they are targeting them with are of value to them. If AST canprovide customers with the products that they value, customers will return and potentiallypurchase additional items from stores. Deepening the customer relationship to drive revenuemay be cheaper than acquiring new customers.

Internal business process perspective Objective: for customers to pay for goods in a reasonable time.Performance measure: time spent by customers queuing to pay for products at a check out.The customer experience at their supermarkets is extremely important to AST. A key indicatorof the experience of a customer is the time queuing to pay for products at a check out. ASTcould measure average queue time to focus resources on managing queuing time to acceptablelevels.

Learning and growth perspectiveObjective: to have qualified staff able to meet the needs of the customer.Performance measure: number of staff training days.The number of staff training days is an indicator of staff having the required skills to serve

customers and that they are continuing to develop professionally.

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May 2014 8 Performance Management

Answer to Question Five

Rationale

The question examines candidates’ knowledge, understanding and application of linearprogramming and of the outputs of a linear programming model.The learning outcomes tested are:Part (a) A2(b), interpret variable/fixed cost analysis in multiple product contexts to break-evenanalysis and product mix decision making, including circumstances where there are multipleconstraints and linear programming methods are needed to identify ‘optimal’ solutions.Part (b) A2(c), discuss the meaning of ‘optimal’ solutions and how linear programmingmethods can be employed for profit maximising, revenue maximising and satisfyingobjectives. 

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to identify the relevant constraints tobe used in a linear programming model and then produce, using simultaneous equations, theoptimum production plan and associated profit.

In part (b) candidates were required to explain the meaning of the given shadow price figure.The explanation required a description of the shadow price along with the relevance of thefigure for material A at PTP.

(a)

(i)

Let E = the number of units of Product E produced and sold in June.Let M = the number of units of Product M produced and sold in June.

Material A: 5E + 2M ≤ 4,800 Constraints:

Material B: 2E + 3M ≤ 3,900 Labour: 2E + M ≤ 2,500 Machine hours: 2E + 4M ≤ 5,000 Non-negativity: E,M ≥ 0 

Objective function: To maximise 51E + 38M

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Performance Management 9 May 2014

(ii)

5E + 2M = 4,800 Equation (1)2E + 3M = 3,900 Equation (2)Equation (1) x 2 = Equation (3)Equation (2) x 5 = Equation (4)

10E + 15M = 19,500 Equation (4)10E + 4M = 9,600

11M = 9,900 Equation (4) – Equation (3)Equation (3)

M = 900Substitute into Equation (1)E = 600Substitute values into the objective function:Contribution: (51 x 600) + (38 x 900) = $64,800Less fixed costs $50,000Profit = $14,800

(b)

If one more kg of material A were available at the normal cost of $12, this would generate anadditional $7 of contribution for PTP. Therefore, the shadow price of $7 for material Arepresents the maximum premium PTP should pay to acquire one more kg of material A.

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May 2014 10 Performance Management

SECTION B 

Answer to Question Six

Rationale

The question examines candidates’ knowledge, understanding and application of pricingstrategies and their consequences.The learning outcomes tested are:Part (a) A3(a), apply an approach to pricing based on profit maximisation in imperfectmarkets.Part (b), (c) and (d) A3(b), discuss the financial consequences of alternative pricingstrategies. 

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates were required to apply their knowledge of theprofit maximisation model in order to calculate a contribution figure.In part (b) candidates needed to apply the cost-plus pricing technique. Candidates alsoneeded to pay particular attention to the timing of revenue streams from customers and thecustomer age profile in order to calculate a total profit figure. In part (c) candidates needed tounderstand the customer age profile’s impact on profit in order to calculate the requiredpercentage of customers purchasing the magazine for a second consecutive month.

In part (d) candidates were required to discuss the market penetration and market skimmingpricing strategies and their suitability to Y Magazine. It was necessary to apply the specific

details about Y Magazine to the suitability discussion in order to gain high marks in this partof the question.

(a)

Variable cost

$ Working

Paper 0.83

Ink 1.20 1

Machine cost 0.22

Other variable cost 0.15Total variable cost 2.40

Workings

1 Ink cost per magazine without loses $1.08

10% of ink wasted during printing

$1.08 x (100/(100 – 10)) = $1.20

p = a -bx

p = 3.99

x = 60,000

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Performance Management 11 May 2014

Change in p 0.50

Change in x 10,000

b = 0.00005

a = 6.99

p = 6.99 - 0.00005x

MC = MR x = 45,900

p = $4.70

$

Revenue ($4.70 x 45,900) 215,730

Variable cost ($2.40 x 45,900) 110,160

Contribution 105,570

(b)

Statement of total profit for the first three months

Month 1 Month 2 Month 3 Total

$ $ $ $

Sales revenue 234,000 257,400 291,330 782,730

Total cost 195,000 214,500 242,775 652,275

Profit 39,000 42,900 48,555 130,455

Workings

New customers Number of Y Magazine sales

Month 1 Month 2 Month 3

50,000 month 1 50,000 45,000 38,250

10,000 month 2 10,000 9,000

15,000 month 3 15,000

50,000 55,000 62,250

OAR $18,000,000 / 12,000,000 = $1.50 per magazine

Total cost per magazine $2.40 + $1.50 = $3.90

Sales price per magazine $3.90 x 1.2 = $4.68

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May 2014 12 Performance Management

(c)

Required profit $100,000

Profit per copy of magazine ($4.68 - $3.90) $0.78

Number of magazine copies required 128,205

X is the percentage of customers purchasing for a second month

Total required sales in the first three months

50,000 + 50,000X + 50,000X.0.85 + 10,000 + 10,000X + 15,000 = 128,205

102,500X = 53,205

X = 51.9%

(d) 

 A penetration pricing strategy is adopting by companies wishing to generate a large marketshare quickly by offering the product at a significantly cheaper price than competitors. The lowinitial price is designed to attract customers to the product. The price may be increased later inthe product lifecycle when the customer’s purchasing pattern has changed to favour the productin question.

Penetration pricing is suitable for products where there are similar substitute products available.This is the case in the home decoration print magazine market. The profitable BON Group maybe able to support a short-term loss making financial position for the Y Magazine as it gainsmarket share to a point where its size is a potential deterrent to other new entrants.Penetration pricing is suitable for products where the demand curve is elastic and there is alarge market for the product. This may not be the case for the home decoration print magazine

market as the existing titles may have built up customer loyalty as a result of their specificdesign features and journalistic style. The size of the market is not known and there may not beroom for another profitable print title.

 A market skimming pricing strategy sets a high price for the product initially to generate profit forthe company quickly and reduces the price as competitors come into the market offering similarproducts. Highly innovative and unique products are likely to be able to take advantage of amarket skimming strategy where consumers are willing to pay a premium for the product’sunique design and/or technology. This may not be appropriate for Y Magazine if the magazineoffers a very similar reader experience to the existing titles. A market skimming approach wouldrequire Y Magazine to have a relatively inelastic demand curve: the disposable nature of themagazine and the competitive market place do not appear to support the market skimmingstrategy.

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Performance Management 13 May 2014

Answer to Question Seven

Rationale

The question examines candidates’ knowledge, understanding and application of alternativemeasures of performance for responsibility centres in the context of a chain of vehiclemaintenance garages.The learning outcomes tested are:Part (a) D2(b), discuss revenue and cost information in appropriate formats for profit andinvestment centre managers, taking due account of cost variability, attributable costs,controllable costs and identification of appropriate measures of profit centre ‘contribution’;Parts (b) and (c) D2(c), discuss alternative measures of performance for responsibilitycentres.Part (d) B1(b), evaluate the impacts of just-in-time production, the theory of constraints andtotal quality management on efficiency, inventory and cost.

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates were required to apply their knowledge ofcontrollable and uncontrollable costs in order to provide an advantage and a disadvantage ofcharging an apportionment of head office costs to responsibility centres.In parts (b) and (c) candidates needed to apply their knowledge of Return on CapitalEmployed (ROCE) and Residual Income (RI) metrics to perform calculations before providingan appraisal of the performance metrics. Candidates needed to be aware of the impact of thehead office costs and calculate versions of ROCE and RI including and excluding thesecosts.In part (d) candidates were required to discuss the suitability and the feasibility ofbenchmarking the performance of BLR against the performance of NKR. Candidates needed

to cite the relevance of NKR as a private competitor company in their discussion.

(a)

 An advantage of BLR garage managers being charged an apportionment of head office costs isthat they become aware of the costs involved in supporting the work of their garage. Arguably,head office costs are largely support costs and are incurred in support of the operation of thegarages. BLR garage managers should be aware of these support costs as this may lead todiscussions about how the use of head office activities may be reduced.

Conversely, the BLR garage managers are being made accountable for an arbitraryapportionment of the head office costs over which they have no direct control. The arbitrary

nature of the apportionment of costs by head office is out of the control of the garagemanagement. This could potentially have a de-motivating effect on managers as theirperformance metrics do not represent a true picture of the performance of their garage that isunder their control.

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May 2014 14 Performance Management

(b)

Garage A Garage B

This year Last year This year Last year

ROCE (based on net profit) 14% 15%

ROCE (based on controllable profit) 20% 14% 25% 16%

Controllable profit $000 315 100

Last year the manager of Garage A would not receive a bonus as the ROCE was below the15% target. The ROCE measure is useful here as it is a relative measure that allowscomparison with other garages.

This year Garage A increased sales revenue by 8% and together with tight control of otheroperating costs, delivered an increase in controllable margin of 6 percentage points.

Garage A appeared to invest in net assets as the net book value of assets increased by$100,000. Despite this increase in net assets, Garage A increased ROCE based on controllableprofit from 14% to 20% in this year. However, including the apportionment of head office fixedoverhead costs, the ROCE in this year is maintained at 14%, a position that would not rewardthe manager with a bonus. ROCE does not encourage the purchase of new assets and canencourage dysfunctional decision making, providing managers with an incentive to keep aging(and possibly inefficient and obsolete) assets.

It appears that Garage A has improved its performance in this year, yet as a result of acquisitionof new assets and the apportionment of head office fixed overhead cost, the manager will notreceive a bonus based on target ROCE.

Last year Garage B generated a ROCE of 16%; a figure in excess of the target and thus the

manager was awarded a bonus.

Sales performance in this yearappears to be strong, an increase of 10% over last year.However, the increase in sales has not been delivered efficiently with other operating costsincreasing significantly resulting in a year on year fall in controllable profit margin of 1percentage point.

Garage B does not appear to have invested in non-current assets, a potential reason why otheroperating costs have increased due to a decrease in machine efficiency and increasedmaintenance costs. This adverse impact on profit has been offset by the reduction in net bookvalue of the non-current assets resulting in a favourable impact on ROCE (based on controllableprofit). This measure of ROCE has increased from 16% last year to 25% this year. Includingthe apportionment of the head office fixed overhead cost, the ROCE is 15%, a position that

would result in a bonus for the manager. The manager has clearly not performed well, yet willstill receive a bonus this year. Given this analysis, ROCE does not appear to be a suitable basisto award bonuses to managers.

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Performance Management 15 May 2014

(c)

Garage A Garage B

$000 $000 $000 $000

20X4 20X3 20X4 20X3

RI (based on net profit) 96 29.5

Imputed interest charge 128 32

RI (based on controllable profit) 187 90 68 47

Imputed interest charge 128 120 32 48

RI can reduce the problem that ROCE perpetuates, of discouraging investment in assets withROCE in excess of the garage’s target but lower than the garage’s current ROCE. RI alsohighlights the cost of financing to garage managers.

However, as RI is an absolute measure it does not facilitate comparison between garages. Theabsolute nature of the performance metric does not relate the value of the assets employed by agarage to the profit generated.

(d)

Benchmarking is a continuous process of measuring an organisation’s services and activitiesagainst those of the best performing organisation. The benchmarking exercise aims to compareperformance with the best in class, identify areas of underperformance and take action toimprove.

The measurement against a set standard at BLR will offer no incentive to improve on this and iscontrary to the TQM ethos. Benchmarking against NKR, a successful competitor company, willbe consistent with the TQM ethos of continuous improvement, provided NKR is the best.

 As NKR is a private company, there may be little publically available information on itsperformance. BLR may also encounter problems in obtaining commercially sensitiveperformance data from NKR. NKR is unlikely to be willing to share data and information on itsprocesses with BLR, a competitor company. 

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DO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

 The Chartered Institute of Management Accountants 2014

   P   2  –   P  e

  r   f  o  r  m  a  n  c  e   M  a  n  a  g

  e  m  e  n   tPerformance Pillar

P2 – Performance Management

Thursday 28 August 2014 

Instruct ion s to candidates

You are allowed three hours to answer this question paper.

You are allowed 20 minutes reading time before the examination begins during which you should read the question paper and, if you wish, makeannotations on the question paper. However, you will not be allowed, underany circumstances, to open the answer book and start writing or use yourcalculator during this reading time.

You are strongly advised to carefully read ALL the question requirementsbefore attempting the question concerned (that is all parts and/or sub-questions).

 ALL answers must be written in the answer book. Answers written on thequestion paper will not be submitted for marking.

You should show all workings as marks are available for the method you use.

 ALL QUESTIONS ARE COMPULSORY.

Section A comprises 5 questions and is on pages 2 to 7.

Section B comprises 2 questions and is on pages 8 to 11.

Maths tables and formulae are provided on pages 15 to 18.

The list of verbs as published in the syllabus is given for reference on page

19.

Write your candidate number, the paper number and examination subject titlein the spaces provided on the front of the answer book. Also write yourcontact ID and name in the space provided in the right hand margin and sealto close.

Tick the appropriate boxes on the front of the answer book to indicate whichquestions you have answered.

TURN OVER

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Performance Management 2 September 2014

SECTION A – 50 MARKS

[You are advised to spend no longer than 18 minutes on each question in thissection.]

 ANSWER ALL FIVE QUESTIONS IN THIS SECTION. EACH QUESTION ISWORTH 10 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question One

QLJ is planning to expand its product range by producing two new products: Product X andProduct Y.

Product X and Product Y will be produced from different combinations of the same resources.Only products X and Y use these resources. Details of the estimated selling price and cost

per unit for each product are shown below:

Product X Product Y$ $

Selling price 229 260Material A ($8 per kg) 40 16Material B ($20 per kg) 20 60Labour ($25 per hour) 75 100Variable overhead ($16 per machine hour) 32 48

The total fixed costs of producing X and Y will be $70,000 per month.

The management accountant at QLJ is in the process of producing a linear programming

model to determine the optimal monthly production plan for the two new products. Themanagement accountant has established that the following resources are available in eachmonth and has produced the following graph (on page 3):

Resources available

Material A 10,150 kgMaterial B 5,500 kgLabour 8,400 hours

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Performance Management 4 September 2014

Question Two

 A company has recently launched a new product. The following information is available forthe first month of production:

Budget Actual Variance

Production volume (units) 300 256 44 ADirect material cost ($) 11,400 10,500 900 FDirect labour cost ($) 15,000 4,000 11,000 FVariable overhead cost ($) 6,000 1,750 4,250 FFixed costs ($) 125,000 115,000 10,000 F

The standard labour cost per unit of $50 that was used to calculate the budgeted labour costwas made up of 2 hours at $25 per hour. However this ignored the impact of a learning curvewhich was expected to apply for the first 300 units produced. The learning rate was expectedto be 90%.

The variable overhead absorption rate is based on direct labour hours.

The actual rate of pay during the month was $25 per labour hour.

Note: The learning index for a 90% learning curve = -0.152.

Required:

(a)

(i) Prepare a performance report for the first month of production taking intoaccount the learning effect.

(4 marks)

(ii) Calculate the labour efficiency planning variance for the first month ofproduction.

(2 marks )  

(b) Calculate the actual rate of learning that occurred during the first month ofproduction assuming that the actual time taken to produce the first unitwas 2 hours. 

(4 marks )  

(Total for Questio n Two = 10 marks)

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September 2014 5 Performance Management

Question Three

JMM is a car manufacturer. It is a relatively new company and the directors are keen toestablish a reputation for high quality. The management of JMM recognises the need toestablish a culture of Total Quality Management (TQM) at the company.

The management accounting team at JMM has collected the following actual information forthe most recent quarter of the current year:

Cost data

$

Customer support centre cost per hour 58

Equipment testing cost per hour 30

Manufacturing rework cost per car 380

Warranty repair cost per car 2,600

Volume and activity data

Cars requiring manufacturing rework 800 cars

Cars requiring warranty repair 650 cars

Customer support centre time 500 hours

Production line equipment testing time 400 hours

Additional information

JMM undertook a quality review of its existing suppliers during the quarter at a cost of$60,000.

Due to the quality issues in the quarter, the car production line experienced periods ofunproductive 'down time' which cost $375,000.

Required:

(a) Produce a Cost of Quality report for JMM using the four recognised qualitycost headings.

(6 marks )  

(b) Explain how a Cost of Quality report would support the development of aTQM culture at JMM.

(4 marks)

(Total for Question Three = 10 marks)

TURN OVER

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Performance Management 6 September 2014

Question Four

TSH provides courses for students who are studying for accountancy examinations. Theaccountancy education sector is extremely competitive; it is dominated by a small number ofnational organisations but there is also a large number of smaller regional training providers.

The majority of TSH students are part-time students and fit their studies around theiremployment. TSH has developed a reputation for understanding its students’ needs anddelivering a high quality service that meets their requirements.

TSH has grown in recent years from a small regional company to a position where it now hascolleges in several of the country’s large cities. The company directors now wish TSH togrow further and have implemented a strategy to achieve the objective of becoming “thelargest accountancy study provider in the country”.

TSH’s board of directors currently uses financial reports to monitor the company’sperformance but are thinking about implementing a Balanced Scorecard approach toperformance management. 

Required:

(a) Explain the disadvantages of using financial performance indicators alone toassess performance. 

(4 marks )  

(b) Explain TWO non-financial performance measures, each from a differentperspective of the Balanced Scorecard, which TSH could use to measure theperformance of the business against the new strategy. (You must state theperspectives that your measures relate to and explain why the measures wouldbe effective.) 

(6 marks)

(Total for Question Four = 10 marks )

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September 2014 7 Performance Management

Question Five

PBB is a toy manufacturer and retailer. PBB sells toys to consumers through its largenetwork of retail outlets in its home country and via the company’s website.

PBB purchases the materials and components that it needs to manufacture toys from anumber of different suppliers. All of the purchases are delivered to PBB’s raw material store atits factory and are held there until they are needed for production.

Finished toys are transported from the factory to PBB’s retail outlets by PBB’s fleet ofvehicles. The vehicles follow the same schedule each week irrespective of the load they arecarrying. Finished toys that are destined for sale via the company’s website are transported toPBB’s distribution centre.

PBB has recently won the contract to manufacture and sell a new toy. The new toy, Toy Z, isa doll based on a character from a very popular international children’s film. PBB is free to setthe selling price of Toy Z as it sees fit, but must pay a royalty fee of 15% of the selling price tothe film company. PBB intends to sell Toy Z through its network of retail outlets.

PBB plans to adopt a target costing approach for Toy Z. Market research has determinedthat the selling price will be $25 per Toy Z. PBB requires a profit margin of 25% of the selling

price of Toy Z.

The forecast costs per Toy Z are:

$Component A 2.15Component B 1.75Other materials see note below for additional informationLabour (0.4 hours at $15 per hour) 6.00Product-specific production overhead cost 1.89Product-specific selling and distribution cost 2.38

Note: Each Toy Z requires 0.6kg of ‘other materials’. These ‘other materials’ are purchasedfrom a supplier at a cost of $4 per kg and 4% of all materials purchased are found to besubstandard.

Required:

(a) Calculate the cost gap that exists between the forecast total cost per unit andthe target cost per unit of Toy Z. 

(3 marks )  

(b) Discuss how PBB could reduce costs in THREE primary activities in its valuechain. 

(7 marks)

(Total for Qu estion Five = 10 marks)  

(Total for Section A = 50 marks)

End of Section A. Section B starts on page 8

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Performance Management 8 September 2014

SECTION B – 50 MARKS

[You are advised to spend no longer than 45 minutes on each question in this section.]

 ANSWER BOTH QUESTIONS IN THIS SECTION. EACH QUESTION IS

WORTH 25 MARKS. YOU SHOULD SHOW YOUR WORKINGS AS MARKS ARE AVAILABLE FOR THE METHOD YOU USE. 

Question Six

PPP is a theme park. The following information is available for the forthcoming month:

Forecast daily ticket sales and prices

Ticketsales

Price perticket

Pre-booked Discounted Ticket 1,500 $29Standard Ticket 8,000 $39Premium Family Ticket(admits 4 people) 675 $185

The theme park will be open for 30 days in the month.

Costs

Variable costs per person per day are forecast to be $12.50.

Fixed costs for the month are forecast to be $6,500,000.

Pricing information

The sales of pre-booked discounted tickets and standard tickets will be restricted to 1,500 and8,000 per day respectively for the forthcoming month. It is forecast that all of these tickets willbe sold.

 A Premium Family Ticket admits four people to the theme park and allows them to go to thefront of the queues in the theme park. The price of a Premium Family Ticket has been set at$185 in order to maximise the profit from the sale of these tickets for the month. Marketinformation shows that for every $5 increase in the selling price of a Premium Family Ticketthe demand would reduce by 25 tickets, and that for every $5 decrease in the selling price thedemand would increase by 25 tickets.

The theme park has adequate capacity to accommodate any level of demand for PremiumFamily Tickets. It is to be assumed that four people would always be admitted on every

Premium Family Ticket sold.Sales of the different ticket types are independent of each other.

Equipment hire

PPP is considering hiring some automated ticket reading equipment for the forthcomingmonth. The hire of this equipment would increase fixed costs by $250,000 for the month.However, variable costs per person would be reduced by 8% during the period of the hire.

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September 2014 9 Performance Management

Required:

(a) Calculate the financial benefit of hiring the equipment for the forthcoming monthgiven its impact on variable cost and therefore the price charged for Premium Family

Tickets.Note: If P = a - bx then MR = a - 2bx

(13 marks)

It has now been realised that a competing theme park is planning to offer discountedticket prices during the forthcoming months. It is thought that this will reduce thedemand for PPP’s Standard Tickets. PPP will not be able to reduce the price of theStandard Tickets for the forthcoming month.

(b) Discuss the sensitivity of the decision to hire the equipment to a change in thenumber of Standard Tickets sold per day. (Note: your answer should include

the calculation of the sensitivity).  (4 marks)

PPP produces an annual budget. The annual budget includes details of budgeted ticket salesvolumes, revenues and costs for each month. Each month PPP compares actualperformance against the budget for that month.

 At the start of every month, PPP conducts a review of its competitors to produce a revisedforecast for ticket sales. This revised sales forecast is used to devise pricing policies andpromotional campaigns to ensure that budgeted targets are met.

Required:

(c) Compare and contrast the use of feedforward control and feedback control, usingthe information given above about PPP to illustrate your answer. 

(8 marks )  

(Total for Questio n Six = 25 marks)  

Section B continues on the next page

TURN OVER

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Performance Management 10 September 2014

Question Seven

MNP is a divisionalised organisation. Some of the divisions are in overseas countries.Divisional performance is assessed by the trend in the Return on Capital Employed (ROCE)and the Residual Income (RI) generated by each division based on their year-end values.

The following summary financial information is available for Division M:

Year ending 31st August 2014 2013 2012$000 $000 $000

Revenue 6,450 6,200 6,000Direct costs 1,070 1,040Gross profit

1,0005,380 5,160 5,000

Other operating costs 3,350 3,600Operating profit

3,8002,030 1,560

Capital employed as at the year end1,200

3,200 4,000 5,000

MNP has a cost of capital of 5% per annum.

The figures shown above for the capital employed are the net book values of the division’snon-current assets.

Other operating costs include depreciation.

There have been no additions or disposals of non-current assets within Division M during thethree year period. No additions or disposals are expected in 2015.

For the year ending 31 August 2015 it is expected that the revenues and costs (excludingdepreciation) will be the same as those in 2014.

Required:

(a) Calculate for Division M the Return on Capital Employed (ROCE) and theResidual Income (RI) for: 

(i) 2014(ii) 2015

(4 marks)

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September 2014 11 Performance Management

The board of directors of MNP have identified what they believe is a profitable project. Theproject would require a capital investment of $2,000,000. The details of the project are asfollows: 

The new assets would be depreciated in the same way as all other assets in MNP. At the endof the project the new assets would have no resale value.

The board of MNP have suggested that Division M should undertake the project but themanager of Division M is reluctant to do so. 

Required:

(b) Calculate the forecast ROCE and RI for Division M for the year ending 31 August

2015 if the project is undertaken by Division M. (Assume that the project started on1 September 2014). 

(6 marks)

(c) Discuss, using appropriate calculations based on the above scenario, why the useof ROCE and RI as performance measures can cause incorrect capital investmentdecisions to be taken. 

(8 marks)

The project would enable MNP to produce components that could be used by several of thedivisions in the manufacture of their products. However the Board are aware that the setting

of international transfer prices can be problematic and that transfer prices can be disputed bytaxation authorities. 

(d) Explain how international transfer prices should be set to avoid taxation disputes.(Your answer should explain each of the three acceptable methods.) 

(7 marks)

(Total for Questio n Seven = 25 marks )  

(Total for Sectio n B = 50 marks)

End of question paper

Maths tables and formulae are on pages 15 to 18

 Annual revenue $750,000 Annual costs (excluding depreciation) $225,000

Non-current assets $2,000,000Life of the project 5 years

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Performance Management 12 September 2014

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Performance Management 14 September 2014

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September 2014 15 Performance Management

PRESENT VALUE TABLE

Present value of 1 unit of currency, that is ( )   nr   −

+1  where r  = interest rate; n = number of

periods until payment or receipt. 

Periods(n)

Interest rates (r) 1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.8263 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.7514 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.6835 0.951 0.906 0.863 0.822 0.784 0.747 0.713 0.681 0.650 0.6216 0.942 0.888 0.837 0.790 0.746 0705 0.666 0.630 0.596 0.5647 0.933 0.871 0.813 0.760 0.711 0.665 0.623 0.583 0.547 0.5138 0.923 0.853 0.789 0.731 0.677 0.627 0.582 0.540 0.502 0.4679 0.914 0.837 0.766 0.703 0.645 0.592 0.544 0.500 0.460 0.424

10 0.905 0.820 0.744 0.676 0.614 0.558 0.508 0.463 0.422 0.38611 0.896 0.804 0.722 0.650 0.585 0.527 0.475 0.429 0.388 0.35012 0.887 0.788 0.701 0.625 0.557 0.497 0.444 0.397 0.356 0.31913 0.879 0.773 0.681 0.601 0.530 0.469 0.415 0.368 0.326 0.290

14 0.870 0.758 0.661 0.577 0.505 0.442 0.388 0.340 0.299 0.26315 0.861 0.743 0.642 0.555 0.481 0.417 0.362 0.315 0.275 0.23916 0.853 0.728 0.623 0.534 0.458 0.394 0.339 0.292 0.252 0.21817 0.844 0.714 0.605 0.513 0.436 0.371 0.317 0.270 0.231 0.19818 0.836 0.700 0.587 0.494 0.416 0.350 0.296 0.250 0.212 0.18019 0.828 0.686 0.570 0.475 0.396 0.331 0.277 0.232 0.194 0.16420 0.820 0.673 0.554 0.456 0.377 0.312 0.258 0.215 0.178 0.149

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 0.812 0.797 0.783 0.769 0.756 0.743 0.731 0.718 0.706 0.6943 0.731 0.712 0.693 0.675 0.658 0.641 0.624 0.609 0.593 0.5794 0.659 0.636 0.613 0.592 0.572 0.552 0.534 0.516 0.499 0.4825 0.593 0.567 0.543 0.519 0.497 0.476 0.456 0.437 0.419 0.402

6 0.535 0.507 0.480 0.456 0.432 0.410 0.390 0.370 0.352 0.3357 0.482 0.452 0.425 0.400 0.376 0.354 0.333 0.314 0.296 0.2798 0.434 0.404 0.376 0.351 0.327 0.305 0.285 0.266 0.249 0.2339 0.391 0.361 0.333 0.308 0.284 0.263 0.243 0.225 0.209 0.194

10 0.352 0.322 0.295 0.270 0.247 0.227 0.208 0.191 0.176 0.16211 0.317 0.287 0.261 0.237 0.215 0.195 0.178 0.162 0.148 0.13512 0.286 0.257 0.231 0.208 0.187 0.168 0.152 0.137 0.124 0.11213 0.258 0.229 0.204 0.182 0.163 0.145 0.130 0.116 0.104 0.09314 0.232 0.205 0.181 0.160 0.141 0.125 0.111 0.099 0.088 0.07815 0.209 0.183 0.160 0.140 0.123 0.108 0.095 0.084 0.079 0.06516 0.188 0.163 0.141 0.123 0.107 0.093 0.081 0.071 0.062 0.05417 0.170 0.146 0.125 0.108 0.093 0.080 0.069 0.060 0.052 0.04518 0.153 0.130 0.111 0.095 0.081 0.069 0.059 0.051 0.044 0.03819 0.138 0.116 0.098 0.083 0.070 0.060 0.051 0.043 0.037 0.03120 0.124 0.104 0.087 0.073 0.061 0.051 0.043 0.037 0.031 0.026

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Performance Management 16 September 2014

Cumulative present value of 1 unit of currency per annum, Receivable or Payable at the end of

each year for n years r 

r   n−+− )(11

 

Periods(n)

Interest rates (r )1% 2% 3% 4% 5% 6% 7% 8% 9% 10%

1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.9092 1.970 1.942 1.913 1.886 1.859 1.833 1.808 1.783 1.759 1.7363 2.941 2.884 2.829 2.775 2.723 2.673 2.624 2.577 2.531 2.4874 3.902 3.808 3.717 3.630 3.546 3.465 3.387 3.312 3.240 3.1705 4.853 4.713 4.580 4.452 4.329 4.212 4.100 3.993 3.890 3.791

6 5.795 5.601 5.417 5.242 5.076 4.917 4.767 4.623 4.486 4.3557 6.728 6.472 6.230 6.002 5.786 5.582 5.389 5.206 5.033 4.8688 7.652 7.325 7.020 6.733 6.463 6.210 5.971 5.747 5.535 5.3359 8.566 8.162 7.786 7.435 7.108 6.802 6.515 6.247 5.995 5.759

10 9.471 8.983 8.530 8.111 7.722 7.360 7.024 6.710 6.418 6.145

11 10.368 9.787 9.253 8.760 8.306 7.887 7.499 7.139 6.805 6.49512 11.255 10.575 9.954 9.385 8.863 8.384 7.943 7.536 7.161 6.81413 12.134 11.348 10.635 9.986 9.394 8.853 8.358 7.904 7.487 7.10314 13.004 12.106 11.296 10.563 9.899 9.295 8.745 8.244 7.786 7.36715 13.865 12.849 11.938 11.118 10.380 9.712 9.108 8.559 8.061 7.606

16 14.718 13.578 12.561 11.652 10.838 10.106 9.447 8.851 8.313 7.82417 15.562 14.292 13.166 12.166 11.274 10.477 9.763 9.122 8.544 8.02218 16.398 14.992 13.754 12.659 11.690 10.828 10.059 9.372 8.756 8.20119 17.226 15.679 14.324 13.134 12.085 11.158 10.336 9.604 8.950 8.36520 18.046 16.351 14.878 13.590 12.462 11.470 10.594 9.818 9.129 8.514

Periods(n)

Interest rates (r) 11% 12% 13% 14% 15% 16% 17% 18% 19% 20%

1 0.901 0.893 0.885 0.877 0.870 0.862 0.855 0.847 0.840 0.8332 1.713 1.690 1.668 1.647 1.626 1.605 1.585 1.566 1.547 1.5283 2.444 2.402 2.361 2.322 2.283 2.246 2.210 2.174 2.140 2.1064 3.102 3.037 2.974 2.914 2.855 2.798 2.743 2.690 2.639 2.5895 3.696 3.605 3.517 3.433 3.352 3.274 3.199 3.127 3.058 2.991

6 4.231 4.111 3.998 3.889 3.784 3.685 3.589 3.498 3.410 3.3267 4.712 4.564 4.423 4.288 4.160 4.039 3.922 3.812 3.706 3.605

8 5.146 4.968 4.799 4.639 4.487 4.344 4.207 4.078 3.954 3.8379 5.537 5.328 5.132 4.946 4.772 4.607 4.451 4.303 4.163 4.03110 5.889 5.650 5.426 5.216 5.019 4.833 4.659 4.494 4.339 4.192

11 6.207 5.938 5.687 5.453 5.234 5.029 4.836 4.656 4.486 4.32712 6.492 6.194 5.918 5.660 5.421 5.197 4.988 4.793 4.611 4.43913 6.750 6.424 6.122 5.842 5.583 5.342 5.118 4.910 4.715 4.53314 6.982 6.628 6.302 6.002 5.724 5.468 5.229 5.008 4.802 4.61115 7.191 6.811 6.462 6.142 5.847 5.575 5.324 5.092 4.876 4.675

16 7.379 6.974 6.604 6.265 5.954 5.668 5.405 5.162 4.938 4.73017 7.549 7.120 6.729 6.373 6.047 5.749 5.475 5.222 4.990 4.77518 7.702 7.250 6.840 6.467 6.128 5.818 5.534 5.273 5.033 4.81219 7.839 7.366 6.938 6.550 6.198 5.877 5.584 5.316 5.070 4.84320 7.963 7.469 7.025 6.623 6.259 5.929 5.628 5.353 5.101 4.870

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September 2014 17 Performance Management

FORMULAE 

PROBABILITY

 A ∪B = A or  B . A ∩  B = A and B  (overlap).P(B | A) = probability of B, given  A.

Rules of AdditionIf A and B are mutually exclusive: P(A ∪B) = P(A) + P (B) If A and B are not mutually exclusive: P(A ∪B) = P(A) + P (B) – P(A ∩  B) 

Rules of Multiplication

If A and B are independent :  P(A ∩B) = P(A) * P (B) If A and B are not independent :  P(A ∩B) = P(A) * P(B | A) 

E(X) = ∑ (probability * payoff)

DESCRIPTIVE STATISTICS

 Arithmetic Mean

n

 x  x 

  ∑=  

fx  x 

∑=   (frequency distribution)

Standard Deviation

n

 x  x SD

2)(   −∑=   2

2

xf 

fxSD   −

∑=  (frequency distribution)

INDEX NUMBERS

Price relative = 100 * P 1 /P 0   Quantity relative = 100 * Q1 /Q0  

Price: 100xw

P

Pw

o

1

 

  

 ∗∑

 

Quantity: 100x

1

Q

Qw 

o

 

  

 ∗∑

 

TIME SERIES

 Additive ModelSeries = Trend + Seasonal + Random

Multiplicative ModelSeries = Trend * Seasonal * Random

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Performance Management 18 September 2014

FINANCIAL MATHEMATICS

Compound Interest (Values and Sums)Future Value S, of a sum of X , invested for n periods, compounded at r % interest

S = X [1 + r]n 

Annuity

Present value of an annuity of £1 per annum receivable or payable for n years, commencing in oneyear, discounted at r % per annum:

PV =

+−

nr r  ]1[

11

Perpetuity

Present value of £1 per annum, payable or receivable in perpetuity, commencing in one year,discounted at r % per annum:

PV =r 

LEARNING CURVE

Y  x  = aX b

where:Y  x  = the cumulative average time per unit to produce X units;a = the time required to produce the first unit of output;

 X  = the cumulative number of units;b = the index of learning.

The exponent b is defined as the log of the learning curve improvement rate divided by log 2.

INVENTORY MANAGEMENT 

Economic Order Quantity

EOQ =h

o

C

D2C 

where: Co  = cost of placing an orderCh  = cost of holding one unit in inventory for one yearD = annual demand

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September 2014 19 Performance Management

LIST OF VERBS USED IN THE QUESTION REQUIREMENTS

 A list of the learning objectives and verbs that appear in the syllabus and in the question requirements for

each question in this paper.

It is important that you answer the question according to the definition of the verb.  

LEARNING OBJECTIVE VERBS USED DEFINITION

Level 1 - KNOWLEDGE

What you are expected to know. List Make a list of

State Express, fully or clearly, the details/facts of

Define Give the exact meaning of

Level 2 - COMPREHENSION

What you are expected to understand. Describe Communicate the key features

Distinguish Highlight the differences between

Explain Make clear or intelligible/State the meaning or

purpose of

Identify Recognise, establish or select after

consideration

Illustrate Use an example to describe or explainsomething

Level 3 - APPLICATION

How you are expected to apply your knowledge. Apply

Calculate

Put to practical use

 Ascertain or reckon mathematically

Demonstrate Prove with certainty or to exhibit by

practical means

Prepare Make or get ready for use

Reconcile Make or prove consistent/compatible

Solve Find an answer to

Tabulate Arrange in a table

Level 4 - ANALYSIS

How are you expected to analyse the detail of

what you have learned.

 Analyse

Categorise

Examine in detail the structure of

Place into a defined class or division

Compare and contrast Show the similarities and/or differencesbetween

Construct Build up or compile

Discuss Examine in detail by argument

Interpret

Prioritise

Translate into intelligible or familiar terms

Place in order of priority or sequence for action

Produce Create or bring into existence

Level 5 - EVALUATION

How are you expected to use your learning to

evaluate, make decisions or recommendations.

 Advise

Evaluate

Recommend

Counsel, inform or notify

 Appraise or assess the value of

 Advise on a course of action

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Performance Management 20 September 2014

Performance Pillar

Management Level Paper

P2 – Performance Management

September 2014

Thursday

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 The Chartered Institute of Management Accountants 2014

Management Level Paper

P2 – Performance ManagementSeptember 2014 examination

Examiner’s Answers

Note: Some of the answers that follow are fuller and more comprehensive than would beexpected from a well-prepared candidate. They have been written in this way to aid teaching,

study and revision for tutors and candidates alike.

These Examiner’s answers should be reviewed alongside the question paper for thisexamination which is now available on the CIMA website at www.cimaglobal.com/p2papers 

The Post Exam Guide for this examination, which includes the marking guide for eachquestion, will be published on the CIMA website by early October atwww.cimaglobal.com/P2PEGS 

SECTION A 

Answer to Question One

Rationale

The question examines candidates’ knowledge, understanding and application of linearprogramming.The learning outcomes tested are:Part (a) A2(b), interpret variable/fixed cost analysis in multiple product contexts to break-even

analysis and product mix decision making, including circumstances where there are multipleconstraints and linear programming methods are needed to identify ‘optimal’ solutions.Part (b) A2(c), discuss the meaning of ‘optimal’ solutions and how linear programmingmethods can be employed for profit maximising, revenue maximising and satisfyingobjectives.

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Performance Management 2 September 2014

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates were required to interpret the graph given tofind the optimal solution given the slope of the iso-profit line. Candidates then needed to use

the formulae for the two lines that intersect at the optimal point and determine usingsimultaneous equations the production plan.In part (b) candidates were required to apply their knowledge of graphical solutions to

determine the impact of a change of selling price for Product X.

(a)

The optimal solution can be found using the iso-contribution line at point C of the feasibleregion, at the intersection of the ‘Labour’ and ‘Material A’ resource constraint lines.Material A: 5x + 2y = 10,150 -- equation 1Labour: 3x + 4y = 8,400 -- equation 2Multiply equation 1 by 2 to give equation 3

10x + 4y = 20,300 – equation 3Equation 3 minus equation 2 gives:

7x = 11,900x = 1,700

Substitute into equation 2.5,100 + 4y = 8,4004y = 3,300y = 825Contribution = 62x + 36yContribution $135,100Fixed costsProfit $65,100

($70,000)

(b)

If the optimum moved to Point B the gradient of the iso-contribution line would be the same asthat of the labour constraint line.The gradient of the labour constraint line is given by 3x and 4y. Therefore if the contributionfrom Y is $36 the contribution from X would have to be $27 for the contributions to be in theratio 3X:4Y.The current contribution from X is $62 per unit and therefore the minimum change in theselling price of Product X needed to move the optimum plan to Point B is a decrease of $35per unit.

Note: an alternative method of calculating the answer is to calculate the production plan at

Point B (640 X and 1620 Y) and equating the contribution from that plan with what would beearned at Point C (keeping the selling price of Y constant).

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September 2014 3 Performance Management

Answer to Question Two

Rationale

The question examines candidates’ knowledge and understanding of flexible budgets and the

learning curve.The learning outcomes tested are:Part (a) C2(c), evaluate performance using fixed and flexible budget reports.Part (b) B1(e), apply learning curves to estimate time and cost for new products and services.

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the time required toproduce 256 units before using this information to prepare a flexible budget and revisedperformance report. In the second part of the question candidates then needed to calculatelabour efficiency planning variance.

In part (b) candidates needed to ascertain that direct the labour cost was $4,000 and thelabour time of 160 hours before then working out an average time per unit. This figure shouldthen be used to find the eighth root of the proportion that the average labour time per unit for256 units is compared to that for the first unit.

(a)

(i)Performance report for the first month of production

Original

budget

Revised budget Actual Variance

Production volume (units) 300 256 256 44 A$ $  $  $ 

Direct material cost 11,400 9,728 10,500 772 ADirect labour cost 15,000 5,510 4,000 1,510 FVariable overhead cost 6,000 2,204 1,750 454 FFixed costs 125,000 125,000 115,000Total

10,000 F157,400 142,442 131,250 11,192 F

Budgeted production time was expected to take:

y = ax a = 2

b

 x = 256

b = -0.152

 Average time for first 256 units = 0.861 hours

Total time for 256 units = 220.416 hours

(ii)

256 units x 2 hours (original standard) 512 hours

256 units at the revised standard 220.416 hours

291.584 hours

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Performance Management 4 September 2014

Standard labour cost per hour $25

Labour efficiency planning variance $7,290 favourable

(b)

 Actual direct labour cost $4,000 Actual direct labour time 160 hours (divide by $25 per hour) Average time for 256 units 0.625 (divide by 256)% of original average 31.25Learning rate 86.5% Take the eighth root of .3125

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September 2014 5 Performance Management

Answer to Question Three

Rationale

The question examines candidates’ knowledge and understanding of cost of quality reports.

The learning outcomes tested is B1(d), prepare cost of quality reports.

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate the quality cost impact ofthe various issues detailed in the scenario and then prepare a cost of quality report allocatingthe calculated costs under the appropriate headings.In part (b) candidates were required to explain the role of the cost of quality report indeveloping a TQM culture at JMM. Candidates needed to explain the specific ways in whichthe cost of quality report could be used to support a TQM culture.

(a)

Cost of Quality Report 

Volume Rate Cost

$ $

Prevention costs

Supplier review 60,000

Appraisal costs

Equipment testing 400 30 12,000

Internal failure costs

Down time 375,000

Manufacturing rework 800 380 304,000

Total internal failure costs 679,000

External failure costs

Customer support 500 58 29,000Warranty repair 650 2,600 1,690,000

Total external failure costs 1,719,000

Total quality costs 2,470,000

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Performance Management 6 September 2014

(b)

 A Total Quality Management (TQM) culture is one where all departments and staff arecommitted to a process of continuous improvement. The aim is to achieve a zero defectposition where products are delivered on a consistently high quality basis and the focus of theorganisation is on improving processes to attain this state.

The reporting of quality costs highlights the cost of quality activities at JMM. Highlightingquality activities and reporting on money spent on quality failures goes to reinforce the TQMethos. The cost of quality report can also clearly display the relationship betweenconformance costs (prevention and appraisal costs) and non-conformance costs (internalfailure and external failure costs) and the drivers of a reduction in the overall spending onquality. JMM has a significantly higher spend on non-conformance costs than conformancecosts. JMM should increase prevention and detection activities in order to try and reduce thespend on non-conformance costs. High levels of non-conformance costs also carry the risk ofdamaging the reputation of JMM and could seriously impact the future viability of thecompany as a high quality car manufacturer. This emphasis and measurement of qualitycosts will ensure staff are focussed on appropriate indicators to embed the TQM culture.

In order for TQM to be successful, all staff at JMM must be engaged in the improvementprocess and share in the continuous improvement ethos. As displayed by the disparitybetween conformance costs and non-conformance costs, JMM is not a TQM company atpresent. In order to establish a reputation as a high quality car manufacturer JMM mustensure staff are focussed on quality and attitudes changed toward the importance ofconformance activities. A cost of quality report communicates this vision to all staff andplaces the focus on quality. The cost of quality report is therefore a vehicle forcommunicating and facilitating the change in the corporate culture. 

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September 2014 7 Performance Management

Answer to Question Four

Rationale

The question examines candidates’ knowledge and understanding of the non-financial

perspectives of the balanced scorecard.

The learning outcome tested is:C3(b), discuss the role of non-financial performance indicators.

Suggested Approach

Candidates needed to read the question carefully and understand the context in which thisquestion is set. In part (a) candidates needed to provide a reasoned explanation of theshortcomings of using financial performance indicators alone to assess the performance of anorganisation.

In part (b) suitable performance measures were required for each of two perspectives.Candidates needed to ensure their chosen measure was aligned to the objectives of theorganisation and explain their choices of measure.

(a)

Financial performance indicators are ‘lag’ indicators. The financial impact, in terms of salesrevenue or profitability, of a decision taken at an organisation will be reported some time afterthat decision has been made.

Many financial performance indicators provide little insight into the business as they could be

said to be the product of decisions made and actions taken possibly long before the period inwhich they are reported and/or considered. They provide very little linkage to the strategy ofthe business and may invoke ‘short termism’ and overlook motivation, quality, efficiency andother drivers of success.

Financial performance indicators are vulnerable to manipulation and to the choice ofaccounting policies (such as depreciation and inventory valuation). 

(b)

Customer perspective: The primary purpose of the training courses that TSH provides is tohelp students pass their examination papers. Student examination pass rate is a keymeasure that will attract and retain students. Students passing exams will result in those

students continuing their professional education with that college. Students passing examswill also generate advocates for that college as successful students tell their friends andcolleagues about their experience. This in turn will attract further students to the college, thusdelivering on TSH’s stated strategic objective.

Learning and growth perspective: The success of new innovations in teaching and learning atTSH is a determinant of student satisfaction and exam success. If students are finding thesenew learning resources valuable this will likely lead to an increase in the effectiveness of thelearning delivery at TSH and in turn the students’ satisfaction with their experience. Ameasure to assess the success of the new innovations introduced by TSH is the number oftimes a student has logged in to their account and used the software provided.

Note: measures from two perspectives were required. Answers did not have to be from the

perspectives used above. 

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Performance Management 8 September 2014

Answer to Question Five

Rationale

The question examines candidates’ knowledge, understanding and application of target

costing and the value chain.The learning outcomes tested are:Part (a) B1(h), explain how target costs can be derived from target prices and the relationshipbetween target costs and standard costs.Part (b) B1(j), discuss the concept of the value chain and the management ofcontribution/profit generated throughout the chain.

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates needed to calculate a target cost and thenwork through the information in the scenario to produce a forecast cost before calculating the

cost gap.In part (b) candidates were required to discuss how PBB could reduce costs in three primaryactivities in its value chain. Candidates were required to provide specific examples directlyrelated to the scenario of how costs could be reduced. A discussion was required of theprimary activity in the value chain where cost savings could be made, along with the relatedcost saving initiative.

(a)

$

Sales price 25.00

25% profit margin 6.25

Target cost 18.75

$ Working

Component A 2.15

Component B 1.75

Materials 2.50 1

Labour (0.4 hours at $15 per hour) 6.00

Production overhead cost 1.89

Distribution and sales cost2.38

Royalty fee 3.75 2

Forecast cost 20.42

Cost gap 1.67

Workings

1. 0.6kg x $4 per kg = $2.40

$2.40 x (1/0.96) = $2.50

2. $25 x 0.15 = $3.75

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September 2014 9 Performance Management

(b)

Inbound logistics

The receipt and storage of components and materials from suppliers are Inbound Logisticsactivities in PBB’s value chain. PBB currently purchases components and materials from a

number of suppliers and stores these in a raw materials store. Switching to a just-in-time(JIT) system of purchasing could potentially save significant storage costs. The JIT suppliermust take the responsibility for the quality of products supplied, This could also potentiallyprovide a source of savings as substandard items are removed. However, this should becontrasted with the premium PBB may expect to pay to a supplier that is willing to establishthe close relationship required for JIT purchasing to work.

Outbound logistics

Scheduled deliveries of toys to retail outlets are outbound logistics activities at PBB. Thescheduled transportation of toys each week is potentially an inefficient method of providingproducts to retail outlets. The scheduled deliveries do not take into consideration toyrequirements at retail outlets thus PBB is potentially delivering to retail outlets that do not

require toys and incurring excessive transportation costs. An ERP system is likely to deliverlonger term efficiencies at PBB.

Marketing and sales

 At PBB, this includes the sale of Toy Z through its network of retail outlets. Cost couldpotentially be reduced by offering the toy for sale via the PBB website. As well as costsavings this could potentially deliver higher revenues. The internet sales channel couldpotentially attract international customers to the merchandise from the international hitchildren’s film. 

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Performance Management 10 September 2014

SECTION B 

Answer to Question Six

Rationale

The question examines candidates’ knowledge, understanding and application of pricingbased on profit maximisation in imperfect markets and feedforward control and feedbackcontrol.The learning outcomes tested are:Part (a): A3(a) apply an approach to pricing based on profit maximisation in imperfectmarkets.Part (b): A2(d), analyse the impact of uncertainty and risk on decision models based on CVPanalysis. Part (c): C1(a), explain the concepts of feedback and feed-forward control and theirapplication in the use of budgets for planning and control.

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates were required to apply their knowledge of theprofit maximisation model in order to calculate the maximum total profit possible givenchanges to the variable costs and fixed costs. Candidates needed to identify the variable costof a four person Premium Family Ticket, i.e. 4 x $11.50, to correctly calculate the contribution-maximising ticket price. The maximum possible contribution and the relevant fixed costshould then be compared to the current contribution to determine if the machine should behired or not.

In part (b) candidates were required to discuss the sensitivity of their recommendation in part(a) to a change in the number of Standard Tickets sold per day. Candidates were required tocalculate the sensitivity and discuss the implications of the result for PPP. The discussionelement of the requirement needed to be specific to PPP.

In part (c) candidates were required to compare and contrast the use of feedforward controland feedback control in relation to the budgetary process of PPP.

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September 2014 11 Performance Management

(a)

Calculation of current profit

Ticket type Pre-booked Standard Premium Family

Persons per ticket 1 1 4

Price per ticket $ 29 39 185

Number of tickets 1,500 8,000 675

Days in the month 30 30 30

Revenue $ 1,305,000 9,360,000 3,746,250

Variable costs $ 562,500 3,000,000 1,012,500

Contribution $ 742,500 6,360,000 2,733,750

$

Total contribution 9,836,250

Fixed costs (6,500,000)

Total profit 3,336,250

If equipment is hired:

Variable cost $12.50 x 0.92 = $11.50 per personFixed costs $6,500,000 + $250,000 = $6,750,000

p = a -bx

MR = a - 2bx

MC = 46.00 (11.50 x 4) p = 185

x = 675

X = 685.00

Change in p 5.00

P = 183.00 Change in x 25

Therefore

b = 0.2

a = 320

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Performance Management 12 September 2014

Pre-booked StandardPremium

Family

Persons per ticket 1 1 4

Price per ticket $ 29 39 183Number of tickets 1,500 8,000 685

Days in the month 30 30 30

Revenue $ 1,305,000 9,360,000 3,760,650

Variable costs $ 517,500 2,760,000 945,300

Contribution $ 787,500 6,600,000 2,815,350

$

Total contribution 10,202,850Fixed costs (6,750,000)

Total profit 3,452,850

Profit is expected to increase by $116,600.

 Alternative method:

$Original contribution from Premium Family Tickets 2,733,750Revised contribution from Premium Family TicketsIncreased contribution from Premium Family Tickets

2,815,35081,600

Reduced variable costs on other tickets 3,562,500 x 8% 285,000Hire feeNet benefit

-250,000116,600

(b)

Change in profit required $116,600

Contribution per Standard ticket

($39 - $11.50) $27.50

Number of Standard tickets 4,240

($116,600 / $27.50)

Reduction in tickets per day 141.33

(4,240 / 30)

Sensitivity (141.33/8,000) 1.8%

Sales of Standard Tickets would have to fall by 1.8% for each day of the month for thedecision to hire the equipment to change. The management of PPP expected to sell 8,000

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September 2014 13 Performance Management

Standard Tickets per day before the competitor’s action; a reduction of only 1.8% is probable.Unexpected changes in the weather along with many other factors could potentially cause adrop in sales of tickets. The management of PPP should also consider the assumptions thatthe demand forecasts are based on and the impact on the customer experience of hiring themachine before taking the decision. 

(c) 

Feedback control involves the comparison of actual results against an expected position.Where there is difference between the actual and expected position the variance isinvestigated. The information provided by the feedback control enables further action to betaken and therefore a modification in subsequent periods to achieve the required results.

 At PPP, the comparison of actual results against the budget set at the start of the year is anexample of feedback control. Feedback is reactionary and is based on historical data.

Feedforward control uses a latest forecast of results to compare to a required position. Thelatest expectation is usually generated in the light of information that was not available at the

time the original plan was set. This differs from feedback control because the latest forecast isan estimation of future results and its aim is to proactively anticipate any issues.

The comparison of the latest forecast position with the required position is an example offeedforward control at PPP. The latest demand information is based on different assumptionsthan those used in the original plan and as such PPP will pre-empt the impact of thesechanges by assessing variances between the forecast and the required position.

Feedback control compares an actual position to a plan and bases the change to futureactions on the information underlying the difference. However, the reasons for the differencesexperienced in the past may not be a determinant for future results. Feedforward controlcompares a latest forecast to a required position. This differs from feedback in that the latestforecast comparator can be a changing position rather than the static actual or budget.

However, in order for the latest assumptions incorporated into the forecast to be valid theyshould be continually updated to ensure the integrity of the feedforward control.

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Performance Management 14 September 2014

Answer to Question Seven

Rationale

The question examines candidates’ knowledge, understanding and application of alternative

measures of performance for responsibility centres in the context of a professional servicesorganisation, and international transfer pricing.The learning outcomes tested are:Part (a) and (b): D2(b), discuss revenue and cost information in appropriate formats for profitand investment centre managers, taking due account of cost variability, attributable costs,controllable costs and identification of appropriate measures of profit centre ‘contribution’;Part (c): D2(c), discuss alternative measures of performance for responsibility centres. Part (d): D3(d), discuss in principle the potential tax and currency managementconsequences of international transfer pricing policy . 

Suggested Approach

Candidates needed to carefully read the question and use the information to relate theiranswers to the scenario. In part (a) candidates were required to calculate the ROCE and RIfor Division M for two years. Candidates needed to produce forecast figures for the secondyear.

In part (b) candidates needed to apply their knowledge of Return on Investment (ROI) andResidual Income (RI) metrics to perform calculations based on revised figures as a result of acapital investment opportunity.

In part (c) candidates needed to apply their knowledge of capital investment decisions andthe possible conflict with performance measures. Candidates needed to be aware of thebehavioural consequences of using ROCE and RI to assess performance.

In part (d) candidates were required to apply their knowledge of international transfer pricingand the methods of pricing acceptable to taxation authorities.

(a)

2014

ROCE = 2,030 / 3,200 = 63.4%RI = 2,030,000 – (3,200,000 x 5%) = $1,870,000

2015

$’000Gross profit 5,380Other operating costs 3,190 3,350-(4,000 x 20%)+(3,200 x 20%)Operating profit 2,190

Capital employed 2,560

ROCE = 2,190/2,560 = 85.5%RI = 2,190 – (2,560 x 5%) = $2,062,000

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September 2014 15 Performance Management

(b) 

If Division M were to undertake the project, the incremental impact would be:

$’000Revenue 750

Costs 625 225 + (2,000 x 20%)Operating profit 125

Capital employed 1,600 2,000 – (2,000 x 20%)

This would result in the following calculations for the performance metrics for 2015:ROCE = (2,190 + 125) / (2,560 + 1,600) = 55.6%RI = 2,315 – (4,160 x 5%) = $2,107,000 

(c)

 Assessing performance on ROCE alone could potentially lead to dysfunctional decisionsbeing taken by divisional managers. Division M would continue to increase its ROCE in 2015had the investment not been made. This is due to Division M generating the same level ofprofit as in 2014 but from a lower asset base (the asset base will have had a further year ofdepreciation). RI offers no further insight in this case. As with ROCE, it suggests that DivisionM has improved its performance in 2015.

By undertaking the new project, Division M will earn an additional $45,000 of residual incomesignalling the value of the expansion to Division M and MNP. Conversely, the ROCE fallsfrom 63.4% in 2014 to 55.6% in 2015 when the expansion project is included in the forecastresults. In this specific example, RI would motivate the Divisional manager to undertake theproject but this might not always be the case.

RI is an absolute measure and therefore does not facilitate comparison of the performance ofthe separate divisions by MNP. RI and ROCE both suffer from using historical accountingfigures. The use of historic financial information is unlikely to enlighten MNP as to theunderlying drivers of performance and it would be useful to include a range of non-financialperformance indicators as lead indicators of future financial performance.

Capital investment opportunities should be appraised using Net Present Value. The NPV ofthe project is calculated as: 

$ Annual cash inflow 750,000 Annual cash outflowNet annual cash inflow

225,000525,000

5 year annuity factor @ 5% 4.329Present value of cash inflows 2,272,725Capital investmentNet present value

2,000,000272,725

The net present value of the project is positive and therefore the project should beundertaken. The impact of the project on a division’s ROCE or RI should not be part of thedecision criteria.

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(d) 

International transfer prices should be based on the “arm’s length” price principle. An arm’slength price is one that would have been arrived at by two unrelated companies actingindependently. There are three methods that the tax authorities would accept:

1. The comparable uncontrolled price method (which uses externally verified prices ofsimilar transactions involving unrelated companies)