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Cost
Accounting
Level 3




Model Answers
Series 4 2007 (Code 3016)
Vision Statement
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Cost Accounting Level 3
Series 4 2007




                                      How to use this booklet

Model Answers have been developed by Education Development International plc (EDI) to offer
additional information and guidance to Centres, teachers and candidates as they prepare for LCCI
International Qualifications. The contents of this booklet are divided into 3 elements:

(1)   Questions                  – reproduced from the printed examination paper

(2)   Model Answers              – summary of the main points that the Chief Examiner expected to
                                   see in the answers to each question in the examination paper,
                                   plus a fully worked example or sample answer (where applicable)

(3)   Helpful Hints              – where appropriate, additional guidance relating to individual
                                   questions or to examination technique

Teachers and candidates should find this booklet an invaluable teaching tool and an aid to success.

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accepts that candidates may offer other answers that could be equally valid.




                          © Education Development International plc 2007

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                                            Page 1 of 17
Page 2 of 17
Cost Accounting Level 3
Series 4 2007
QUESTION 1

The Tower Hotel, which has 50 bedrooms, has organised its operations into four responsibility centres
(Accommodation, Restaurant, Kitchen and Administration). The budgeted fixed overhead costs for
Month 9 were as follows.

                                            £
Bedroom repairs                           2,880
Electricity
 - accommodation                            570
 - restaurant                               275
 - kitchen                                  700
 - administration                           150
Rent                                      9,000
Kitchen repairs                           1,025
Staff labour costs:
 - accommodation                          4,800
 - restaurant                             6,200
 - kitchen                                3,000
 - administration                         6,000
Other property overheads                  4,000


In addition, the following information relating to the responsibility centres is available:

Responsibility Centre            Floor Area        Administration overhead costs
                                 Occupied         apportioned on the following basis
                                (Sq metres)
Accommodation                       600                            60%
Restaurant                          100                            25%
Kitchen                              60                            15%
Administration                       40


During month 9 the hotel is to open for 30 days with a budgeted bedroom occupancy of 80%. A total of
5,600 meals is expected to be prepared and served in the kitchen and restaurant.

Actual results for month 9 were:

                      Bedroom          Number of meals               Actual overheads
                      occupancy        served / prepared       (Allocated and apportioned)
Cost Centre
Accommodation             85%                                            £22,660
Restaurant                                    5700                        £9,575
Kitchen                                       5700                        £7,140




3016/4/07/MA                                    Page 3 of 17
QUESTION 1 CONTINUED

REQUIRED

For month 9:

(a) Produce a budgeted overhead distribution table, showing the allocated and apportioned
    costs for the four responsibility centres. (Include in the table the basis for any
    apportionment).
                                                                                                (5 marks)

(b) Re-apportion the budgeted Administration costs to the other three responsibility centres.
                                                                                                (2 marks)

(c) Calculate a suitable overhead absorption rate for each responsibility centre.
                                                                                                (3 marks)

(d) Calculate the over/under absorbed overhead for each responsibility centre.
                                                                                                (6 marks)

(e) (i)    Explain the meaning of both over-absorption and under-absorption of fixed overheads.

    (ii)   State two reasons for over/under absorption of fixed overheads.
                                                                                                (4 marks)

                                                                                      (Total 20 marks)




MODEL ANSWER TO QUESTION 1


 (a) Overhead distribution table

 Overheads                 Basis       Total    Accommodation       Restaurant      Kitchen      Admin
                                        (£)          (£)               (£)             (£)        (£)
 Bedroom repairs        Allocation      2,880       2,880
 Electricity            Allocation      1,695         570                275          700         150
 Rent                   Apportioned     9,000       6,750              1,125          675         450
                        (Floor Area)
 Kitchen repairs        Allocation      1,025                                        1,025
 Staff costs            Allocation     20,000         4,800            6,200         3,000      6,000
 Other property         Apportioned     4,000         3,000              500           300       200
 overheads              (Floor Area)
                                       38,600        18,000            8,100         5,700      6,800


 (b) Reapportion Administration

 Administration         Apportioned                   4,080            1,700         1,020       (6,800)
                                       38,600        22,080            9,800         6,720




3016/4/07/MA                                 Page 4 of 17
MODEL ANSWER TO QUESTION 1 CONTINUED

(c) Overhead absorption rate

      Accommodation            Base on budgeted room occupancy of 80%
                               = £22,080 / ( 80% x 50 x 30)
                               = £18.40 per room per day

      Restaurant               Based on number of meals expected to be served
                               = £9,800 / 5,600
                               = £1.75 per meal served

      Kitchen                  Based on number of meals expected to be prepared
                               = £6,720 / 5,600
                               = £1.20 per meal prepared


(d) Over/under absorbed overheads
    Department                                 Accommodation        Restaurant       Kitchen

      No of rooms occupied                           1,275
      No of meals served/prepared                                      5,700          5,700
      Absorption rate/room/day                       £18.40
      Absorption rate/meal                                            £1.75          £1.20
      Overhead absorbed (£)                         23,460            9,975          6,840
      Overhead incurred (£)                         22,660            9,575          7,140
      Over/under absorption(£)                     800 Over          400 Over      300 Under


Workings:
                No of rooms occupied = 85% x 50 x 30 = 1,275 rooms


(e)             (i)    Over absorption means that the overheads absorbed are greater than
                       the overheads actually incurred.
                       Under absorption means that insufficient overheads have been
                       absorbed

                (ii)   Actual overheads costs are different from budgeted overheads.
                       The actual activity level is different from the budgeted activity level.




3016/4/07/MA                                     Page 5 of 17
QUESTION 2

A company, with fixed costs of £80,000 for a period, has a break-even point of £200,000 sales
revenue and current sales of £400,000 for the same period.


REQUIRED

(a) Calculate the total variable cost at the break-even point and at the current sales level.
                                                                                                (2 marks)
(b) Calculate the contribution to sales ratio.
                                                                                                (2 marks)

(c) Draw a traditional breakeven chart with sales of up to £500,000 in the period.
    Indicate clearly on the chart the break-even point and the margin of safety at the
    current sales level.
                                                                                                (9 marks)

Assume that the contribution to sales ratio changes to 45% and the fixed costs per period increase by
£1,000.


REQUIRED

(d) Calculate the revised break-even point (sales revenue).
                                                                                                (2 marks)

(e) Calculate the margin of safety as a percentage of the current level of sales.
                                                                                                (2 marks)

(f)   Calculate whether profit would increase or decrease at the current sales level.
                                                                                                (3 marks)

                                                                                         (Total 20 marks)




3016/4/07/MA                                     Page 6 of 17
MODEL ANSWER TO QUESTION 2


(a)   Variable Costs

      At breakeven point:
      Sales revenue = Fixed cost + Variable cost.
      £200,000        = £80,000 + Variable cost
      Variable cost = £120,000

      At current sales level of £400,000
      Variable cost     = £120,000 x 400,000 / 200,000
      Variable cost = £240,000

(b)   Contribution sales ratio

      Contribution at breakeven point     =    Fixed costs
                                          =    £80,000
      Contribution sales ratio            =    £80,000 / £200,000 x 100%
                                          =    40%
      Or
      Contribution at current sales output =   £400,000 - £240,000
                                           =   £160,000
      Contribution sales ratio             =   £160,000 / £400,000 x 100%
                                           =   40%




3016/4/07/MA                               Page 7 of 17
MODEL ANSWER TO QUESTION 2 CONTINUED

(c)




3016/4/07/MA                   Page 8 of 17
QUESTION 2 CONTINUED

(d)   Revised breakeven point
                                  = Fixed costs / Contribution to sales ratio
                                  = (£80,000 + £1,000) / 0.45
                                  = £180,000


(e)   Margin of safety
                                  = [(Sales - Breakeven revenue) / Sales] x 100%
                                  = [(400,000 - 180,000) / 400,000] x 100%
                                  = 55%


(f)   Profits

      Current profit     =       Contribution - Fixed costs
                         =       (£400,000 x 0.4) - £80,000
                         =       £80,000

      Revised profit     =       (£400,000 x 0.45) - £81,000
                         =       £99,000

      Profit would increase by £19,000




3016/4/07/MA                              Page 9 of 17
QUESTION 3

A company, which produces a single product and uses a standard costing system, has prepared the
following budgeted information for month 1

Sales volume                                        400 units
Selling price                                       £75 per unit
Production                                          410 units
Direct material cost per unit                       £5 per unit
Direct labour cost per unit                         £6 per unit
Variable production overhead cost per unit          £2 per unit
Fixed production overhead cost per unit             £25 per unit

Fixed and variable overheads are absorbed at a predetermined rate based on production unit output.
No stocks existed at the start of month 1

Actual sales, production and costs relating to the period were as follows:

Sales volume                                        380 units
Revenue from sales                                  £30,400
Production                                          420 units
Direct material, purchased and used.                £2,310
Direct labour                                       £2,100
Variable production overhead                        £1,050
Fixed production overhead                           £10,920


REQUIRED

(a) Calculate for month 1:

    (i)     The budgeted gross profit
    (ii)    The actual gross profit.
                                                                                            (6 marks)

(b) Calculate the following variances:

    (i)     sales price
    (ii)    sales volume profit
    (iii)   total direct material
    (iv)    total direct labour
    (v)     total variable production overhead
    (vi)    fixed production overhead expenditure
    (vii)   fixed production overhead volume
                                                                                           (11 marks)

(c) Reconcile the budgeted gross profit with the actual gross profit using the variances
    calculated in part (b).
                                                                                            (3 marks)


                                                                                     (Total 20 marks)




3016/4/07/MA                                 Page 10 of 17
MODEL ANSWER TO QUESTION 3


(a) Budgeted Gross profit

(i)    Sales                                            (400 x £75)                £30,000
       Production costs (400 x £38)                                                £15,200
       Gross Profit                                                                £14,800
       Workings:
       Standard production cost per unit = (5+6+2+25)                               = £38

(ii)   Actual gross profit
       Sales                                                                       £30,400
       Direct material                                                   £2,310
       Direct labour                                                     £2,100
       Variable production overheads                                     £1,050
       Fixed production overheads                                       £10,920
                                                                        £16,380
       Less closing stock                                                £1,520
       Production cost of sales                                                    £14,860
       Gross profit                                                                £15,540
       Workings
       Closing stock                                    (420 - 380) x £38 =         £1,520


(b) Variances
                                                                                  £
       (i)     Sales price              (380 x £75) - £30,400                  1,900F
       (ii)    Sales volume profit      (400 - 380) x (£14,800/400)              740A
       (iii)   Direct material          (420 x £5) - £2,310                      210A
       (iv)    Direct labour            (420 x £6) - £2,100                      420F
       (v)     Variable overhead        (420 x £2) - £1,050                      210A
       (vi)    Fixed o/h expenditure    (410 x £25) - £10,920                    670A
       (vii)   Fixed o/h volume         (410 - 420) x £25                        250F


(c) Profit Reconciliation                                               £
    Budgeted profit                                                   14,800
    Sales variances:
    Sales price                            1,900F
    Sales volume profit                      740A       1,160F
    Cost variances:
    Direct material                         210A
    Direct labour                           420F
    Variable overhead                       210A
    Fixed o/h expenditure                   670A
    Fixed o/h volume                        250F           420A        740F
    Actual profit                                                     15,540




3016/4/07/MA                               Page 11 of 17
QUESTION 4

A company manufactures and sells two products, Product P and Product Q. The following information
is available for periods 9 to 13 in year 2.

Sales:
The budgeted sales, in units, are as follows:

Period               9           10              11            12          13

Product P          800          960        1,200          1,200         1,000
Product Q          200          240          320            400           440

Raw Materials:
Two raw materials are used in the manufacture of each product.


Raw material (finished product weight)          Product P           Product Q
RM1                                             4kg per unit        6kg per unit
RM2                                             3kg per unit        4kg per unit

During manufacture, material RM1 is subject to a material input loss of 20%.

The budgeted purchase prices are £1.50 per kg for raw material RM1 and £2.00 per kg for raw
material RM2. An order placed in any one period will be delivered at the start of the next period.

Stock Holding

Finished Product
A stock level for each finished product will be maintained at the end of each period equivalent to half
the estimated sales for the following period. Stock level at the beginning of period 9 is expected to be
400 units for product P and 100 units for product Q.

Raw Material RM1
This material is subject to a supplier’s order quantity of 12,000 kg. The company policy is to only
place orders for the material when requirements for the next period’s production cannot be met from
stock. Stock level, at the end of period 8 is expected to be 2,450 kg. A delivery of 12,000 kg, ordered
the previous period, is expected at the start of period 9.

Raw Material RM2
A stock level of 2,000 kg to be maintained at the end of each period. No minimum order quantity
applies to this material. Stock level at the end of period 8 is expected to be 2,000 kg

REQUIRED

(a) Prepare the production budgets for both Product P and Product Q for periods 9 to 12.
                                                                                               (4 marks)

(b) Prepare the material purchases budgets (kg) for both Material RM1 and Material
    RM2 for each of periods 9 to 11.
                                                                                              (10 marks)

(c) Calculate the total budgeted value (£) of the purchases of each material over the
    three periods 9 to 11.
                                                                                               (2 marks)
(d) Define the term ‘principal budget factor’ and explain its influence on the budget
    setting process.
                                                                                               (4 marks)

                                                                                        (Total 20 marks)



3016/4/07/MA                                    Page 12 of 17
MODEL ANSWER TO QUESTION 4


(a)                               Production Budget Product P (units)
      Period                                9          10          11                12             13
      Sales                               800         960       1,200             1,200          1,000
      Less Opening Stock                  400         480         600               600
      Add Closing Stock                   480         600         600               500
      Production                          880       1,080       1,200             1,100

                                  Production Budget Product Q (units)
      Period                                9          10          11                  12             13
      Sales                               200         240         320                 400            440
      Less Opening Stock                  100         120         160                 200
      Add Closing Stock                   120         160         200                 220
      Production                          220         280         360                 420



                                    Material Purchases Budget (kgs)
(b)
      Period                                           9            10           11            12
      Material RM1 Requirement
      Product P (4kg per product)                  3,520         4,320        4,800          4,400
      Product Q (6kg per product)                  1,320         1,680        2,160          2,520
      Total without loss                           4,840         6,000        6,960          6,920
      Total allowing for 20% loss                  6,050         7,500        8,700          8,650

      Opening Stock                                2,450         8,400          900          4,200
      Add Delivery                                12,000                     12,000         12,000
      Less Material requirement                    6,050         7,500        8,700          8,650
      Closing stock                                8,400           900        4,200          7,550

      Material purchases budget (RM1)                          12,000        12,000

      Material RM2 Requirement
      Product P (3kg per product)                  2,640         3,240        3,600          3,300
      Product Q (4kg per product)                    880         1,120        1,440          1,680
      Total requirement                            3,520         4,360        5,040          4,980

      Material purchases budget (RM2)              4,360         5,040        4,980

      Hence purchases (orders placed) in any period will equal material requirements
      in the following period.

(c)                        Total Value of Material Purchases (£)
      Material RM1                £1.50 x (12,000 + 12,000)                     £36,000
      Material RM2                £2.00 x (4,360 + 5,040 + 4,980)               £28,760


(d)   The principal budget factor is the factor which restricts the activities of the
      organisation during the budget period. This budget must be prepared first and all
      the other budgets will be derived from it.




3016/4/07/MA                               Page 13 of 17
QUESTION 5

A company manufactures and sells four products, A,B,C and D. Due to a limit on the labour capacity
of 1,700 direct hours in the next period the company considers it will not be able to meet its anticipated
sales demand and is therefore considering buying in some units from an outside supplier to make up
any shortfall. There is no finished goods stock.

The following budgeted information has been provided for the next period.

                                    A             B            C            D
Sales demand (units)               400           200          250          150
Selling price per unit             £45           £60          £50          £80
Direct material (per unit)          £6            £7           £8          £10
Direct labour hours (per unit)       2             3            2            4

Direct labour is budgeted at £10 per direct labour hour.
Variable overheads are budgeted at £2 per direct labour hour.
Fixed production overheads absorbed at a rate of £10.00 per unit produced are expected to be
£10,000.
An outside supplier has quoted £40, £55, £44 and £76 respectively for products A,B,C and D.


REQUIRED

(a) Advise the company on which products, and how many, it should buy in order to
    achieve the budgeted output at minimum cost. Support your advice with calculations.
                                                                                              (14 marks)

(b) Produce a budgeted manufacturing and trading account for the period.
                                                                                                (6 marks)

                                                                                        (Total 20 marks)




3016/4/07/MA                                 Page 14 of 17
MODEL ANSWER TO QUESTION 5

(a) Hours required to make budgeted production
    Product A                                      400 x 2                    = 800
    Product B                                      200 x 3                    = 600
    Product C                                      250 x 2                    = 500
    Product D                                      150 x 4                    = 600
                                                                              2,500

Only 1,700 direct labour hours available therefore a shortfall of 800 hours exists

Product                                                   A          B           C           D
Variable costs (per unit)                                 £          £           £           £
Direct materials                                          6          7           8          10
Direct labour                                            20         30          20          40
Variable overheads                                        4          6           4           8
Variable cost of manufacture                             30         43          32          58
Variable cost of buying                                  40         55          44          76
Extra variable cost of buying in                         10         12          12          18

Labour hours per unit saved by buying in                  2          3           2            4
Extra cost of buying in per labour hour saved            £5         £4          £6        £4.50
Buying in priority                                        3          1           4            2

The company should therefore buy in                           Hours saved
                      200 units of product B                      600
                      50 units of product D                       200
                                                                  800


(b) Manufacturing and Trading account for the period
                                                                         £            £
    Sales
    Product A                           (400 x £45)                  18,000
    Product B                           (200 x £60)                  12,000
    Product C                           (250 x £50)                  12,500
    Product D                           (150 x £80)                  12,000      54,500
    Variable cost of manufacture
    Product A                           (400 x £30)       12,000
    Product C                           (250 x £32)        8,000
    Product D                           (100 x £58)        5,800     25,800
    Variable cost of buying
    Product B                           (200 x £55)       11,000
    Product D                           (50 x £76)         3,800     14,800
    Total variable cost                                              40,600
    Fixed overheads                                                  10,000
    Cost of sales                                                                50,600
    Gross profit                                                                  3,900




3016/4/07/MA                                Page 15 of 17
QUESTION 6

A manufacturing company operates a non-integrated accounting system. At the end of Month 1 of the
financial year the following reconciliation statement was prepared.

                                                                  £                £
Profit as per cost accounts                                                      32,000
Add:
Finished goods closing stock difference                      1,600
Finished goods opening stock difference                      2,500
Work-in-progress closing stock difference                      800
Selling and distribution overheads over absorbed             1,000
Notional rent charge                                         7,500               13,400
Deduct:
Raw material closing stock difference                        1,200
Raw material opening stock difference                          900
Work-in-progress opening stock difference                      500
Production overheads under absorbed                          2,000
Administration overheads under absorbed                      1,500                6,100
Profit as per financial accounts.                                                39,300

In the cost ledger, overheads are absorbed as follows:

Production overheads                       £14.00 per direct labour hour
Administration overheads                   8% of sales
Selling and distribution overheads         4% of sales

Any over/under absorbed overhead balance at the end of a month is carried forward to the following
month in the cost ledger. Any balance remaining at the end of a financial year is transferred to the
Profit and Loss Account.

Sales in Month 1 were £400,000 and 8,000 direct labour hours were worked.

In the financial ledger the following stocks relate to Month 1:

                                     Opening stock                    Closing stock
                                           £                                £
Raw materials                            40,000                          50,000
Work-in-progress                         20,000                          25,000
Finished goods                          150,000                         120,000


REQUIRED

(a) Calculate for Month 1:

    (i)    The opening and closing stock values in the cost ledger for each of the raw
           material, work-in-progress and finished goods.
                                                                                                 (9 marks)
    (ii)   The actual overhead expenditure for production, administration and
           selling and distributiion.
                                                                                                 (6 marks)

(b) Suggest a reason why the cost and financial accounting valuations for raw
    material stock are different.
                                                                                                 (3 marks)
(c) Explain what the item ‘Notional rent charge’ means.
                                                                                                 (2 marks)

                                                                                          (Total 20 marks)



3016/4/07/MA                                  Page 16 of 17
MODEL ANSWER TO QUESTION 6

(a)

(i)    Stock values in cost ledger (£)

                           Opening stock                            Closing stock
       Raw materials       (40,000 - 900) =        39,100           (50,000 + 1,200) =        51,200
       Work-in-progress    (20,000 - 500) =        19,500            (25,000 - 800) =         24,200
       Finished goods      (150,000 + 2,500) =    152,500           (120,000 -1,600) =       118,400



(ii)   Actual overhead expenditure (£)

       Production overhead:
       Absorbed                                      112,000   (8,000 x £14)
       add under absorbed                              2,000
       Incurred                                      114,000

       Administration overhead:
       Absorbed                                       32,000   (8% x 400,000)
       add under absorbed                              1,500
       Incurred                                       33,500

       Selling and distribution overhead:
       Absorbed                                       16,000   (4% x 400,000)
       less over absorbed                              1,000
       Incurred                                       15,000



(b) Stock valuation:

       Different methods of raw material stock valuation could be used. The financial accounts
       might use the 'First in first out' method whereas the cost accountant might use the 'Last
       in first out' method.



(c) Notional rent charge:
    A notional rent charge represents a cost of using a resource, that is owned by the
    company, and has no conventional actual cost.




3016/4/07/MA                                 Page 17 of 17       © Education Development International plc 2007

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97887840 cost-accounting-series-4-2007-code-3016

  • 2. Vision Statement Our vision is to contribute to the achievements of learners around the world by providing integrated assessment and learning services, adapted to meet both local market and wider occupational needs and delivered to international standards. © Education Development International plc 2007 Company Registration No: 3914767 All rights reserved. This publication in its entirety is the copyright of Education Development International plc. Reproduction either in whole or in part is forbidden without written permission from Education Development International plc. International House Siskin Parkway East Middlemarch Business Park Coventry CV3 4PE Telephone: +44 (0) 8707 202909 Facsimile: + 44 (0) 24 7651 6566 Email: customerservice@ediplc.com
  • 3. Cost Accounting Level 3 Series 4 2007 How to use this booklet Model Answers have been developed by Education Development International plc (EDI) to offer additional information and guidance to Centres, teachers and candidates as they prepare for LCCI International Qualifications. The contents of this booklet are divided into 3 elements: (1) Questions – reproduced from the printed examination paper (2) Model Answers – summary of the main points that the Chief Examiner expected to see in the answers to each question in the examination paper, plus a fully worked example or sample answer (where applicable) (3) Helpful Hints – where appropriate, additional guidance relating to individual questions or to examination technique Teachers and candidates should find this booklet an invaluable teaching tool and an aid to success. EDI provides Model Answers to help candidates gain a general understanding of the standard required. The general standard of model answers is one that would achieve a Distinction grade. EDI accepts that candidates may offer other answers that could be equally valid. © Education Development International plc 2007 All rights reserved; no part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without prior written permission of the Publisher. The book may not be lent, resold, hired out or otherwise disposed of by way of trade in any form of binding or cover, other than that in which it is published, without the prior consent of the Publisher. Page 1 of 17
  • 5. Cost Accounting Level 3 Series 4 2007 QUESTION 1 The Tower Hotel, which has 50 bedrooms, has organised its operations into four responsibility centres (Accommodation, Restaurant, Kitchen and Administration). The budgeted fixed overhead costs for Month 9 were as follows. £ Bedroom repairs 2,880 Electricity - accommodation 570 - restaurant 275 - kitchen 700 - administration 150 Rent 9,000 Kitchen repairs 1,025 Staff labour costs: - accommodation 4,800 - restaurant 6,200 - kitchen 3,000 - administration 6,000 Other property overheads 4,000 In addition, the following information relating to the responsibility centres is available: Responsibility Centre Floor Area Administration overhead costs Occupied apportioned on the following basis (Sq metres) Accommodation 600 60% Restaurant 100 25% Kitchen 60 15% Administration 40 During month 9 the hotel is to open for 30 days with a budgeted bedroom occupancy of 80%. A total of 5,600 meals is expected to be prepared and served in the kitchen and restaurant. Actual results for month 9 were: Bedroom Number of meals Actual overheads occupancy served / prepared (Allocated and apportioned) Cost Centre Accommodation 85% £22,660 Restaurant 5700 £9,575 Kitchen 5700 £7,140 3016/4/07/MA Page 3 of 17
  • 6. QUESTION 1 CONTINUED REQUIRED For month 9: (a) Produce a budgeted overhead distribution table, showing the allocated and apportioned costs for the four responsibility centres. (Include in the table the basis for any apportionment). (5 marks) (b) Re-apportion the budgeted Administration costs to the other three responsibility centres. (2 marks) (c) Calculate a suitable overhead absorption rate for each responsibility centre. (3 marks) (d) Calculate the over/under absorbed overhead for each responsibility centre. (6 marks) (e) (i) Explain the meaning of both over-absorption and under-absorption of fixed overheads. (ii) State two reasons for over/under absorption of fixed overheads. (4 marks) (Total 20 marks) MODEL ANSWER TO QUESTION 1 (a) Overhead distribution table Overheads Basis Total Accommodation Restaurant Kitchen Admin (£) (£) (£) (£) (£) Bedroom repairs Allocation 2,880 2,880 Electricity Allocation 1,695 570 275 700 150 Rent Apportioned 9,000 6,750 1,125 675 450 (Floor Area) Kitchen repairs Allocation 1,025 1,025 Staff costs Allocation 20,000 4,800 6,200 3,000 6,000 Other property Apportioned 4,000 3,000 500 300 200 overheads (Floor Area) 38,600 18,000 8,100 5,700 6,800 (b) Reapportion Administration Administration Apportioned 4,080 1,700 1,020 (6,800) 38,600 22,080 9,800 6,720 3016/4/07/MA Page 4 of 17
  • 7. MODEL ANSWER TO QUESTION 1 CONTINUED (c) Overhead absorption rate Accommodation Base on budgeted room occupancy of 80% = £22,080 / ( 80% x 50 x 30) = £18.40 per room per day Restaurant Based on number of meals expected to be served = £9,800 / 5,600 = £1.75 per meal served Kitchen Based on number of meals expected to be prepared = £6,720 / 5,600 = £1.20 per meal prepared (d) Over/under absorbed overheads Department Accommodation Restaurant Kitchen No of rooms occupied 1,275 No of meals served/prepared 5,700 5,700 Absorption rate/room/day £18.40 Absorption rate/meal £1.75 £1.20 Overhead absorbed (£) 23,460 9,975 6,840 Overhead incurred (£) 22,660 9,575 7,140 Over/under absorption(£) 800 Over 400 Over 300 Under Workings: No of rooms occupied = 85% x 50 x 30 = 1,275 rooms (e) (i) Over absorption means that the overheads absorbed are greater than the overheads actually incurred. Under absorption means that insufficient overheads have been absorbed (ii) Actual overheads costs are different from budgeted overheads. The actual activity level is different from the budgeted activity level. 3016/4/07/MA Page 5 of 17
  • 8. QUESTION 2 A company, with fixed costs of £80,000 for a period, has a break-even point of £200,000 sales revenue and current sales of £400,000 for the same period. REQUIRED (a) Calculate the total variable cost at the break-even point and at the current sales level. (2 marks) (b) Calculate the contribution to sales ratio. (2 marks) (c) Draw a traditional breakeven chart with sales of up to £500,000 in the period. Indicate clearly on the chart the break-even point and the margin of safety at the current sales level. (9 marks) Assume that the contribution to sales ratio changes to 45% and the fixed costs per period increase by £1,000. REQUIRED (d) Calculate the revised break-even point (sales revenue). (2 marks) (e) Calculate the margin of safety as a percentage of the current level of sales. (2 marks) (f) Calculate whether profit would increase or decrease at the current sales level. (3 marks) (Total 20 marks) 3016/4/07/MA Page 6 of 17
  • 9. MODEL ANSWER TO QUESTION 2 (a) Variable Costs At breakeven point: Sales revenue = Fixed cost + Variable cost. £200,000 = £80,000 + Variable cost Variable cost = £120,000 At current sales level of £400,000 Variable cost = £120,000 x 400,000 / 200,000 Variable cost = £240,000 (b) Contribution sales ratio Contribution at breakeven point = Fixed costs = £80,000 Contribution sales ratio = £80,000 / £200,000 x 100% = 40% Or Contribution at current sales output = £400,000 - £240,000 = £160,000 Contribution sales ratio = £160,000 / £400,000 x 100% = 40% 3016/4/07/MA Page 7 of 17
  • 10. MODEL ANSWER TO QUESTION 2 CONTINUED (c) 3016/4/07/MA Page 8 of 17
  • 11. QUESTION 2 CONTINUED (d) Revised breakeven point = Fixed costs / Contribution to sales ratio = (£80,000 + £1,000) / 0.45 = £180,000 (e) Margin of safety = [(Sales - Breakeven revenue) / Sales] x 100% = [(400,000 - 180,000) / 400,000] x 100% = 55% (f) Profits Current profit = Contribution - Fixed costs = (£400,000 x 0.4) - £80,000 = £80,000 Revised profit = (£400,000 x 0.45) - £81,000 = £99,000 Profit would increase by £19,000 3016/4/07/MA Page 9 of 17
  • 12. QUESTION 3 A company, which produces a single product and uses a standard costing system, has prepared the following budgeted information for month 1 Sales volume 400 units Selling price £75 per unit Production 410 units Direct material cost per unit £5 per unit Direct labour cost per unit £6 per unit Variable production overhead cost per unit £2 per unit Fixed production overhead cost per unit £25 per unit Fixed and variable overheads are absorbed at a predetermined rate based on production unit output. No stocks existed at the start of month 1 Actual sales, production and costs relating to the period were as follows: Sales volume 380 units Revenue from sales £30,400 Production 420 units Direct material, purchased and used. £2,310 Direct labour £2,100 Variable production overhead £1,050 Fixed production overhead £10,920 REQUIRED (a) Calculate for month 1: (i) The budgeted gross profit (ii) The actual gross profit. (6 marks) (b) Calculate the following variances: (i) sales price (ii) sales volume profit (iii) total direct material (iv) total direct labour (v) total variable production overhead (vi) fixed production overhead expenditure (vii) fixed production overhead volume (11 marks) (c) Reconcile the budgeted gross profit with the actual gross profit using the variances calculated in part (b). (3 marks) (Total 20 marks) 3016/4/07/MA Page 10 of 17
  • 13. MODEL ANSWER TO QUESTION 3 (a) Budgeted Gross profit (i) Sales (400 x £75) £30,000 Production costs (400 x £38) £15,200 Gross Profit £14,800 Workings: Standard production cost per unit = (5+6+2+25) = £38 (ii) Actual gross profit Sales £30,400 Direct material £2,310 Direct labour £2,100 Variable production overheads £1,050 Fixed production overheads £10,920 £16,380 Less closing stock £1,520 Production cost of sales £14,860 Gross profit £15,540 Workings Closing stock (420 - 380) x £38 = £1,520 (b) Variances £ (i) Sales price (380 x £75) - £30,400 1,900F (ii) Sales volume profit (400 - 380) x (£14,800/400) 740A (iii) Direct material (420 x £5) - £2,310 210A (iv) Direct labour (420 x £6) - £2,100 420F (v) Variable overhead (420 x £2) - £1,050 210A (vi) Fixed o/h expenditure (410 x £25) - £10,920 670A (vii) Fixed o/h volume (410 - 420) x £25 250F (c) Profit Reconciliation £ Budgeted profit 14,800 Sales variances: Sales price 1,900F Sales volume profit 740A 1,160F Cost variances: Direct material 210A Direct labour 420F Variable overhead 210A Fixed o/h expenditure 670A Fixed o/h volume 250F 420A 740F Actual profit 15,540 3016/4/07/MA Page 11 of 17
  • 14. QUESTION 4 A company manufactures and sells two products, Product P and Product Q. The following information is available for periods 9 to 13 in year 2. Sales: The budgeted sales, in units, are as follows: Period 9 10 11 12 13 Product P 800 960 1,200 1,200 1,000 Product Q 200 240 320 400 440 Raw Materials: Two raw materials are used in the manufacture of each product. Raw material (finished product weight) Product P Product Q RM1 4kg per unit 6kg per unit RM2 3kg per unit 4kg per unit During manufacture, material RM1 is subject to a material input loss of 20%. The budgeted purchase prices are £1.50 per kg for raw material RM1 and £2.00 per kg for raw material RM2. An order placed in any one period will be delivered at the start of the next period. Stock Holding Finished Product A stock level for each finished product will be maintained at the end of each period equivalent to half the estimated sales for the following period. Stock level at the beginning of period 9 is expected to be 400 units for product P and 100 units for product Q. Raw Material RM1 This material is subject to a supplier’s order quantity of 12,000 kg. The company policy is to only place orders for the material when requirements for the next period’s production cannot be met from stock. Stock level, at the end of period 8 is expected to be 2,450 kg. A delivery of 12,000 kg, ordered the previous period, is expected at the start of period 9. Raw Material RM2 A stock level of 2,000 kg to be maintained at the end of each period. No minimum order quantity applies to this material. Stock level at the end of period 8 is expected to be 2,000 kg REQUIRED (a) Prepare the production budgets for both Product P and Product Q for periods 9 to 12. (4 marks) (b) Prepare the material purchases budgets (kg) for both Material RM1 and Material RM2 for each of periods 9 to 11. (10 marks) (c) Calculate the total budgeted value (£) of the purchases of each material over the three periods 9 to 11. (2 marks) (d) Define the term ‘principal budget factor’ and explain its influence on the budget setting process. (4 marks) (Total 20 marks) 3016/4/07/MA Page 12 of 17
  • 15. MODEL ANSWER TO QUESTION 4 (a) Production Budget Product P (units) Period 9 10 11 12 13 Sales 800 960 1,200 1,200 1,000 Less Opening Stock 400 480 600 600 Add Closing Stock 480 600 600 500 Production 880 1,080 1,200 1,100 Production Budget Product Q (units) Period 9 10 11 12 13 Sales 200 240 320 400 440 Less Opening Stock 100 120 160 200 Add Closing Stock 120 160 200 220 Production 220 280 360 420 Material Purchases Budget (kgs) (b) Period 9 10 11 12 Material RM1 Requirement Product P (4kg per product) 3,520 4,320 4,800 4,400 Product Q (6kg per product) 1,320 1,680 2,160 2,520 Total without loss 4,840 6,000 6,960 6,920 Total allowing for 20% loss 6,050 7,500 8,700 8,650 Opening Stock 2,450 8,400 900 4,200 Add Delivery 12,000 12,000 12,000 Less Material requirement 6,050 7,500 8,700 8,650 Closing stock 8,400 900 4,200 7,550 Material purchases budget (RM1) 12,000 12,000 Material RM2 Requirement Product P (3kg per product) 2,640 3,240 3,600 3,300 Product Q (4kg per product) 880 1,120 1,440 1,680 Total requirement 3,520 4,360 5,040 4,980 Material purchases budget (RM2) 4,360 5,040 4,980 Hence purchases (orders placed) in any period will equal material requirements in the following period. (c) Total Value of Material Purchases (£) Material RM1 £1.50 x (12,000 + 12,000) £36,000 Material RM2 £2.00 x (4,360 + 5,040 + 4,980) £28,760 (d) The principal budget factor is the factor which restricts the activities of the organisation during the budget period. This budget must be prepared first and all the other budgets will be derived from it. 3016/4/07/MA Page 13 of 17
  • 16. QUESTION 5 A company manufactures and sells four products, A,B,C and D. Due to a limit on the labour capacity of 1,700 direct hours in the next period the company considers it will not be able to meet its anticipated sales demand and is therefore considering buying in some units from an outside supplier to make up any shortfall. There is no finished goods stock. The following budgeted information has been provided for the next period. A B C D Sales demand (units) 400 200 250 150 Selling price per unit £45 £60 £50 £80 Direct material (per unit) £6 £7 £8 £10 Direct labour hours (per unit) 2 3 2 4 Direct labour is budgeted at £10 per direct labour hour. Variable overheads are budgeted at £2 per direct labour hour. Fixed production overheads absorbed at a rate of £10.00 per unit produced are expected to be £10,000. An outside supplier has quoted £40, £55, £44 and £76 respectively for products A,B,C and D. REQUIRED (a) Advise the company on which products, and how many, it should buy in order to achieve the budgeted output at minimum cost. Support your advice with calculations. (14 marks) (b) Produce a budgeted manufacturing and trading account for the period. (6 marks) (Total 20 marks) 3016/4/07/MA Page 14 of 17
  • 17. MODEL ANSWER TO QUESTION 5 (a) Hours required to make budgeted production Product A 400 x 2 = 800 Product B 200 x 3 = 600 Product C 250 x 2 = 500 Product D 150 x 4 = 600 2,500 Only 1,700 direct labour hours available therefore a shortfall of 800 hours exists Product A B C D Variable costs (per unit) £ £ £ £ Direct materials 6 7 8 10 Direct labour 20 30 20 40 Variable overheads 4 6 4 8 Variable cost of manufacture 30 43 32 58 Variable cost of buying 40 55 44 76 Extra variable cost of buying in 10 12 12 18 Labour hours per unit saved by buying in 2 3 2 4 Extra cost of buying in per labour hour saved £5 £4 £6 £4.50 Buying in priority 3 1 4 2 The company should therefore buy in Hours saved 200 units of product B 600 50 units of product D 200 800 (b) Manufacturing and Trading account for the period £ £ Sales Product A (400 x £45) 18,000 Product B (200 x £60) 12,000 Product C (250 x £50) 12,500 Product D (150 x £80) 12,000 54,500 Variable cost of manufacture Product A (400 x £30) 12,000 Product C (250 x £32) 8,000 Product D (100 x £58) 5,800 25,800 Variable cost of buying Product B (200 x £55) 11,000 Product D (50 x £76) 3,800 14,800 Total variable cost 40,600 Fixed overheads 10,000 Cost of sales 50,600 Gross profit 3,900 3016/4/07/MA Page 15 of 17
  • 18. QUESTION 6 A manufacturing company operates a non-integrated accounting system. At the end of Month 1 of the financial year the following reconciliation statement was prepared. £ £ Profit as per cost accounts 32,000 Add: Finished goods closing stock difference 1,600 Finished goods opening stock difference 2,500 Work-in-progress closing stock difference 800 Selling and distribution overheads over absorbed 1,000 Notional rent charge 7,500 13,400 Deduct: Raw material closing stock difference 1,200 Raw material opening stock difference 900 Work-in-progress opening stock difference 500 Production overheads under absorbed 2,000 Administration overheads under absorbed 1,500 6,100 Profit as per financial accounts. 39,300 In the cost ledger, overheads are absorbed as follows: Production overheads £14.00 per direct labour hour Administration overheads 8% of sales Selling and distribution overheads 4% of sales Any over/under absorbed overhead balance at the end of a month is carried forward to the following month in the cost ledger. Any balance remaining at the end of a financial year is transferred to the Profit and Loss Account. Sales in Month 1 were £400,000 and 8,000 direct labour hours were worked. In the financial ledger the following stocks relate to Month 1: Opening stock Closing stock £ £ Raw materials 40,000 50,000 Work-in-progress 20,000 25,000 Finished goods 150,000 120,000 REQUIRED (a) Calculate for Month 1: (i) The opening and closing stock values in the cost ledger for each of the raw material, work-in-progress and finished goods. (9 marks) (ii) The actual overhead expenditure for production, administration and selling and distributiion. (6 marks) (b) Suggest a reason why the cost and financial accounting valuations for raw material stock are different. (3 marks) (c) Explain what the item ‘Notional rent charge’ means. (2 marks) (Total 20 marks) 3016/4/07/MA Page 16 of 17
  • 19. MODEL ANSWER TO QUESTION 6 (a) (i) Stock values in cost ledger (£) Opening stock Closing stock Raw materials (40,000 - 900) = 39,100 (50,000 + 1,200) = 51,200 Work-in-progress (20,000 - 500) = 19,500 (25,000 - 800) = 24,200 Finished goods (150,000 + 2,500) = 152,500 (120,000 -1,600) = 118,400 (ii) Actual overhead expenditure (£) Production overhead: Absorbed 112,000 (8,000 x £14) add under absorbed 2,000 Incurred 114,000 Administration overhead: Absorbed 32,000 (8% x 400,000) add under absorbed 1,500 Incurred 33,500 Selling and distribution overhead: Absorbed 16,000 (4% x 400,000) less over absorbed 1,000 Incurred 15,000 (b) Stock valuation: Different methods of raw material stock valuation could be used. The financial accounts might use the 'First in first out' method whereas the cost accountant might use the 'Last in first out' method. (c) Notional rent charge: A notional rent charge represents a cost of using a resource, that is owned by the company, and has no conventional actual cost. 3016/4/07/MA Page 17 of 17 © Education Development International plc 2007