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Accounting for Overheads

VIVA Subject Guide
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1 Introduction

A business needs to know the cost per unit of goods or services that they produce for many reasons.

E.g.   to value stock

  to fix a selling price

  to analyse profitability

In principle, the unit cost of materials and of labour should not be a problem, because they can be measured. It is the overheads that present the real difficulty – in particular the fixed overheads.

E.g.   if the factory costs $100,000 p.a. to rent, then how much should be included in the cost of each unit?

2 Absorption of overheads

To show our approach to solving the problem referred to above, consider the following example:

X plc produces desks.

Each desk uses 3 kg of wood at a cost of $4 per kg, and takes 4 hours to produce.

Labour is paid at the rate of $2 per hour.

Fixed costs of production are estimated to be $700,000 p.a..

The company expects to produce 50,000 desks p.a..

Calculate the cost per desk.

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$ p.u.

Material (3kg × $4)

12

Labour (4hrs × $2)

8

Overheads ($700,000 ÷ 50,000)

14

$34

This method of arriving at an overhead cost p.u. (dividing total overheads by total production) is known as the absorbing of overheads.

(Note that because we need the cost p.u. for things like fixing a selling price, we will usually absorb the overheads based on estimated total cost and estimated production. This can lead to problems later because obviously our estimates may not be correct. We will deal with this problem in the next chapter.)

Although the basic approach to absorbing overheads is not difficult, there are two extra problems that can occur and that you can be asked to deal with.

We will consider each of these problems in turn, and then look at a full example.

3 First problem – more than one product produced in the same factory

In this situation we have to decide on a basis for absorption first.

There are many bases for absorption that could be used (e.g. per unit, per labour hour, per machine hour etc.)

X plc produces desks and chairs in the same factory.

Each desk uses 3 kg of wood at a cost of $4 per kg, and takes 4 hours to produce.

Each chair uses 2 kg of wood at a cost of $4 per kg., and takes 1 hour to produce.

Labour is paid at the rate of $2 per hour.

Fixed costs of production are estimated to be $700,000 p.a..

The company expect to produce 30,000 desks and 20,000 chairs p.a.

(Overheads are to be absorbed on a labour hour basis)

Calculate the cost per unit for desks and chairs

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Total overheads

$700,000

Total labour hours

Desks (30,000 × 4hr)

120,000

Chairs (20,000 × 1 hr)

20,000

140,000

hrs

Overhead absorption rate:$700,000140,000 hr=$5per hour

Costs cards:

Desks

Chairs

Materials (3kg × $4)

12

(2kg × $4)

8

Labour (4hrs × $2)

8

(1hr × $2)

2

Overheads (4kg × $5)

20

(1hr × $5)

5

$40

$15

In practice it would be up to the Management Accountant to decide on the most appropriate basis.

In examinations it will be made obvious to you which basis to use, but read the question carefully.

4 Second problem – more than one department in the factory.

In this situation we need first to allocate and apportion the overheads between each department. We can then absorb the overheads in each department separately in the same way as before.

X plc produces desks and chairs in the same factory. The factory has two departments, assembly and finishing.

Each desk uses 3 kg of wood at a cost of $4 per kg., and takes 4 hours to produce – 3 hours in assembly and 1 hour in finishing.

Each chair uses 2 kg of wood at a cost of $4 per kg, and takes 1 hour to produce – ½ hour in assembly and ½ hour in finishing.

All labour is paid at the rate of $2 per hour.

Fixed costs of production are estimated to be $700,000 p.a.. Of this total, $100,000 is the salary of the supervisors – $60,000 to Assembly supervisor, and $40,000 to Finishing supervisor.

The remaining overheads are to be split 40% to Assembly and 60% to Finishing.

The company expects to produce 30,000 desks and 20,000 chairs.

(Overheads to be absorbed on a labour hour basis)

Calculate the cost per unit for desks and for chairs

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Total overheads:

Total

Assembly

Finishing

Supervisors

100,000

60,000

40,000

Other

600,000

240,000

360,000

(40:60)

$700,000

$300,000

$400,000

Total hours:

Desks (30,000 × 3 hr; 30,000 × 1 hr)

90,000

30,000

Chairs (20,000 × ½ hr; 20,000 × ½ hr)

10,000

10,000

100,000

hrs

40,000

hrs

O.A.R

$3 per hr

$10 per hr

Cost cards:

desk

chair

Materials

12

8

Labour

8

2

Overheads:

Assembly

9

1.50

Finishing

10

5.00

19

6.50

$39

$16.50

The charging of supervisors’ salaries to the relevant department is known as allocation of overheads.

The splitting or sharing of overheads between departments (as in the remaining $600,000 in our example) is known as the apportionment of overheads.

A fuller example of allocating and apportioning overheads:

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Production overhead costs for the period

$

Factory rent

20,000

Factory heat

5,000

Processing Dept – supervisor

15,000

Packing Dept – supervisor

10,000

Depreciation of equipment

7,000

Factory canteen expenses

18,000

Welfare costs of factory employees

5,000

80,000

Processing Dept

Packing Dept

Canteen

Cubic space

50,000 m3

25,000 m3

5,000 m3

NBV equipment

$300,000

$300,000

$100,000

No. of employees

50

40

10

Allocate and apportion production overhead costs amongst the three departments using a suitable basis.

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Total

Processing

Packing

Canteen

Factory rent

20,000

12,500

6,250

1,250

(cubic space)

Factory Heat

5,000

3,125

1,563

312

(cubic space)

Supervisors

25,000

15,000

10,000

–

Depreciation

7,000

3,000

3,000

1,000

(NBV equipment)

Canteen

18,000

–

–

18,000

Welfare

5,000

2,500

2,000

500

(No of employees)

$80,000

$36,125

$22,813

$21,062

5 Reapportionment of service cost centre overheads

Factory cost centres can be broken down into two types:

PRODUCTION COST CENTRES   - these make the cost units.

SERVICE COST CENTRES   - these do work for the production cost centres and one another.

We therefore need to transfer all service cost centre overheads to the production centres so that all production overheads for the period are shared between the production cost centres alone - as it is through these cost centres that cost units flow.

No Inter Service Work Done

If there is just one service department, or if there is more than one service department but there is no work done by one service department for another, then reapportionment is done using a suitable basis (e.g. canteen costs by the number of employees).

Reapportion the canteen costs in Example 4 to the production cost centres.

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Processing

Packing

Canteen

Already apportioned

36,125

22,813

21,062

Recharge canteen

11,701

9,361

(21,062)

(no. of employees)

$47,826

$32,174

–

Inter-Service Work Done

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The problem is a little more complicated if there is more than one service cost centre and where they do work for one another. The way to deal with this is the reciprocal method.

The reciprocal method can be carried out in one of two ways:

  • either the continuous or repeated distribution (tabular) method; or

  • the algebraic method.

Production Depts

Service Centres

X

Y

Stores

Maintenance

$

$

$

$

Allocated and apportioned overheads

70,000

30,000

20,000

15,000

Estimated work done by the service centres for other departments:

Stores

50%

30%

-

20%

Maintenance

45%

40%

15%

-

Reapportion service department costs to departments using:

(a)   repeated distribution method; and

(b)   algebraic method.

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Repeated distribution method

X

Y

Stores

Maintenance

Already allocated

70,000

30,000

20,000

15,000

Recharge stores

10,000

6,000

(20,000)

4,000

–

19,000

Recharge maintenance

8,550

7,600

2,850

(19,000)

–

Recharge stores

1,425

855

(2,850)

570

–

Recharge maintenance

257

228

85

(570)

–

Recharge stores

43

25

(85)

17

–

Recharge maintenance

8

7

2

(17)

–

Recharge stores

1

1

(2)

$90,284

$44,716

–

Algebraic method

Stores:       S = 20,000 + 0.15M     (1)

Maintenance       M = 15,000 + 0.20S     (2)

Replace M in (1):       S = 20,000 + 2,250 + 0.03S

      0.97S = 22,250

      S = 22,250/0.97 = $22,938

Replace S in (2):       M = 15,000 + 0.20 × 22,938

      M = $19,588

X

Y

Stores

Maintenance

Already allocated

70,000

30,000

20,000

15,000

Recharge stores:

($22,938)

11,469

6,881

(22,938)

4,588

Recharge maintenance:

($19,588)

8,815

7,835

2,938

(19,588)

$90,284

$44,716

–

–

Practice questions

Accounting for Overheads

4 questions

Answer the questions one at a time. Your progress is saved so you can leave and come back.

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