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Variable overheads £2

------

Variable cost of production £7

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Assume spare capacity and the fixed costs remain unchanged.

Obviously it is cheaper to make than to buy.

However, if the firm is working at full capacity and to make component Q involves moving some of the capacity from product P then the decision is a little more involved.

The following data applies to product P.

Selling price £16

Direct materials £6

Direct labour £4

Variable overhead £2

------

Contribution £4

------

The production rate for product P is 5 units per hour and for component Q is 10.

The effective cost of making a unit of component Q is:

Marginal cost of production £7

Plus Opportunity cost of £2

-----

The effective cost is £9

-----

By switching capacity from product P to component Q there is £2 contribution lost. This is an opportunity cost ie. it is the benefit foregone by choosing one course of action over the other.

4 Limiting factor decisions

Often a company finds that there is a limiting factor or constraint which inhibits its capacity to meet the desired production level. The limiting factor may be any resource eg. materials, labour or machine hours. Management has to decide what is the best way to allocate the scarce resource among the product range in the most effective way so that profits are maximised.

Example:

Product

X

Y

Z

Desired production (units)

1,000

2,000

500

£

£

£

Selling price per unit

35

25

15

Variable cost per unit

15

10

5

-----

-----

-----

Contribution per unit

20

15

10

A special machine is used to manufacture the three products and there are only 15,000 machine hours available.

Product X uses 20 machine hours per unit.

Product Y uses 5 machine hours per unit.

Product Z uses 2 machine hours per unit.

X

Y

Z

Contribution per unit

20

15

10

No. of machine hrs.

20

5

2

Contribution per machine hr.

1

3

5

Ranking

(3)

(2)

(1)

Desired production level

Product Z

500 units x 2 hrs.

1,000 hrs

Product Y

2,000 x 5 hrs

10,000 hrs

Product X

200 x 20

4,000 hrs

Product Z earns 500 units x £10 = £5,000 contribution

Product Y earns 2,000 units x £15 = £30,000 contribution

Product X earns 200 units x£20 = £4,000 contribution

---------

£39,000 contribution

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