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Answers
1. Costs activity
- The accountant should know better than to mix up fixed
and variable costs in this way - unless it is a deliberate
attempt to confuse the issue! When taking a decision on
whether to use a service or not, or which level of service
to use, any costs which are not affected by the decision
(fixed costs) should be ignored; only those costs which
change as a result of the decision (variable costs) are
relevant. This an important principle, which is easy to
see in this simple example but less easy to spot in more
complex, real life decisions.
- Licences and insurance are the same whatever the mileage
and are fixed costs; petrol and oil and repairs vary directly
with the mileage and are variable costs; depreciation does
vary with mileage but not proportionately - doubling the
mileage does not double the depreciation - hence depreciation
may be classified as semi-fixed or semi-variable.
- Once costs have been classified it becomes easy to budget
costs at a new mileage:
| Miles pa. |
5,000 |
15,000 |
25,000 |
30,000 |
| Costs |
£ |
£ |
£ |
£ |
Tax,
Insurance |
750 |
750 |
750 |
750 |
| Fuel, oil |
1,000 |
3,000 |
5,000 |
6,000 |
| Depreciation |
2,500 |
3,500 |
4,500 |
5,000 |
| Repairs |
500 |
1,500 |
2,500 |
3,000 |
| Total |
4,750 |
8,750 |
12,750 |
14,750 |
| Cost per mile |
0.95 |
0.58 |
0.51 |
0.49 |
2. Break - even activity
The old selling price will not give sufficient contribution
to allow the canteen to break-even, even at full capacity
utilisation. At the costs given it would be necessary to increase
the capacity (unlikely in the short term) or to increase prices.
Just as we can calculate a break-even from fixed costs, variable
costs per meal and selling price per meal, we can also calculate
a required selling price from an assumed break-even volume.
In the revised budget below we assume a wish to break-even
at 700,000 meals; this implies a contribution of (63000/700000
= ) .09, which with variable costs of .66 implies a selling
price of £.75 or 75p per meal:
| |
Last year |
Next year
budget |
A revised budget |
| Costs |
£ |
£ |
£ |
| Food |
0.45 |
0.50 |
0.50 |
| Fuel etc. |
0.15 |
0.16 |
0.16 |
| Total |
0.60 |
0.66 |
0.66 |
Selling
Price |
0.72 |
0.72 |
0.75 |
| Contribution |
0.12 |
0.06 |
0.09 |
| |
Annual fixed costs |
| |
£ |
£ |
£ |
| Wages |
36,000 |
38,000 |
38,000 |
| Overheads |
24,000 |
25,000 |
25,000 |
| Total fixed costs |
60,000 |
63,000 |
63,000 |
| |
Number of meals to break-even |
| |
500,000 |
1,050,000 |
700,000 |
Try another revised budget with a more prudent break-even
assumption of 500,000 meals.
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