Stefanovich company manufactures three products—A, B, and C. The selling price, variable costs, and contribution margin for one unit of each product follow:
Product |
|||||||||||
A |
B |
C |
|||||||||
Selling price |
$ |
180 |
$ |
300 |
$ |
240 |
|||||
Variable expenses: |
|||||||||||
Direct materials |
24 |
80 |
32 |
||||||||
Other variable expenses |
102 |
100 |
148 |
||||||||
Total variable expenses |
126 |
180 |
180 |
||||||||
Contribution margin |
$ |
54 |
$ |
120 |
$ |
60 |
|||||
Contribution margin ratio |
30 |
% |
40 |
% |
25 |
% |
|||||
The same raw material is used in all three products. The company has only 6,600 pounds of raw material on hand and will not be able to obtain any more of it for several weeks due to a strike in its supplier’s plant. Management is trying to decide which product(s) to concentrate on next week in filling its backlog of orders. The material costs $8 per pound.
A foreign supplier could furnish the company with additional stocks of the raw material at a substantial premium over the usual price. Assuming the company’s estimated customer demand is 500 units per product line and that the company has used its 6,600 pounds of raw material in an optimal fashion, what is the highest price the company should be willing to pay for an additional pound of materials?
A | B | C | ||
Selling price | 180 | 300 | 240 | |
Variable expenses: | ||||
Direct materials | 24 | 80 | 32 | |
Other variable expenses | 102 | 100 | 148 | |
Total variable expenses | 126 | 180 | 180 | |
Contribution margin | 54 | 120 | 60 | |
Contribution margin ratio | 30% | 40% | 25% | |
Material Qty required per unit s(In pound) | 3 | 10 | 4 | |
Contribution per 1 unit of raw material | 18 | 12 | 15 | |
Ranking of production | 1 | 3 | 2 | |
No. of Units can be produced with the available material | 500 | 310 | 500 | |
Material consumed(in pounds) | 1500 | 3100 | 2000 | |
(Balancing Figure) | ||||
(6600-1500-2000) | ||||
highest price the company should be willing to pay for an additional pound of materials | 12 | (i.e. Contribution per unit of material for product B whose demand can not be fulfilled from available resources) | ||
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