Question

Barlow Company manufactures three products-A, B, and C. The selling price, variable costs, and contribution margin for one unit of each product follow:

The same raw material is used in all three products. Barlow Company has only 6,000 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. 

Required:

 1. Calculate the contribution margin per pound of the constraining resource for each product.

 2. Assuming that Barlow has unlimited demand for each of its three products, what is the maximum contribution margin the company can earn when using the 6,000 pounds of raw material on hand?

 3. Assuming that Barlow's estimated customer demand is 500 units per product line, what is the maximum contribution margin the company can earn when using the 6,000 pounds of raw material on hand?

 4. A foreign supplier could furnish Barlow with additional stocks of the raw material at a substantial premium over the usual price. Assuming Barlow's estimated customer demand is 500 units per product line and that the company has used its 6,000 pounds of raw material in an optimal fashion, what is the highest price Barlow Company should be willing to pay for an additional pound of materials?

Answer 1

1) Contribution margin per pound

	A	B	C
Contribution margin per unit	36	100	60
Pound per unit	2	10	4
Contribution margin per pound	18	10	15

2) Maximum contribution margin = 6000*18 = 108000

3) Maximum contribution margin

	Pound	Unit	Contribution margin
A	500*2 = 1000	500	1000*18 = 18000
C	500*4 = 2000	500	2000*15 = 30000
B	3000	300	3000*10 = 30000
Total	6000		78000

Maximum contribution margin = $78000

4) Highest price = 8+10 = 18 per pound