Question

Benoit Company produces three products—A, B, and C. Data concerning the three products follow (per unit): Product A B C Selling price $ 84.00 $ 66.00 $ 74.00 Variable expenses: Direct materials 25.20 18.00 9.00 Other variable expenses 25.20 31.50 42.80 Total variable expenses 50.40 49.50 51.80 Contribution margin $ 33.60 $ 16.50 $ 22.20 Contribution margin ratio 40 % 25 % 30 % The company estimates that it can sell 850 units of each product per month. The same raw material is used in each product. The material costs $3 per pound with a maximum of 5,700 pounds available each month. Required: 1. Calculate the contribution margin per pound of the constraining resource for each product. 2. Which orders would you advise the company to accept first, those for A, B, or C? Which orders second? Third? 3. What is the maximum contribution margin that the company can earn per month if it makes optimal use of its 5,700 pounds of materials?

Answer 1

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

	A	B	C
1.Contribution margin per unit	33.60	16.50	22.20
2.Pound per unit(25.20/3:18/3:9/3)	8.40	6.00	3.00
3.Contribution margin per pound(1/2)	4.00	2.75	7.40

2. Which orders would you advise the company to accept first, those for A, B, or C? Which orders second? Third?

Product	Rank
A	Second
B	Third
C	First

3. What is the maximum contribution margin that the company can earn per month if it makes optimal use of its 5,700 pounds of materials?

Total Pounds available	5700 pound
Product C (850*3)	2550
Product A (3150/8.4)	375 unit

Maximum contribution = (2550*7.4+375*33.60) = 31,470