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:

	Product
	A				B				C
Selling price	$	180			$	300			$	240
Variable expenses:
Direct materials		18				90				27
Other variable expenses		126				120				177
Total variable expenses		144				210				204
Contribution margin	$	36			$	90			$	36
Contribution margin ratio		20	%			30	%			15	%

The same raw material is used in all three products. Barlow Company has only 6,300 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 $9 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 6,300 pounds of raw material on hand?

3. Assuming that Barlow’s estimated customer demand is 600 units per product line, what is the maximum contribution margin the company can earn when using the 6,300 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 600 units per product line and that the company has used its 6,300 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?

Please show clear steps

Answer 1

Solution 1:

Computation of contribution margin per pound - Barlow company
Particulars	Product A	Product B	Product C
Contribution margin per unit	$36.00	$90.00	$36.00
Raw material required per unit (In pound)	2	10	3
Contribution margin per pound of material	$18.00	$9.00	$12.00
Rank	1	3	2

Solution 2:

As demand of each product is unlimited therefore entire material will be used in production of Product A.

Nos of units to be produced for Product A =6300 / 2=  3150 units

Maximum contribution margin = 3150 * $36 = $113,400

Solution 3:

If maximum demand of product is 600 units then optimal use of material to earn maximum contribution margin

Product A = 600 units *2 = 1200 Pounds

Product C = 600*3 = 1800 Pounds

Product B = 330*10 = 3300 Pounds

Maximum contribution margin that company can earn = (600*$36) + (600*$36) + (330*$90)

= $72,900

Solution 4:

Additional pound of material will be utilized to Produce product B.

Therefore the highest price that Barlow company is willing to pay for additional pound of material = Regular price + Contribution margin per pound of product B

= $9 + $9 = $18 per pound