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Barlow Company manufactures three products—A, B, and C. The selling price, variable costs, and contribution margin...

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 $ 160 $ 270 $ 240
Variable expenses:
Direct materials 16 80 32
Other variable expenses 108 90 148
Total variable expenses 124 170 180
Contribution margin $ 36 $ 100 $ 60
Contribution margin ratio 23 % 37 % 25 %

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?

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Answer are highlighted in yellow: Solution: Particulars Direct Material cost per unit Direct Material cost per pound Direct Material per unit in pounts Contribution Margin per unit 1) Contribution Margin per pound (CM/DM per pound) 18 16 80 32 2.0 36 4.0 10.0 100 10 $ 15 Rank: 2) Maximum Contribution Margin at unlimited demand (6000 18) 108000 3) Contribution Margin at 500 demand: Total Unit in demand Direct Material requirement in pounds Pound required Allocation of Direct Material per Rank (3000 plugged) Contribution Margin per pound Maximum Contribution Margin (at 500 demand) 10 5000 3000 4 1000 1000 10 $15 $18,000 $ 30,000 $ 30,000 78,000 4 Highest price willing to pay per pound 18 (Cost per pound Equal to contribution margin per pound of remaining product B)

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