Problem 1. Bottleneck (Constrained Resource) Decision
The constraint at Crumedy Inc. is an expensive milling machine.
The three products listed below use this constrained
resource.
GV OP FB
Selling price unit............................ $420.70 $444.24 $329.13
Variable cost per unit...... ........ $345.80 $349.20 $246.98
Time on the constraint (minutes)....... 7.00 7.20 5.30
Required:
Rank the products in order of their current profitability from the
most profitable to the least profitable. In other words, rank the
products in the order in which they should be emphasized. Show your
work!
Problem 2. Make or Buy Decision
A firm’s manager must decide whether to make or buy a certain item used in the production of vending machines. Cost and volume estimates are as follows:
Make Buy
Annual fixed cost $150,000 None
Variable cost per unit $60 $80
Annual volume (units) 12,000 12,000
The fixed cost relates to rent that would be incurred on facilities and equipment if the “make” option is chosen. This cost would not be incurred if the “buy” option is chosen.
Given these numbers, should the firm make or buy this item? Show your work.
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Answer 1.
Resulting ranking of products: FB, OP, GV
Explanation:
GV | OP | FB | |
Selling price unit | $420.70 | $444.24 | $329.13 |
Less: Variable cost per unit | ($345.80) | ($349.20) | ($246.98) |
= Contribution per unit | $74.90 | $95.04 | $82.15 |
Divide by Time on the constraint | 7.00 minutes | 7.20 minutes | 5.30 minutes |
Contribution margin per unit of the constrained resource | $10.70 | $13.20 | $15.50 |
Resulting ranking of products | 3 | 2 | 1 |
Answer 2:
The firm should make the items.
Explanation:
Total cost of making the items = (Variable cost per unit * Annual volume) + Annual fixed cost = ($60 * 12,000) + $150,000 = $870,000
Total cost of buying the items = (Variable cost per unit * Annual volume) + Annual fixed cost = ($80 * 12,000) + $0 = $960,000
Decision: Since the total cost of making the items is less than the total cost of buying the items, the firm should make the items.
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