XYZ makes three products A, B, & C that use compound W, the current constrained resource: A B C Selling price per unit $ 20 $ 30 $ 40 Variable cost per unit $ 12 $ 20 $ 20 Pounds of compound W per unit 2 4 4 A total of 2,000 pounds of compound W are available. The demand for each product is infinitely large. To generate the largest contribution margin, how many units of each product should XYZ manufacture? Garrison 16e Rechecks 2017-11-11 Multiple Choice 500 units of B only 500 units of C only 250 units of B and 250 units of C 1,000 units of A only
Answer: Product C 500 units only
Working:
Particulars |
A |
B |
C |
Selling price per unit |
20 |
30 |
40 |
Less: Variable cost per unit |
12 |
20 |
20 |
Contribution margin per unit |
8 |
10 |
20 |
compound W required per unit |
2 |
4 |
4 |
Contribution margin per constrained resources |
4 |
2.5 |
5 |
ranking |
2 |
3 |
1 |
To generate the largest contribution margin:
Use entire 2,000 components of W to make Product C
Because of higher contribution per pound of W
So number of units of Product C can manufacture = 2,000/4=500units
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