Marshall, Inc., produces three products but weekly demand for
the three products exceed the available amount of machine time.
Following is information about each product:
Product A | Product B | Product C | |||||||||
Contribution margin per unit | $ | 300 | $ | 400 | $ | 150 | |||||
Machine hours per unit | 3 | 2 | 0.50 | ||||||||
Weekly demand (units) | 100 | 300 | 800 | ||||||||
(a.) Determine how many units each of Product A, Product B, and
Product C that Marshall, Inc., should produce each week assuming
1,000 hours of available machine time.
Requirement (a):
Product A |
Product B |
Product C |
|
Contribution margin per unit | $300 | $400 | $150 |
x Weekly demand (units) | 100 | 300 | 800 |
= Total contribution margin | $30,000 | $120,000 | $120,000 |
Machine hours per unit | 3 | 2 | 0.5 |
x Weekly demand (units) | 100 | 300 | 800 |
Total machine hours | 300 | 600 | 400 |
To get maximum profit, The total 1,000 hours should be assigned on the basis of highest contribution margin.
Product C & Product B had highest contribution margin.
Therefore, to get maximum profit those 1,000 hours Should be assigned as follows,
And Product A should be ignored.
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