The Cuthill Company manufactures two products: M1 and H1. Each product uses skilled labour and the total hours of skilled labour available for the following year is limited to 23728 hours. Data for each of the two products is as follows:
M1 |
H1 |
|
Contribution margin per unit |
$34.43 |
$52.86 |
Hours of skilled labour per unit |
2.5 |
2.95 |
Maximum product demand (units) |
6208 |
4177 |
What is the maximum contribution margin that can be achieved next
year?
Select one:
a. $425174
b. $434538
c. $404556
d. $377878
Answer: Option D($377878)
Explanation:
M1 | H1 | ||||
Contribution margin per unit(a) | 34.43 | 52.86 | |||
Hours of skilled labour per unit(b) | 2.5 | 2.95 | |||
Contribution margin per hours of skilled labour(a/b) | 13.772 | 17.91864 | |||
Therefore we should allocate the 23728 hours to the product H1 first | |||||
Demand(a) | hrs(b) | Total hrs(c=a*b) | C.M.Per hr (d) | Max.Contribution(c*d) | |
Contribution margin from product H1 | 4177 | 2.95 | 12322.15 | 18 | 220796 |
Contribution margin from product M1 | 4562 | 2.5 | 11405.85 | 14 | 157081 |
23728 | 377878 | ||||
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