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forsale
2 months ago
14

Rough Stuff makes 2 products: khaki shorts and khaki pants for men. Each product passes through the cutting machine area, which

is the chief constraint during production. Khaki shorts take 15 minutes on the cutting machine and have a contribution margin per pair of shorts of $16. Khaki pants take 24 minutes on the cutting machine and have a contribution margin per pair of pants of $32. If it is assumed that Rough Stuff has 4,800 hours available on the cutting machine to service a minimum demand for each product of 3,000 units, how much will profits increase if 100 more hours of machine time can be obtained?
Business
1 answer:
soldi70 [3.6K]2 months ago
8 0

Response:

$8,000

Clarification:

                                                    khaki shorts           khaki pants

machine minutes per unit                    15                         24

contribution margin per unit               $16                       $32

CM per machine minute                  $1.067                   $1.33

minimum demand                            3,000                   3,000

machine minutes required              45,000                72,000

total machine minutes available               288,000

total machine minutes remaining               171,000

production                                             0                       7,125

total production                                3,000                   10,125

total contribution margin               $48,000               $324,000

adding 100 more machine hours will elevate production time by 6,000 minutes, enabling the creation of an additional 250 khaki pants. Thus, the contribution margin increases by 250 x $32 = $8,000

I calculated contribution margin per minute; alternatively, contributing margin per hour could also be computed to identify which product yields better profitability.  Contribution margin per hour for shorts = $64, and for pants = $80. The outcome remains unchanged.

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