MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and
ID: 2246830 • Letter: M
Question
MSA Computer Corporation manufactures two models of smartphones, the Alpha 4 and the Beta 5. The firm employs five technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (i.e., all 160 hours of time) be maintained for each worker during next month’s operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 labor hours to assemble each Beta 5 model. MSA wants to see at least 10 Alpha 4s and at least 15 Beta 5s produced during the production period. Alpha 4s generate $1,200 profit per unit, and Beta 5s yield $1,800 each. Determine the most profitable number of each model of smartphone to produce during the coming month.
Explanation / Answer
Maximize profit=number of Alpha 4 computers+ number of Beta 5 computers
Maximize profit=$1,200 + $1,800
total hours = 5 workers * 160 hours each
20 labor hours in alpha 4 + 25 labor hours in beta 5 = 800 hours
and MSA wants atleast 10 minimum no of alpha and 15 minimum no of beta to produce
So by using maximization linear programming(Excel's Linear, Integer, & Mixed Integer Programming) we get,
By building 10 of Alpha 4 computer and 24 of Beta 5 computers we can maximize our profits to $55200
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