MSA Computer Corporation manufactures two models of minicomputers,the Alpha 4 and the Beta 5. The firm employs 5 technicians, working160 hours each per month, on its assembly line. Management insiststhat full employment (that is, all 160 hours of time) bemaintained for each worker during next month's operations. Itrequires 20 labor-hours to assemble each Alpha 4 computer and 25labor-hours to assemble each Beta 5 model. MSA wants to see atleast 10 Alpha 4s and at least 15 Beta 5s produced during theproduction period. Alpha 4s generate a $1,500 profit per unit, andBetas yield $1,800 each.
(a) Determine the most profitable number of Alpha-4 model ofminicomputer to produce during the coming month.
(b) Determine the most profitable number of Beta-5 model ofminicomputer to produce during the coming month.
(c) What is the optimal profit?