MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and Beta 5. The firm employs 5 technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (that is, 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 assembly each Beta 5 model. MSA wants to produce at least 10 Alpha 4s and at least 15 Beta 5s. Alpha 4s generate $1200 profit per unit, and Beta 5s yield $1800 each. Formulate a linear optimization model and solve this problem using Excel solver. If an additional assembler can be hired full-time (160 hours) and the wage-rate for assemblers is $15/hour should this additional assembler be hired?