The Lifang Wu Corporation manufactures two models of industrialrobots, the Alpha 1 and the Beta 2. The firm employs 5 technicians,working 160 hours each per month, on its assembly line. Managementinsists that 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 1 robot and 25labor-hours to assemble each Beta 2 model. Wu wants to see at least10 Alpha 1s and at least 15 Beta 2s produced during the productionperiod. Alpha 1s generate a $1,200 profit per unit, and Beta 2syield $1,800 each.
a. Determine the most profitable number of each model of robotto produce during the coming month.
b. What is the total profit?
c. What if there was a reduction in 50 hours, what impact, interms of profit, would this decision have?
