The Lifang Wu Corporation manufactures two models of industrial robots, the Alpha 1 and the Beta 2. 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 1 robot and 25 labor- hours to assemble each Beta 2 model. Wu wants to see at least 10 Alpha 1s and at least 15 Beta 2s produced during the production period. Alpha 1s generate a $ 1,200 profit per unit, and Beta 2s yield $ 1,800 each. Determine the most profitable number of each model of robot to produce during the coming month.