(b) The second in the list of objective values is $ Write your answer(s) as 12345, 12345 Answer format: integer] 1 points QUESTION 13 (MSA Corporation) MSA Corporation manufactures two models of minicomputers, the Alpha and the Beta. Alphas generate $1,200 profit per unit, and Betas yield $1,800 each. MSA wants to see at least 10 Alphas and at least 15 Betas produced during next month's operations. The firm employs 5 technicians, working 160 hours each per month, on its assembly line. Management insists that full employment (.e., all 160 hours of labor) be maintained for each worker during the production period. It requires 20 labor hours to assemble each Alpha computer and 25 labor hours to assemble each Beta model. Formulate an LP to find the best combination of Alphas and Betas for the highest total profit. max pX1 + X2 (Total profit) s.t. X1 2U (Alphas) X2 V (Betas) 20 X 1 + 25 X 2 = 800 (Total labor hours) X1 X2zo (Hint: Each of 5 technicians works 160 per month. Thus, the assembly line operates exactly 800 hours (= 5 technicians x 160 hours each). Since the management mandates full employment of each worker, the constraint for total labor hours is then an equality (or equation), 20 X1 + 25 X2 - 800.) (MSA Corporation) Find the optimal solution (X1. X2") and the corresponding optimal objective value (Z". (a) The optimal number of Alphas is __[Answer format: integer] (b) The optimal number of Betas is_ (Answer format: integer] (c) The maximum total profit is $_ [Answer format: integer) Write your answer(s) as 12, 12, 123456 1 points QUESTION 14 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save