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(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 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 (i.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. maxpX1 +qX2(Total profit) s.t. X1u(Alphas) X2v(Betas) 20X1 + 25X2= 800 (Total labor hours) X1,X2 0 (Hint: Each of 5 technicians works 160 per month. Thus, the assembly line operatesexactly800 hours (= 5 technicians160 hours each). Since the management mandates full employment of each worker, the constraint for total labor hours is then anequality(or equation), 20X1+25X2=800.) (MSA Corporation) Find the objective coefficients and right-hand-sides (RHSs). (a) The objective coefficient (p) is ___. [Answer format: integer] (b) The objective coefficient (q) is ___. [Answer format: integer] (c) The RHS (u) is ___. [Answer format: integer] (d) The RHS (v) is ___. [Answer format integer] Write your answer(s) as 1234, 1234, 12, 12, 12
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