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The following decision variables were used to formulate a linear programming model for this problem:
The following decision variables were used to formulate a linear programming model for this problem: AM = Number of cases of model A manufactured BM = Number of cases of model B manufactured AP = Number of cases of model A purchased BP = Number of cases of model B purchasedMin 10AM + 6 BM + 14AP + 9BPs.t.1AM + 1AP =100 Demand for model A1BM + 1BP =150 Demand for model B4AM + 3BM ≤600 Injection Molding time6AM + 8BM ≤1080 Assembly TimeAM, BM, AP, BP ≥ 0a. Interpret the ranges of optimality for the objective function coefficients.b. Suppose that the manufacturing cost increases to $11.20 per case for model A. What is the new optimal solution?c. Suppose that the manufacturing cost increases to $11.20 per case for model A and the manufacturing cost for model B decreases to $5 per unit. Would the optimal solution change?
