Question: 14. Solve the linear programming model formulated in Problem 12 for United Aluminum Company by using the computer. a. Identify and explain the shadow prices

14. Solve the linear programming model formulated in Problem 12 for United Aluminum Company by using the computer. a. Identify and explain the shadow prices for each of the aluminum grade contract requirements. b. Identify the sensitivity ranges for the objective function coefficients and the constraint quantity values. c. Would the solution values change if the contract requirements for high-grade aluminum were increased from 12 tons to 20 tons? If yes, what would the new solution values be? 36. Transform the following linear programming model into standard form and solve by using the computer: maximize Z = 140x1 + 205x2 + 190x3 subject to 10x + 15x2 + 8x35 610 XI 33 12 x 20.4 (x1 + x2 + x3) X1, X2, 4320

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