Question: Problem 6. Solve these problems using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the

Problem 6. Solve these problems using graphical

Problem 6. Solve these problems using graphical linear programming and answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables. a. Maximize Z= 4x + 3x2 Subject to Material 6x1 + 4x2 48 lb Labor 4x + 8x2 80 hr x1,x2 2 0 b. Maximize Z= 2xy + 10x2 Subject to Durability 10x1 + 4x2 40 wk Strength 1x1 + 6x2 > 24 psi Time 1x1 + 2x2 5 14 hr X1, X2 2 0 c. Maximize Z= 6A + 3B (revenue) Subject to Material 20A + 6B 600 lb Machinery 25A + 20B 1,000 hr Labor 20 A + 30B 5 1,200 hr A, B 2 0 (1) What are the optimal values of the decision variables and Z? VI V

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