Question: Solve the following linear programming problem graphically: Z= 400x + 500X2 Maximize subject to 20x1 + 10x2 5x1 + 10x2 3x1 X2 - X1 +

Solve the following linear programming problem

Solve the following linear programming problem graphically: Z= 400x + 500X2 Maximize subject to 20x1 + 10x2 5x1 + 10x2 3x1 X2 - X1 + 4x2 0 a. Graph the constraints and identify the feasible region. (10 points) b. Draw the objective function, then determine the optimal solution(s) and the Maximum value of the objective function. (Show your calculation). (7 points) c. What other method can you choose to find the optimal solution without drawing the objective function? Considering the structure of the feasible region, which method is better? Justify your answer. (3 points)

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