Question: Solve the following linear programming models graphically, AND answer the following questions for each model: . Shade the feasible region. What are the extreme points?

Solve the following linear programming models

Solve the following linear programming models graphically, AND answer the following questions for each model: . Shade the feasible region. What are the extreme points? Give their (X1, X2)-coordinates. Plot the objective function on the graph to demonstrate where it is optimized. What is the optimal solution? What is the objective function value at the optimal solution? Problem 1 max 6.5x + 10x2 s.t. 2x1 + 4x2 S 40 X1 + x2 0 Problem 2 min 8x1 + 6x2 s.t. 4x2 + 2x2 > 20 -6x1 + 4x2 s 12 x1 + x2 2 6 X1,x2 > 0 Problem 3 min 3x1 + 6x2 s.t. 3x1 + 2x2 0

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