Question: I 14. Consider the following linear programming problem and use this graph to answer the questions. (25 pts) Max 2x + 4y st 2x +

I 14. Consider the following linear programming problem and use this graph to answer the questions. (25 pts) Max 2x + 4y st 2x + 2Y S6 X-2Y 20 YSI X,Y 20 a. Use a graph to show each constraint and shade the feasible region that satisfies all the constraints. (14 pts) b. Mark the optimal point by using objective line. (solution is NOT required here) (6 pts) c. Write the model in standard form. (5 pts) 15. Consider the following linear programming problem: (30 pts) a. Use a graph to show cach constraint and shade the feasible region that satisfies all the constraints. (14 pts) b. Mark the optimal solution point on your graph by using objective line. Solve the values of X and Y at the optim solution. (12 pts) c. What is the optimal value of the objective function? (4 pts) Max 4X +4Y 8X +4Y 3 40 2X + 4Y 5 16 X, Y20

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