Question: Find the complete optimal solution to this linear programming problem. Min 3X + 4Y s.t. 12X + 4Y > 48 4X + 8Y > 32

Find the complete optimal solution to this linear programming problem.

Min 3X + 4Y

s.t. 12X + 4Y > 48

4X + 8Y > 32

X, Y > 0

a. Graph to show each constraint and the feasible region. Provide graph on separate page.

b. Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution? X=____________, Y=_______________

c. What is the optimal value of the objective function?

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