Question: 2. Consider the following linear program: Maximize 32X + 15Y s.t. Constraint 1 5X + 20Y 120 Constraint 2 8X + 15Y 150 Constraint 3

2. Consider the following linear program:
Maximize 32X + 15Y
s.t.
Constraint 1 5X + 20Y 120
Constraint 2 8X + 15Y 150
Constraint 3 3X - 6Y 30
X,Y 0
a. Show the graph and the feasible region
b. Shade the feasible region
c. Identify the optimal solution point on your graph
d. What are the values of X and Y at the optimal solution?
X Y
e. What is the optimal value of the objective function?

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