Given the following LP Model,
Max 20X + 10Y
s.t.
12X + 15Y ≤ 180
15X + 10Y ≤ 150
3X - 8Y ≤ 0
X , Y ≥ 0
a. Use a graph to show each constraint and the feasible region.
b. Identify the optimal solution point on your graph.
c. Which constraints are binding?
c. What are the values of X and Y at the optimal solution?
d. What is the optimal value of the objective function?