Question: Consider the following linear programming problem: Max 9 X + 8 Y s.t. 19 X + 5 Y 95 12 X + 6 Y 72

Consider the following linear programming problem:

Max 9X + 8Y
s.t.
19X + 5Y 95
12X + 6Y 72
X + Y 9
X, Y 0

(a) Use a graph to show each constraint and the feasible region.

(b) Identify the optimal solution point on your graph. What are the values ofXandYat the optimal solution?

(X,Y) = ?

(c) What is the optimal value of the objective function?

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