Consider the following model: Max 10X + 5Y S.T. Constraint 1 12X + 15Y 180 Constraint

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Question:

Consider the following model:
Max 10X + 5Y
S.T.
Constraint 1 12X + 15Y ≤ 180
Constraint 2 15X + 10Y ≤ 150
Constraint 3 X ≥ 2
Constraint 4 Y ≥ 1
Constraint 5 -5X + 7Y ≤ 0
X, Y ≥ 0

a) Plot all constraints.

b) Determine the feasible region(by shading) indicating the feasible side.

c) Find the optimal solution either by Iso-profit or by enumeration.

d) Use “Excel – Solver” to verify your optimal solution.
(You must submit your excel work to get the full points.