Question: Consider the following linear programming problem: Max 500x1 + 400x2 Subject to: X 1 + x 2 5 (C1) X 1 3x 2 0 (C2)

Consider the following linear programming problem:

Max 500x1 + 400x2

Subject to:

X₁ + x₂ 5 (C1)

X₁ 3x₂ 0 (C2)

10x₁ + 15x₂ 150 (C3)

20x₁ + 10x₂ 160 (C4)

30x₁ + 10x₂ 135 (C5)

X₁, x₂ 0

Solve this problem using the graphical method for solving linear programming problems. Make sure to (1) plot and label the constraints, shade the feasible region, graph the objective function, and identify the optimal solution

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