Question: Question 2: Consider the following linear program: Max Z = -4x 1 + 2x 2 Subject To -2x 1 + 2x 2 7 x 1

Question 2:

Consider the following linear program:

Max Z = -4x₁ + 2x₂

Subject To

-2x₁ + 2x₂ 7

x₁ 2

x₁ - 4x₂ 0

2x₁ + 2x₂ 10

x₁, x₂ 0

Part A: Write the LP in standard equality form.

Part B: Solve the original LP graphically (to scale). Clearly identify thefeasible region and, if one or more exist, theoptimal solution(s) (provide exact values for x₁, x₂, and Z).

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