Question: Find the optimal solution of the Linear Programming problem below using two phase method . Write the standard form first and then present your solution.

Find the optimal solution of the Linear Programming problem below using two phase method. Write the standard form first and then present your solution. Indicate if there are any special cases.

Maximize Z = x₁ - 7x₂ + 3x₃ + 3x₄

Subject to:

x₁+ 5x₂ - 6x₃ + 2x₄ 3

4x₁ - 2x₂ - 5x₃ + 4x₄ = 15

x₁ - x₃ - 9x₄ -8

x₁, x₃, x₄ 0, x₂ URS

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