Solve this LP problem: 1. Maximize z = 3x₂ + 3x₂ + 3x3 Subject to: 2x₁ + x₂ + x3 ≤ 2 3x₂ + 4x₂ + 3x₂ ≥ 8 , X₂, X₂ ≥ 0 X₁, X₂¹ Requirements: a) Use the M-Technique to show that the optimal solution includes an artificial basic variable, but at zero level. b) Does the problem have a feasible optimal solution? Verify using the Two - Phase Technique and applying the procedure described on the next slide.

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