Problem 2 Simplex Approaches. Consider the following LP and its dualPrimalMinimize x₁ + x2s.t.2x1 + x₂ ≥ 1−x1 − 2x2 ≥ −2-x2 ≥ -0.5Xx1, x2 > 0DualMaximize y₁ - 2y2 - 0.5y32y1 - y2 ≤ 1Y1 - 2y2 - Y3 ≤ 1Y1, Y2, Y3 ≥ 0s.t.Use the simplex method to find an optimal solution to the primal LP. Use the Weak LP Dual-ity Theorem to justify the optimality of your solution. Hint: The proof of the Strong LP DualityTheorem involves deriving the optimal dual solution from the primal. Additionally, the dual of thedual is the primal.

Primal: Objective Functions and Constraints: Based on the given details, the…

Answered: Problem 2 Simplex Approaches. Consider…

Practical Management Science

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Publisher:WINSTON, Wayne L.

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