1. Write the dual problems of the following LP model: min z = −3x₁ +5x₂ + 6x3 − 2x4 - x₁ - 2x₂ +3x₂ ≤17 2x₁ + x₂ −X3 + 4x4 = −5 H - x₂ +5x3 + x4 ≤9 - X₁ +2x₂-x₂ ≥ 12 | X₁, X4 ≥ 0, X₂ ≤0, x3 free

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