Use the Simplex Method and the duality principle to solve the linear programming problem. Show every necessary steps.  Minimize C = x1 + 2x2 + 3x3 + 4x4 Subject to x1 + x3 ≥ 1 x2 + x4 ≥ 1 −x1 − x2 − x3 − x4 ≥ −3 x1, x2, x3, x4 ≥ 0

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Use the Simplex Method and the duality principle to solve the linear programming problem. Show every necessary steps. 
Minimize C = x1 + 2x2 + 3x3 + 4x4
Subject to x1 + x3 ≥ 1
x2 + x4 ≥ 1
−x1 − x2 − x3 − x4 ≥ −3
x1, x2, x3, x4 ≥ 0

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