Question: SIMPLEX METHOD AND DUALITY: Q/4 Consider the following linear programming problem: maximize: Z = x1 +2x2+3x3+4x4 subject to: x1 + 2x2+2x3 +3x424 2x1+x2 +3x3 +2x4

SIMPLEX METHOD AND DUALITY: Q/4 Consider the

SIMPLEX METHOD AND DUALITY: Q/4 Consider the following linear programming problem: maximize: Z = x1 +2x2+3x3+4x4 subject to: x1 + 2x2+2x3 +3x424 2x1+x2 +3x3 +2x4 16 x1, x2, x3, x4 201 1. Find an optimal solution by using simplex method. 2. Determine the dual problem and its solution without using simplex method. (justify your answer)

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