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Solve the following linear program using the simplex method. If the problem is two dimensional, graph...

Solve the following linear program using the simplex method. If the problem is two dimensional, graph the feasible region, and outline the progress of the algorithm.

Minimize Z = 3X1 – 2X2 – X3

Subject to 4X1 + 5X2 – 2X3 ≤ 22

                    X1 – 2X2 + X3 ≤ 30

                    X1, X2, X3 ≥ 0

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