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4. (30 points) Consider the following LP: max z = 2x- 4x2 + 5x3 - 6x4 s.t. x1 + 4x2 - 2x3 + 8x4

4. (30 points) Consider the following LP: max z = 2x- 4x2 + 5x3 - 6x4 s.t. x1 + 4x2 - 2x3 + 8x4 2 -x1 + 2x2 + 3x3 + 4x4 1 X1, X2, X3, X4 0 Find the optimum solution using the revised simplex method.

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