Question: 1. Apply simplex algorithm (Use Big M Method for second). Determine the optimum solution for each of the following LPs by enumerating all the basic

1. Apply simplex algorithm (Use Big M Method for second). Determine the optimum solution for each of the following LPs by enumerating all the basic solutions (a) Maximize z = 2x1 - 4x2 + 5x3 - 6x4 subject to *4 + 4x2 - 2x3 + 8x4 S 2 --X + 2x2 + 3x3 + 4x4 = 1 X1, X2, 43, x420 (b) Minimize z = x1 + 2x2 3x3 - 2x4 subject to X1 + 2x2 - 3x3 + x4 = 4 X1 + 2xy + x3 + 2x + 4 X1, X2, X3, XA20

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