Question: Problem 1 Determine the optimum solution for each of the following LPs by enumeratiog all the basic solutions. (a) Maximize z - 2x1 4x2 +

Problem 1 Determine the optimum solution for each of the following LPs by enumeratiog all the basic solutions. (a) Maximize z - 2x1 4x2 + 5x3 6x4 subject to X1 + 4x2 - 2x3 + 8x4 = 2 -X1 + 2x2 + 3x3 + 4x4 = 1 X1, X2, X3, X4 = 0 (b) Minimize z = x1 + 2x2 - 3x3 - 2x4 subject to x1 + 2x2 - 3x3 + X4 - 4 x1 + 2x2 + x3 + 2x4 = 4 X1, X2, X3, X4 = 0

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