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Solve the following LP by big M method and identify the optimal solution case. Please provide detailed steps. Thank you min z = x1 +

Solve the following LP by big M method and identify the optimal solution case. Please provide detailed steps. Thank you

min z = x1 + 2x2 s. t. 2x1 + X2 + 3x3 = 4 X1 + *2 + 2x3 5 2 *1 + 2x2 + 2x3 2 3 X1,X2, X3 20 min z = X1 + X2 s. t. 2x1 + 4x2 2 4 X1+ x2 27 X1, X2 2 0

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