Question: 1. Use the Simplex algorithm to solve the following LP models: a. max z = 2x1 - x2 + x3 s.t. 3x1 + x2 +

1. Use the Simplex algorithm to solve the

1. Use the Simplex algorithm to solve the following LP models: a. max z = 2x1 - x2 + x3 s.t. 3x1 + x2 + x3 = 60 2x1 + x2 + 2x3 = 20 2xy + 2x2 + x3 = 20 X1, X2, X3 20 b b. min z = 3x1 + 8x2 s.t. 4x + 2x2 = 12 2x + 3x2 5 6 x1, x2 > 0 2. Solve the following LP model with both Big M and Two Phase Simplex Algorithms: min z = 4x + 4x2 + x3 s.t. x1 + x2 + x3 = 2 2xy + x2

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P2) Use the simplex algorithm to solve the following problem: 2.x1 x2 + x3 s.t. 3x1 + x2 + x3 = 60 max z = 2x1 + x2 + 2x3 = 20 2xy + 2x2 + x3 = 20 X1, X2, X3 > 0

please use Tableau to solve this problem Use the simplex algorithm to solve the following LP: max z = x + x2 + x3 s.t. x + 2x2 + 2x3 = 20 2x1 + x2 + 2x3 = 20 2xy + 2x2 + x3 = 20 X1, X2, X3 20

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