Question: Consider the following linear programming model. Max z = x 1 x 2 + 3x 3 subject to x 1 + x 2 20 x

Consider the following linear programming model.

Max z = x1 x2 + 3x3 subject to

x1 + x2 20 x1 + x3 = 5

x2 + x3 10 x1, x2, x3 0

  1. Use the Two-Phase Method to solve this model. Make sure to show the optimal solution and the objective value.
  2. Use the Big M Method to solve this model. Make sure to show the optimal solution and the objective value.
  3. Solve the model with GAMS (Code and output). Make sure to show the codes and the output.

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