Use the simplex method to find the optimal solution

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Use the simplex method to find the optimal solution to the following problem. Show all of your tableaus. (Note: Keep 4 decimals in your calculations.). In addition, use Gurobi to solve the problem and provide the code and the output of Gurobi.

Maximize x1 - 2x2 + 4x3

subject to

-5x1 - x2 + x3 <= 12

-2x1 - 2x2 + 2x3 <= 14

2x1 + x2 + 2x3 <= 16

x1, x2, x3 >= 0

Reference no: EM131200162

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