Question: 2. THE SIMPLEX METHOD Determine if the following optimization problems have an optimal solution by performing the simplex method. If an optimal solution exists find

an optimal solution by performing the simplex method. If an optimal solution

2. THE SIMPLEX METHOD Determine if the following optimization problems have an optimal solution by performing the simplex method. If an optimal solution exists find the optimal solution ot the dual problem. Show your work. (1) Maximize 21 + 3x9 + 3z subject to the following constraints: ) T1 212 28 ) 2xo + 13 > 15 ) 2z, x5 + x3 15 (2.7) 2x1 - 202 + 23 - 25 (2.8) X1, X2, X3 2 0

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