Question: 1. Solve the following LP problem by the simplex algorithm: Minimize cost = 4X1 + 5X2 subject to X; + 2X2 2 80 3X, +

1. Solve the following LP problem by the simplex

1. Solve the following LP problem by the simplex algorithm: Minimize cost = 4X1 + 5X2 subject to X; + 2X2 2 80 3X, + X2 > 75 X1 X2 > 0 What are the values of the basic variables at each iteration? Which are the nonbasic variables at each Iteration? 2. Consider the following optimal tableau, where Si and S2 are slack variables added to the original problem: C $10 $30 $0 $0 SOLUTION MIX X X2 S S2 QUANTITY $10 X 1 4 2 0 160

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