Question: Consider the following linear programming problem: Min z{ + 2x5 s.t. 1+ 3xqe > 90 83':1 - 2:{:2 Z 160 3:1':1 - 2:{:2 Z 120

Consider the following linear programming problem: Min z{ + 2x5 s.t. 1+ 3xqe > 90 83':1 - 2:{:2 Z 160 3:1':1 - 2:{:2 Z 120 9 f;'? 1, T2 ;f 0 a. Write the problem in standard form. Identify slack/surplus variables. (10 points) 180 150 7 - ) . What are the values of the slack and b. The optimal solution of the above LP model is ( surplus variables at the optimal solution? (12 points)

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