Question: 1. Consider the following linear programming problem: Min s.t. x + 2x2 X; + 3x, 2 90 8x, + 2x, 2160 3x, + 2x, 2

1. Consider the following linear programming

1. Consider the following linear programming problem: Min s.t. x + 2x2 X; + 3x, 2 90 8x, + 2x, 2160 3x, + 2x, 2 120 *, s 70 X,X, 20 a. Write the problem in standard form. Identify slack/surplus variables. (10 points) b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of the slack and surplus variables at the optimal solution? (12 points)

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