Question: please do not use any software solver Problem 5: (Linear Programming Duality) [20 points) Given the following linear programming problem: max X1 + 2x2 s.t.

please do not use any software solver

Problem 5: (Linear Programming Duality) [20 points) Given the following linear programming problem: max X1 + 2x2 s.t. - 2x1 + x2 32 - X1 + 2x2 37 X1 33 X1, X2 2.0 (a) (5 points) Write down the Dual LP for the provided problem (b) (5 points) The optimal solution of the primal problem is: x1 = 3, x2 = 5 Determine which of the shadow prices will be equal to 0. (e) (5 points) Determine the remaining dual variables by solving the system of linear equations from the dual LP: (d) (5 points) Recheck the obtained solution using the Strong Duality theorem

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