Question: please do not use any solver software please do not use any software solver Problem 5: (Linear Programming Duality) 120 points) Given the following linear

please do not use any solver software

please do not use any software solver please do not use any solver software please do

Problem 5: (Linear Programming Duality) 120 points) Given the following linear programming problem: max +2.13 $.. - 2x + 22 - X1 +2.9 57 Xy *3.1220 (a) (5 points) Write down the Dual LP for the provided problem S3 (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. Problem 5: (Linear Programming Duality) [20 points) Given the following linear programming problem: max x1 + 2x2 s.t. - 2x1 + x2 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. (c) (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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