Question: parts b,c,d Problem 5: (Linear Programming Duality) [20 points] Given the following linear programming problen: x1+2x2st.2x1+x2x1+2x2x3x1x22730 (a) (5 points) Write down the Dual L.P for

parts b,c,d parts b,c,d Problem 5: (Linear Programming

Problem 5: (Linear Programming Duality) [20 points] Given the following linear programming problen: x1+2x2st.2x1+x2x1+2x2x3x1x22730 (a) (5 points) Write down the Dual L.P for the provided problem (b) (5 points) The optimal solution of the primul problem is: x1=3,x2=5 Determine which of the shadow prices will be equal to 0 . (c) ( 5 points) Determine the remaining daal variables by solving the system of linear equations from the dual L.P. (d) (5 points) Recheck the obtained solution wsing the Strong Duality theorem

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