Question: Question 4 (25 points) Algorithm Design Given the following LP: maximizeZ=j=1ncjxjsubjecttoj=1najxjbxj0 a) Write the dual of this problem (5 points): b) Design an algorithm to

Question 4 (25 points) Algorithm Design Given the

Question 4 (25 points) Algorithm Design Given the following LP: maximizeZ=j=1ncjxjsubjecttoj=1najxjbxj0 a) Write the dual of this problem (5 points): b) Design an algorithm to find the optimal solution to this problem with minimum computational effort (20 points). Hint: The primal problem contains single constraint and n variables while the dual problem has n constraints and one variable. This observation would be helpful in designing an algorithm

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