Question: (a) Consider the following linear programming problem and its dual minimize cx subject to Ax = b maximize p'b subject to p'Ac, and assume that

(a) Consider the following linear programming problem and its dual minimize

(a) Consider the following linear programming problem and its dual minimize cx subject to Ax = b maximize p'b subject to p'Ac, and assume that both problems have an optimal solution. Fix some j. Suppose that every optimal solution to the primal satisfies = 0. Show that there exists an optimal solution p to the dual such that p,A, -d, and form its dual

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