Question: Consider a feasible solution x to a standard form problem, and let Z = {i | x = 0}. Show that x is an

Consider a feasible solution x to a standard form problem, and let

Consider a feasible solution x to a standard form problem, and let Z = {i | x = 0}. Show that x is an optimal solution if and only if the linear programming problem minimize c'd subject to Ad = 0 d; 2 0, i e Z, has an optimal cost of zero. (In this sense, deciding optimality is equivalent to solving a new linear programming problem.)

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