Question: Consider a feasible solution x to a standard form LP , and let N = { i : xi = 0 } . Prove that

Consider a feasible solution x to a standard form LP, and let N ={ i : xi =0}. Prove that x is an optimal solution if and only if the linear programming problem min cTd s.t. Ad =0 di >=0,i in N, has an optimal cost of zero.

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