Show that the price vector is an optimal solution

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Reference no: EM131122313

(Duality and the Max-Flow/Min-Cut Theorem) Consider a feasible max-flow problem and let Q = [S, N -S] be a minimum capacity cut separating s and t. Consider also the minimum cost flow problem formulation for the max-flow problem Show that the price vector

is an optimal solution of the dual problem. Furthermore, show that the max- flow/min-cut theorem expresses the equality of the primal and dual optimal costs.

Reference no: EM131122313

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