Consider a feasible solution x to a standard form problem, and let Z = {i |...

 

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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.) 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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solution Suppose di A is a man matin and da dz mana Given zi ni oh wh... View the full answer