Question: a) Consider a linear programming problem of the form min cx, subject to Ax=b, x0. Show that x* is an optimal solution of the problem

a) Consider a linear programming problem of the form min cx, subject to Ax=b, x0. Show that x* is an optimal solution of the problem if and only if there exists such that. =

()=0

b) Consider a linear programming problem in the form max cx, subject to Axb, x0, and its corresponding dual. Reformulate the dual problem in Chvtal's standard form 2. Interpret the slack variables of the new formulation.

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