Question: Consider the canonical form LP problem : Minimize Z = Z(X) =ex X subject to AX > b, X >0. and its dual form *

Consider the canonical form LP problem : Minimize Z = Z(X) =ex X subject to AX > b, X >0. and its dual form "* : Maximize W = W(Y) = bty subject to AtY 0. (i) Prove that if X and Y are feasible solutions to the given problem and its dual respectiveley, then Z(X) > W(Y) (ii) Consider the LP problem : Maximize ct X X subject to AX 0. where c = [1, 1, 1, ., 1] . Write down the dual of this problem and find its solution

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