Question: Consider the primal linear program max 13z2 - 8z3 s.t. - 3z1 + z3 19 4z1 + 2z2 + 7z3 = 10 6z1 +

Consider the primal linear program max 13z2 - 8z3 s.t. - 3z1 + z3 … 19 4z1 + 2z2 + 7z3 = 10 6z1 + 8z3 Ú 0 z1, z3 Ú 0

(a) Formulate the corresponding dual in terms of variables v1, v2, v3.

(b) Formulate and justify all Karush-Kuhn-

Tucker conditions for primal solution zQ and dual solution vQ to be optimal in their respective problems.

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