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s.t. Derive the Kuhn-Tucker conditions for the program min z(x) hix=b vj without using Lagrangians. (Hint: Express the constraints in standard form.) Show that

s.t. Derive the Kuhn-Tucker conditions for the program min z(x) hix=b vj without using Lagrangians. (Hint: Express the constraints in standard form.) Show that the Lagrangian multipliers (dual variables) associated with the equality constraints are unrestricted in sign.

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