Ass - 12 new.docx - Assignment 12(December 3 December 7 1 Use the Lagrange multiplier method to write the first-order conditions for the maximum of the

# Ass - 12 new.docx - Assignment 12(December 3 December 7 1...

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Assignment 12 (December 3 – December 7) 1. Use the Lagrange multiplier method to write the first-order conditions for the maximum of the function y x y x f ) , ( , subject to 1 y ax , where a is a real parameter. For what values of a solution exists? Check sufficiency condition. 2. Find the points of relative optimum and classify them using second-order conditions: extr z y x u 2 2 s.t. w yz x 2 3 , w is a real parameter. 3. Find the points of relative optimum and classify them using second-order conditions: extr y z x u ) ( s.t. 2 , 2 2 2 z y y x , where all the variables are positive.

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• Spring '16
• Robert Stavins
• Set Theory, Georg Cantor, lagrange multipliers, Joseph Louis Lagrange

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