# Kuhn-Tucker Maximisation

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• November 27th 2012, 06:27 PM
jourdenne
Kuhn-Tucker Maximisation
f(x,y,z)=xyz+z subject to x^2+y^2<6 with x,y,z>(or equal) 0.
Find the 2 solutions and determine the maximiser.

I've found the KT lagrangian and differentiated etc. but now I'm left with those 3 equations and the complementary slackness and can't solve it from there! Please help!
• November 28th 2012, 03:45 AM
jakncoke
Re: Kuhn-Tucker Maximisation
How can you find a maximum for $f(x,y,z) = xyz + z$ where z is unconstrained. I mean z could be any positive real number or zero right? then $f(x,y, \infty) = \infty$.