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Math Help - Kuhn-Tucker Maximisation

  1. #1
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    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!
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  2. #2
    Senior Member jakncoke's Avatar
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    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 .
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