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Find extreme values for function of 3 variables and two constraints

  1. Mar 29, 2009 #1
    1. The problem statement, all variables and given/known data
    see problem 7 attachement

    2. Relevant equations

    3. The attempt at a solution
    see problem 7 attempt attachment
    I found the fgrad and ggrad and hgrad. I set fgrad equal to lambda*ggrad+mu*hgrad. using the two constraint equations I was able to solve for x,y,z,lambda,mu. However again I am not sure what to do with these values. Also in this problem is states find the extreme values. does that mean I need to find MIN and MAX. and if so how do i do that. Also can someone please check to see if my algebra is correct in solving for x,y,z,lamdba,mu. Thank you

    Attached Files:

  2. jcsd
  3. Mar 29, 2009 #2
    i need help asap
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