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Maximize (nonlinear programming)

  1. Sep 19, 2009 #1
    1. The problem statement, all variables and given/known data
    Maximize xy2z3
    subject to x3 + y2 + z = 39 and x,y,z > 0

    2. Relevant equations

    3. The attempt at a solution
    I know the answer ( I got this from some site)

    x3 + y2 + z = x3 + y2/3 + y2/3 + y2/3 + z/9 + z/9 + z/9 + z/9 + z/9 + z/9 + z/9 + z/9 + z/9 ......
    = c(xy2z3)3/13

    But I do not know how I can determine a constant multiple of a suitable power of (xy2z3).

    Anybody help me
  2. jcsd
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