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Can Someone Help with my Symbolic Optimization in Mathematica

  1. Apr 20, 2008 #1
    Hi Everyone,

    I need to maximize
    \[Pi] = R*\[Alpha] (1/\[Alpha] (\[Beta]/R)^(1/(
    1 - \[Beta])) - (1 - \[Gamma])*\[Beta]^(2/(
    1 - \[Beta]))*\[Alpha]^(\[Beta]/(
    1 - \[Beta]))) - (1/\[Alpha] (\[Beta]/R)^(1/(
    1 - \[Beta])) - (1 - \[Gamma])*\[Beta]^(2/(
    1 - \[Beta]))*\[Alpha]^(\[Beta]/(1 - \[Beta])))

    with respect to R (R will be in terms of alpha, beta and gamma) under the constraint that beta, alpha and gamma will all be between 0 and 1. How can I solve this symbolic optimization with Mathematica?

    Your help is greatly appreciated....
     
  2. jcsd
  3. Apr 20, 2008 #2
    By the way, the above problem can be directly pasted to the Mathematica notebook...
     
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