Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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...
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook