Symbolic Optimization Problem

*To*: mathgroup at smc.vnet.net*Subject*: [mg88502] Symbolic Optimization Problem*From*: "Gonca Senel" <gsenel at bilkent.edu.tr>*Date*: Tue, 6 May 2008 06:46:17 -0400 (EDT)

Dear All, 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 assumption that beta, alpha and gamma will all be between 0 and 1. How can I solve this symbolic optimization with Mathematica? I tried to solve it but I am not very experienced with Mathematica and your help is greatly appreciated. Sincerely, Gonca Senel Bilkent University