Mathematica Can Someone Help with my Symbolic Optimization in Mathematica

[gsenel]

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...

 

[gsenel]

By the way, the above problem can be directly pasted to the Mathematica notebook...