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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....