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How can I solve a Lagrangean mimization problem with a CES constraint?

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How to write a Mathematica 10 code for a solution of

[ScriptCapitalL]= ([Omega]*L+[Rho]*K) - [Lambda]*(Y-[Beta]*(!(
*UnderoverscriptBox[([Sum]), (j = 1), (n)](
*SubscriptBox[([Alpha]), (j)]
*SubsuperscriptBox[(X), (j), ([Rho])])))^(1/[Rho]))
POSTED BY: jsgazevedo Azevedo
Answer
3 months ago