Determine relationship which maximizes productivity


Determine relationship between a, b, A, and B which maximizes productivity where f(x,y)=cx^(a)y(b), a + b =1, and Ax + By=M is budget constraint where A is cost of unit of capital, B is cost of the unit of labor, and M is total budget amount. (Particular solution will depend on M, but relationship between other variables does not. Why?) Solution must have formula with a, b, A, and B.

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Mathematics: Determine relationship which maximizes productivity
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