Problem

A bicycle assembly plant has a Cobb-Douglas productivity model of q = 3.2x0.25y0.75, where...

A bicycle assembly plant has a Cobb-Douglas productivity model of q = 3.2x0.25y0.75, where x is the number of employees and y is the number of machines. The plant must assemble 6000 bicycles with costs of $65 per employee and $30 per machine. How many employees and how many machines should be used to minimize costs?

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