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A manufacturing firm has a monthly production of units modeled by?(?, ?) = 50?0.7?0.3 where x...

A manufacturing firm has a monthly production of units modeled by?(?, ?) = 50?0.7?0.3 where x is the number of units of labor and y is the number of units of capital.
The company has a budget of $75,000 per month for labor and capital. If each unit of labor costs $30 and each unit of capital costs $25, how much should the company spend on labor and materials in order to maximize their production?

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