Suppose a Cobb-Douglas Production function is given by the following: P(L,K) = 10L0.9 K0.1 where L is units of labor, K is units of capital, and P(L, K) is total units that can be pro- labor/capital combination. Suppose each unit of labor costs $100 and each unit of capital c Further suppose a total of $140,000 is available to be invested in labor and capital (combir

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### Cobb-Douglas Production Function Exercise

Suppose a Cobb-Douglas Production function is given by the following:

\[ P(L, K) = 10L^{0.9}K^{0.1} \]

where \( L \) is units of labor, \( K \) is units of capital, and \( P(L, K) \) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $100 and each unit of capital costs $700. Further suppose a total of $140,000 is available to be invested in labor and capital (combined).

**A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint?**

- Units of labor, \( L = \) [Input Box]
- Units of capital, \( K = \) [Input Box]

**B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.)**

- Max production = [Input Box] units

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Transcribed Image Text:### Cobb-Douglas Production Function Exercise Suppose a Cobb-Douglas Production function is given by the following: \[ P(L, K) = 10L^{0.9}K^{0.1} \] where \( L \) is units of labor, \( K \) is units of capital, and \( P(L, K) \) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $100 and each unit of capital costs $700. Further suppose a total of $140,000 is available to be invested in labor and capital (combined). **A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint?** - Units of labor, \( L = \) [Input Box] - Units of capital, \( K = \) [Input Box] **B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.)** - Max production = [Input Box] units [Question Help: Video] [Submit Question Button]
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