Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 70L0.9K®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 $1,000 and each unit of capital costs $7,000. Further suppose a total of $2,800,000 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 - Units of capital, K - 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 units

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Chapter7: Production Economics
Section: Chapter Questions
Problem 7E
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Suppose a Cobb-Douglas Production function is given by the following:
P(L, K) = 70L0.9K01
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 $1,000 and each unit of capital costs $7,000.
Further suppose a total of $2,800,000 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 =
Units of capital, K =
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
units
=
Transcribed Image Text:Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 70L0.9K01 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 $1,000 and each unit of capital costs $7,000. Further suppose a total of $2,800,000 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 = Units of capital, K = 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 units =
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