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Suppose That a Firm's Production Function Is Given by Q

question 27

Essay

Suppose that a firm's production function is given by Q = KL (MPK = L and MPL = K), where Q is quantity of output, K is units of capital, and L is units of labor. The price per unit of labor and capital are $30 and $20, respectively.
a. How many units of labor and capital should the firm use if it wants to minimize the cost of producing 600 units of output?
b. Suppose that the firm makes a technological change, transforming its production function to Q = 1.23KL (MPK = 1.23L and MPL = 1.23K). What is the minimum cost of producing 600 units of output?

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Definitions:

Collectivist Cultures

Societies or cultures that prioritize the group over the individual, emphasizing community, cooperation, and shared values.

Economic Activity

Actions that involve the production, distribution, and consumption of goods and services within an economy.

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An individual's subjective evaluation of their own worth, characterized by attitudes of approval or disapproval about oneself.

Persuaded

The act of being convinced to do or believe something through reasoning or argument.

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