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Crew Brew Produces a Popular Brand of Beer in Its

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Essay

Crew Brew produces a popular brand of beer in its mini-brewery located on a small river in Wisconsin. It uses a special formula, combined with the fresh water from the local stream, to produce a drink popular with local folks and tourists who visit during the summer fishing season, and autumn deer hunting season. Crew's production function is: Q = 50K + 50L, where Q = barrels of beer, K = units of capital, and L = units of labor.
(a) Suppose that capital can be purchased for $8 per unit, and labor costs $6 per unit. What is the optimal combination of inputs for the firm to employ?
(b) Suppose that the cost of inputs changes to $7 for a unit of capital, and $9 for a unit of labor. What is the new optimal combination of inputs?
(c) Explain the context in which a firm may use inputs in the combination described above.

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Definitions:

Autocorrelated

Describes data in which sequential data points over time are correlated with each other.

Multiple Regression

A technique utilizing a series of predictor variables in statistics to predict the outcome of a specific response variable.

Independent Variables

Variables in a statistical model that are manipulated or selected by the researcher to determine their effect on the dependent variable.

Independent Variables

Factors in a study or simulation that are adjusted or classified to assess their impact on outcome measures.

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