A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q = 2KO.50L 0.5 The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to have a total cost of $2000 or TC = $2,000. Find the optimal amount of labour and capital that you will be using, and compute the amount of output.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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A factory that you are managing has an
hourly production process that can be
represented by the following Cobb Douglas
Production function: Q = 2K0.50L 0.5 The
price of one unit of capital per hour is $20
and the price of one unit of labour per hour
is $20. You have been instructed to have a
total cost of $2000 or TC = $2,000. Find the
optimal amount of labour and capital that
you will be using, and compute the amount
of output.
Transcribed Image Text:A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q = 2K0.50L 0.5 The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to have a total cost of $2000 or TC = $2,000. Find the optimal amount of labour and capital that you will be using, and compute the amount of output.
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