Cost minimization when output is unknown an total costs are known. A factory that you are managing has an hourly production process th can be represented by the following Cobb

Managerial Economics: A Problem Solving Approach
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ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Economics
Cost minimization when output is unknown and
total costs are known. 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:Economics Cost minimization when output is unknown and total costs are known. 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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