A company manufactures a product using inputs x, y and z according to the production function Q(x, y, z) = 20x2yz The prices per unit are $4 for x, $2 for y and $1 for z. What quantity of each input should be used in order to manufacture 1200 units of the product (i.e. Q = 1200) at minimum cost?

Managerial Economics: A Problem Solving Approach
5th Edition
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
Chapter4: Extent (how Much) Decisions
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A company manufactures a product using inputs x, y and z according to the production
function
Q(x, y, z) = 20x2yz
The prices per unit are $4 for x, $2 for y and $1 for z. What quantity of each input should
be used in order to manufacture 1200 units of the product (i.e. Q = 1200) at minimum
cost?
Transcribed Image Text:A company manufactures a product using inputs x, y and z according to the production function Q(x, y, z) = 20x2yz The prices per unit are $4 for x, $2 for y and $1 for z. What quantity of each input should be used in order to manufacture 1200 units of the product (i.e. Q = 1200) at minimum cost?
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