Using the production function q = (z1ª + z2ª)1/a for a manufacturing firm, where z1 denotes labor, z2 denotes capital and a denotes a constant parameter, derive the (i) conditional factor demand functions and (ii) cost function. If a/(a-1) = +1 then show that the cost function will take a very simple form. Briefly explain how market regulators can make use of the cost function for this firm.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
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Problem 11.3P
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Using the production function q =
(z1a + z2ª)1/a for a manufacturing firm, where zı denotes labor, z2 denotes capital and a denotes a
constant parameter, derive the (i) conditional factor demand functions and (ii) cost function. If a/(a-1) = +1 then show that the cost function
will take a very simple form. Briefly explain how market regulators can make use of the cost function for this firm.
Transcribed Image Text:Using the production function q = (z1a + z2ª)1/a for a manufacturing firm, where zı denotes labor, z2 denotes capital and a denotes a constant parameter, derive the (i) conditional factor demand functions and (ii) cost function. If a/(a-1) = +1 then show that the cost function will take a very simple form. Briefly explain how market regulators can make use of the cost function for this firm.
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