no population growth Assume Cob-Douglas production Yt = K (AL) E L=1), saving as a constant fractions of output, and no depreciation of capital. Now assume that At = by such that labour becomes more effective as a by-product of the quantity and gk in terms of A, K, and the parameters produced. Derive equations for SA of the model

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.8P
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) Assume Cob-Douglas production Y₁ = K (AL)-a, no population growth (n=0 and assume
L=1), saving as a constant fractions of output, and no depreciation of capital. Now assume
that At = byt such that labour becomes more effective as a by-product of the quantity
K, and the parameters
and
in terms of A,
produced. Derive equations for
SA
K
of the model.
Transcribed Image Text:) Assume Cob-Douglas production Y₁ = K (AL)-a, no population growth (n=0 and assume L=1), saving as a constant fractions of output, and no depreciation of capital. Now assume that At = byt such that labour becomes more effective as a by-product of the quantity K, and the parameters and in terms of A, produced. Derive equations for SA K of the model.
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