Suppose we have one consumer with a Cobb Douglas utility function for consumption, x, and leisure, R: u(x, R) = a ln r+(1-a) ln R. The consumer is endowed with one unit of labor/leisure and there is one firm with a constant-returns to scale technology: x = aL. Determine r(p, w) ane R(p, w).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.14P
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2.B
Suppose we have one consumer with a Cobb Douglas utility function for consumption, x, and
leisure, R : u(x, R) = a ln r+(1-a) In R. The consumer is endowed with one unit of labor/leisure
and there is one firm with a constant-returns to scale technology: r aL. Determine r(p, w) and
R(p, и).
Transcribed Image Text:Suppose we have one consumer with a Cobb Douglas utility function for consumption, x, and leisure, R : u(x, R) = a ln r+(1-a) In R. The consumer is endowed with one unit of labor/leisure and there is one firm with a constant-returns to scale technology: r aL. Determine r(p, w) and R(p, и).
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