Suppose we have one consumer with a Cobb Douglas utility function for consumption, r, 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, w).
Suppose we have one consumer with a Cobb Douglas utility function for consumption, r, 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, w).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Suppose we have one consumer with a Cobb Douglas utility function for consumption, x, and
leisure, R : u(x, R) = a ln a+(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: a = aL. Determine r(p, w) and
R(p, w).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd64548e-1636-47b6-85ed-f19e98806360%2Fe5195002-83b4-44e1-9554-5e4da0f3d5e7%2Fet4qry_processed.jpeg&w=3840&q=75)
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 a+(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: a = aL. Determine r(p, w) and
R(p, w).
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