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

Cobb Douglas utility function for consumption is a particular functional form of the production…

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).

ENGR.ECONOMIC ANALYSIS

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Chapter1: Making Economics Decisions

Section: Chapter Questions

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Question

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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