Construction workers in the town of Cortland, NY have Cobb-Douglas utility for labor and consumption, UL=(20-L)C, MRS=C20-L where L is the number of hours of labor supplied in a day and C is the dollar amount of consumption goods purchased with wage income (pc=$1 ). R=20-L is the number of hours of leisure that the worker has during the day. Derive the labor supply function for workers in Cortland. Draw the labor supply curve on a graph with L on the horizontal axis and w on the vertical axis.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.2P
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  1. Construction workers in the town of Cortland, NY have Cobb-Douglas utility for labor and consumption,

UL=(20-L)C,

MRS=C20-L

where L is the number of hours of labor supplied in a day and C is the dollar amount of consumption goods purchased with wage income (pc=$1 ). R=20-L is the number of hours of leisure that the worker has during the day.

  1. Derive the labor supply function for workers in Cortland.
  2. Draw the labor supply curve on a graph with L on the horizontal axis and w on the vertical axis.
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