Suppose w = 5 and the government gives Anne a subsidy of $150. She receives this money unconditionally, regardless of how many hours she works. We define Anne's budget set over bundles of C and L, i.e. (C,L). Placing C on the horizontal axis and L on the vertical axis, depict Anne's budget set. The outer boundary of Anne's budget set has a kink at (C,L)= (150) (fill in the blank) Suppose w = 5 and the government gives Anne a subsidy such that her consumption is at least $150. That is, if she does not work at all, the government gives her $150. If she works enough to earn some d dollars towards consumption, the government gives her $150 - d. If she works enough to earn d≥ 150, the government does not give her anything. We define Anne's budget set over bundles of C and L, i.e. (C,L). Placing C on the horizontal axis and L on the vertical axis, depict Anne's budget set. The outer boundary of Anne's budget set has two kinks. One kink - the one with the higher L of the two - is at (C,L)=(150) (fill in the blank) ... while the other kink - the one with the lower L of the two is at is at (C,L)=(150, _) (fill in the blank)....

Suppose w = 5 and the government gives Anne a subsidy of $150. She receives this money unconditionally, regardless of how many hours she works. We define Anne's budget set over bundles of C and L, i.e. (C,L). Placing C on the horizontal axis and L on the vertical axis, depict Anne's budget set. The outer boundary of Anne's budget set has a kink at (C,L)= (150) (fill in the blank) Suppose w = 5 and the government gives Anne a subsidy such that her consumption is at least $150. That is, if she does not work at all, the government gives her $150. If she works enough to earn some d dollars towards consumption, the government gives her $150 - d. If she works enough to earn d≥ 150, the government does not give her anything. We define Anne's budget set over bundles of C and L, i.e. (C,L). Placing C on the horizontal axis and L on the vertical axis, depict Anne's budget set. The outer boundary of Anne's budget set has two kinks. One kink - the one with the higher L of the two - is at (C,L)=(150) (fill in the blank) ... while the other kink - the one with the lower L of the two is at is at (C,L)=(150, _) (fill in the blank)....

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.10P

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The weekly preferences over consumption (C) and leisure(L) are defined by u(C, L) = √C + 3√L. The person receives a weekly allowance of m from The hourly wage is $18 per hour, and the person can work up to50 hours each week (T = z + L = 50), where z is the number of hours spent working). a)How many hours will the person work if her allowance is m= $450 per week b) What is the smallest allowance m for which the person will stopworking altogether (z∗ = 0) for a wage of w = 18?
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Suppose that the owner of Boyer Construction is feeling the pinch of incrs associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours? (LO2, LO3, LO7)
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Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours? (LO2, LO3, LO7)
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Suppose that a person has 2000 hours to allocate each year between leisure and work. a. Derive the equation of his budget constraint given an hourly wage of $(15)/hour. b) Graph his budget constraint line based on the equation you derived in part a. (Consumption (C) on the vertical axis and leisure (L) on the horizontal axis). Please make sure to include the value for the vertical and horizontal intercepts. c) Now suppose that the local government introduces an income guarantee program for single parents in which the income transfer is $10,000 per year if an individual does not work during that year (this dollar amount represents the benefit guarantee). If the individual decides to work, this transfer program imposes a 100% benefit reduction rate (e. g.. each additional hourly wage earned is reduced by 100%). Derive the new budget constraint equation that corresponds to this scenario. d) Draw the budget line that corresponds to the new scenario on a new graph. (Consumption (C) on the…