LABOR ECONOMICS
8th Edition
ISBN: 9781260004724
Author: BORJAS
Publisher: RENT MCG
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Chapter 2, Problem 4P
To determine
Determine the reservation wage.
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Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 168 hours. Her utility function is U ( C, L) = C x L. This functional form implies that Cindy’s marginal rate of substitution is C/L. Cindy receives $630 each week from her great-grandmother—regardless of how much Cindy works. What is Cindy’s reservation wage?
Darla gets her utility from consumption C and leisure L. The most leisure she can consume in any given week is 110 hours. Her utility function is U(C, L) = C x L. This implies that Darla’s marginal rate of substitution is C / L Darla receives $750 each week from her grandparents–regardless of how much she works. What is Darla’s reservation wage?
Suppose the wage you are being paid per hour doubles form $15 to $30. Would you decide to work more hours or fewer hours ? Is there an income and substitution effect involved in your decision about how many hours you choose to work? If so, what is being substituted for what?
Chapter 2 Solutions
LABOR ECONOMICS
Ch. 2 - Prob. 1RQCh. 2 - Prob. 2RQCh. 2 - Prob. 3RQCh. 2 - Prob. 4RQCh. 2 - Prob. 5RQCh. 2 - Prob. 6RQCh. 2 - Prob. 7RQCh. 2 - Prob. 8RQCh. 2 - Prob. 9RQCh. 2 - Prob. 10RQ
Ch. 2 - Prob. 11RQCh. 2 - Prob. 12RQCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Prob. 9PCh. 2 - Prob. 10PCh. 2 - A worker plans to retire at the age of 65, at...Ch. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - Prob. 14PCh. 2 - Prob. 15P
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- Suppose that Linda receives a fixed payment of $50 and consumes 8 hours of leisure. If her total earnings for the entire day is $300, we know her hourly wage rate must be (there are 24 hours in a day)arrow_forwardJasmine can work as much as 64 hours per week. She receives $200 per week in non-wage income. Her utility function for leisure and consumption is U(R, C) = 320R(1/2) + 2C , where R is hours of leisure and C is consumption. The price of consumption is unity. (a) What is Jasmine's reservation wage?arrow_forwardLucille receives an annual salary of $37,500 based on a 37.5-hour workweek. What are her gross earnings for a two-week pay period in which she works 9 hours of overtime at 1 1/2 times her regular rate of pay? (Assume there are exactly 52 weeks in a year. Round your answer to the nearest cent.) Gross earnings =arrow_forward
- Rebecca's wage is $10 per hour, and she can work up to 60 hours per week. The table and the budget constraint graph show the trade-off that she faces between income and leisure in one week of potential work at this wage. Her manager raises her wage to $15 per hour. Change the graph below to illustrate her new income-leisure budget constraint. The line and the individual endpoints are movable. Assume that nothing else changes. Hours Leisure time Income ($) (hours) worked at $10/hour 0 200 400 600 0 20 40 60 60 40 20 0 Income ($) 1000 900 800 700 600 500 400 300 200 100 0 0 10 20 30 40 50 60 70 80 90 Leisure (hours)arrow_forwardSuppose that Boston consumers pay twice as much hours as she wants at a wage of w, chooses to work 10 hours a day. Her Boss decides to limit the number of hours that she can work to 8 hours per day. Show how her budget constraints and choice of hours change. Is she unambiguously worse off as a result of this change? Why?arrow_forwardSuppose your weekly allowance from your parents is $100 and your part-time job pays $10 per hour. The slope of the line plotting the relationship between the hours worked per week (the horizontal axis) and the income per week (the vertical axis) is $. (Enter your response as an integer.) Suppose you start with 10 hours of part-time work and then decide to increase your time working by 3 hour(s). By how much will your weekly income increase? $. (Enter your response as an integer.) Suppose you start with 10 hours of work and then decide you need additional income of $20 per week. How many additional hours would you have to work? hours. (Enter your response as an integer.)arrow_forward
- 4. Winona has 80 hours to divide between leisure and labor. Her utility function is u(r,c) = f(r) + c, when r represents hours of leisure, c represents dollars of consumption, and fis strictly concave. Winona's wage is wo = $15/hr. initially, then it rises to wi = $20/hr. (i) Explain what happens to Winona's labor supply when the wage rises, and why. (ii) Explain how the answer to (i) would change if Winona were to win a lottery.arrow_forward(Based on Chapter 2, Problem 1 of Benjamin et al., 2031) Amit has $2000 of annual non-labour income. He has 80 hours per week that he can allocate between labour and leisure, for 80 x 52 = 4160 hours per year. His current wage rate is $20 per hour and he chooses to work 2200 hours a year. (a) Draw a leisure - labour diagram, clearly indicating Amit's current labour supply decision. (Your diagram should be clearly labeled and include Amit's budget line and an indifferent curve showing his leisure and consumption of goods and services at his optimal choice. Use the figures provided to find the y-intercept and his consumption if he doesn't work.) (b) Amit's wage rate increases to $25 per hour. In response, he increases his labour supply to 2300 hours. If he were "compensated" accordingly, at this new wage rate he would be just indifferent to working 2200 hours at his original wage rate and working 2400 hours at the new wage. Illustrate Amit's new optimal choice. Use the information…arrow_forwardEdie chooses to work 90 hours per week when the wage rate is $16 per hour. If she is offered time-and-a-half ($24 per hour) for “overtime work” (i.e., hours in excess of 90 per week), will she choose to work longer hours? Support your results with a diagram.arrow_forward
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