In any given week, Anne receives satisfaction only from the consumption of goods and from the consumption of leisure L, which is measured in hours. Obviously, Anne consumes many different types of goods, but for simplicity we aggregate the dollar value of all the goods that she consumes during the week and call it C. Assume that if Anne chooses to work, the hourly wage rate is w = 9 and she has to sleep 8 hours per day. (Sleeping time is not considered leisure.) Potentially, if she wants, she can work up to 7 days a week. If Anne chooses to devote 0 hours to leisure during the week, how much can she consume? C = If Anne chooses to devote all available hours (except those she has to sleep) to leisure during the week, how much can she consume? C = If Anne chooses to devote 27 hours to leisure during the week, how much can she consume? C =

In any given week, Anne receives satisfaction only from the consumption of goods and from the consumption of leisure L, which is measured in hours. Obviously, Anne consumes many different types of goods, but for simplicity we aggregate the dollar value of all the goods that she consumes during the week and call it C. Assume that if Anne chooses to work, the hourly wage rate is w = 9 and she has to sleep 8 hours per day. (Sleeping time is not considered leisure.) Potentially, if she wants, she can work up to 7 days a week. If Anne chooses to devote 0 hours to leisure during the week, how much can she consume? C = If Anne chooses to devote all available hours (except those she has to sleep) to leisure during the week, how much can she consume? C = If Anne chooses to devote 27 hours to leisure during the week, how much can she consume? C =

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.1P

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In any given week, Anne receives satisfaction only from the consumption of goods and from the consumption of leisure L, which is measured in hours. Obviously, Anne consumes many different types of goods, but for simplicity we aggregate the dollar value of all the goods that she consumes during the week and call it C. Assume that if Anne chooses to work, the hourly wage rate is w=9 and she has to sleep 8 hours per day. (Sleeping time is not considered leisure.) Potentially, if she wants, she can work up to 7 days a week.
A) Ana decides every day how many hours to work and how much beef to consume. She spends all income earned from work each day on consumption of beef. Her utility function for free time (t, 24 hours minus hours worked) and consumption (y) is: U(t, y) = 2t + y The price per unit of beef consumed is 4 and her hourly wage is 1. • Using a diagram and appropriate algebra, explain what Ana's optimal number of hours work and units of beef consumed are each day. Ana reads a book about the impact of beef consumption on climate change and realises that there is a cost to society of her beef consumption. She takes account of this impact on society in her own decisions, incorporating a disutility of -0.03y per unit of beef consumed. She still only consumes beef and spends all income earned each day on this consumption. • Explain, using a diagram and appropriate algebra, how recognition of the impact of her consumption choice on climate change impacts on Ana's daily free time and beef consumption…
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?
4.1 Cindy gets utility from consumption (C) and leisure (L), and has a weekly timebudget ofT= 110 hours. Her utility function isU(C, L) = C L. She receives $660 each week from her great-grandmother regardless of how much Cindy works. What is Cindy's reservation wage? 4.2What is Cindy's optimal labor supply (h) and consumption (C) if her wage is 10 dollars per hour? Show your work.4.3
Refer to the labor–leisure budget constraint shown to answer the questions. This curve shows trade-offs between income and leisure that must be made over the course of one day. How much does this person earn per hour? $ At point A, how many hours of labor are selected? hourshours At point A, how many hours of leisure are selected? hours
Consider the following labor-leisure choice model. Utility function over consumption (C) and leisure (L) U(C.L) = (1/3L1/3 Total hours: H = 40 Labor hours: NS = H - L Non-labor income: π = 30 Lumpsum tax: T = 10 Hourly wage: w = 4 Suppose the hourly wage changes to w = 3. What is the substitution effect of this change on labor supply? A. +2.65 B. -2.65 C. +3.48 D.-3.48 E. None of the above
Explain in detail Discuss the possible substitution effect and the income effect of an increase in income on leisure time.
Suppose Jenny has 16 hours per day to allocate between work and leisure and she earns a wage rate of $25 per hour. If at the utility-maximizing level of employment (i.e., MRSy; = w), Jenny's MUy is 20 utils, what is her MUl? O A. 1.25 utils O B. 0.8 utils O C. 500 utils O D. Cannot be determined with the information provided.
According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuringplan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Priorto restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). Tohire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishidetermine that its marginal productivity of capital is 0.5 small cars per hour at its new targetedlevel of output and that capital is procured in a highly competitive market. The same studyindicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine therate at which Mitsubishi can rent capital and marginal productivity of labour at its new targetedlevel of output. To minimize costs…
According to the Wall Street Journal, Mitsubishi Motors recently announced a major restructuring plan in an attempt to reverse declining global sales. Suppose that as part of the restructuring planMitsubishi conducts an analysis of how labour and capital are used in its production process. Prior to restructuring Mitsubishi’s marginal rate of technical substitution is 0.15 ( in absolute value). To hire workers. Suppose that Mitsubishi must pay the competitive hourly wage of US$ 15. In thestudy of production process and markets where capital is procured, suppose that Mitsubishi determine that its marginal productivity of capital is 0.5 small cars per hour at its new targeted level of output and that capital is procured in a highly competitive market. The same study indicates that the average selling price of Mitsubishi’s smallest car is US$ 9500. Determine the rate at which Mitsubishi can rent capital and marginal productivity of labour at its new targeted level of output. To minimize…
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 f is strictly concave. Winona’s wage is w0= $15/hr. initially, then it rises to w1= $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.
Carlos has 168 hours per week to divide between labour and leisure. For his job, Carlos is allowed to work up to 60 hours a week earning a wage of $25, but faces a payroll tax of 20%. Given these constraints, Carlos chooses to work 40 hours per week. Graph the budget constraint and indicate the optimal choice, make sure to label all important points.