22. Taro's utility function is U(C, R)= 32√R+C, where R is the amount of leisure. He has 16 hours a day to divide between work and leisure. He gets $10 an hour no matter how many hours he works, but must pay a 20% tax on his labor income. He has also an income of $40 from non-labor income source. How many hours will he choose to work? A) 4 B) 8 C) 10 D) 12 E) 16

22. Taro's utility function is U(C, R)= 32√R+C, where R is the amount of leisure. He has 16 hours a day to divide between work and leisure. He gets $10 an hour no matter how many hours he works, but must pay a 20% tax on his labor income. He has also an income of $40 from non-labor income source. How many hours will he choose to work? A) 4 B) 8 C) 10 D) 12 E) 16

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Kimo is a parent who has $200 in non-labor income. Kimo can earn $10 per hour working between 0 and 60 hours in a week if he works. Draw and label clearly the potential income constraint diagram faced by Kimo What is the slope of the budget constraint
23. A worker has utility over consumption c and leisure I given by U(c,1) = a 6-6 + 18 where 0 << 1 She has T hours to allocate between leisure and work. For each hour she works, she earns a wage of w to spend on consumption c. The price of c is 1. She also receives an additional 'non-labor income' m regardless of how much she works. She maximizes utility subject to the following constraints: contact@cloure.m Assume interior solution, then cw(T-1) +m C≥O 0≤1≤T A. c is normal and I is inferior good. B. c is inferior and I is inferior good. C. c is inferior and I is normal good. D. c is normal and I is normal good. Page 8
Rich's Opportunities. Rich has no nonlabor income, and suppose the price of consumption is $1 per unit. Rich earns $15 per hour, and he has 16 hours in the day to allocate between working and leisure time. The figure be depicts his budget line. consumption (units/day) 240 210 180 150 120 90 60 30 0. 21 4. 6. 8. 10 12 14 16 leisure (hours/day) Rich is thrilled to learn that his folks will give him a $10 daily allowance starting tomorrow. What happens to Rich's opportunities tomorrow? O a. Rich's endowment point shifts left $10. Ob. His budget line shifts up 10 units of consumption per day. O c. The slope of Rich's budget line increases (in absolute value) $10 per day. O d. The slope of Rich's budget line decreases (in absolute value) $10 per hour.
11. A worker derives utility from consumption, C and leisure, L U = U(C, L) and initially faces the constraints p.C = N+w.H H = 24 - L where p is the nominal price of consumption, N> 0 is unearned income, w is the nominal wage and H is hours worked. (a) Derive the budget constraint in terms of C and L and show on a diagram an initial optimal choice of C and L, in which both are positive. (b) State this equilibrium algebraically, and briefly explain how it can be derived. (c) Show that, assuming normality of leisure, for some value N*, if N> N*, the individual will choose not to work. Is the initial level of N in your answers to parts a) and b) greater or less than N*?
21. Let U=x 2 +y 2 is the utility function of a worker who has 10 hours that to be allocatedbetween labour supply (L) and leisure (x). Let y is a consumption good whose price is 1.Wage rate (w) is Rs 1 and non-wage income is 20. Find out L.a) 10 b) 0 c) 5 d) 8 e) none 22. On the basis of the above question, hen w=0 and non-wage income is 40, find out L.a) 10 b) 0 c) 5 d) 8 e) none
Jones, without a job or job prospects, has been on social assistance for the past four months. Social assistance pays a basic benefit of $600 a month with a benefit reduction rate of 75 percent for earned income. Her welfare benefit is given as B = 600 - 0.75E, where E represents monthly earnings. Jones has just been offered a part-time job working 5 hours a day, 5 days a week, earning an hourly wage of $11. Sketch a budget constraint for Jones given the social assistance scheme in place and the wage rate available for part time work. How much income would she earn if she accepted the job? Would Jones still be on social assistance if she took the job? Draw the budget constraint.
Terry attends college and works part-time in a drug store. She can work up to 40 hours each week and is paid $9 per hour. The following table shows her utility from different levels of leisure and income. Refer to the attached picture for the table. 1. Fill in the Marginal Utility columns above. 2. What will be Terry’s total utility from both leisure and income when working 20 hours per week?
Explain in detail Discuss the possible substitution effect and the income effect of an increase in income on leisure time.
just subparts g and h
2. Utility maximization - Trading off labor and leisure The indifference curves on the following graph show Amy's preferences for leisure and consumption for increasing levels of utility, such that her utility increases in both consumption and leisure. Assuming that Amy spends 68 hours each week sleeping, she has a maximum of 100 hours available to her for leisure if she does not work at all. Initially, she works 45 hours (and thus has 55 hours of leisure) and earns $250 per week. Use the grey point (star symbol) to indicate Amy's initial leisure/consumption bundle. Dashed drop lines will automatically extend to both axes. CONSUMPTION (Dollars per week) 1000 900 800 700 600 500 400 300 200 100 0 0 + 10 20 30 40 50 60 70 80 LEISURE (Hours per week) 90 U3 100 110 Initial bundle + $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle ?
3.