Mr. Simpson’s preferences for consumption and leisure can be expressed as U(C,L)=(C-100)(L-68). There are 168 hours in a week available for him to split between work and leisure. He earns $20 per hour after taxes. He also receives $300 worth of welfare benefits each week regardless of how much he works.
What is Mr. Simpson’s optimal level of consumption?
What is Mr. Simpson’s reservation wage?
Suppose that in addition to the $300 government welfare, Mr. Simpson receives from his oversea relative $200 per week. Which of the following changes is consistent with the theory of labor supply?
Mr. Simpson’s preferences for consumption and leisure can be expressed as U(C,L)=(C-100)(L-68). There are 168 hours...
7. ) Shelly's preferences for consumption and leisure can be expressed as U(C, L) (C-100) x (L-40). This utility function implies that Shelly's marginal utility of leisure is C- 100 and her marginal utility of consumption is L - 40. There are 110 (non-sleeping) hours in the week available to split between work and leisure. Shelly earns S10 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works a) Graph...
Clark gains utility from consumption c and leisure l and his preferences for consumption and leisure can be expressed as U(c, l) = 2(√ c)(l). This utility function implies that Clark’s marginal utility of leisure is 2√ c and his marginal utility of consumption is l √ c . He has 16 hours per day to allocate between leisure (l) and work (h). His hourly wage is $12 after taxes. Clark also receives a daily check of $30 from the...
Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function is: a) Derive Cindy's marginal rate of substitution (MRS) b) Suppose Cindy receives $800 each week from her grandmother regardless of how much Cindy works. What is Cindy's reservation wage? Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function...
John’s utility function is represented by the following: U(C,L) = (C-400)*(L-100), where C is expenditure on consumption goods and L is hours of leisure time. Suppose that John receives $150 per week in investment income regardless of how much he works. He earns a wage of $20 per hour. Assume that John has 110 non-sleeping hours a week that could be devoted to work. a. Graph John’s budget constraint. b. Find John’s optimal amount of consumption and leisure. c. John...
Problem #1: Optimal labor supply Clark gains utility from consumption c and leisure l and his preferences for consumption and leisure can be expressed as U(c, l) = 2(√ c)(l). This utility function implies that Clark’s marginal utility of leisure is 2√ c and his marginal utility of consumption is l √ c . He has 16 hours per day to allocate between leisure (l) and work (h). His hourly wage is $12 after taxes. Clark also receives a daily...
2. Cindy gains utility from consumption C and leisure L. The most leisure she can consume in any given week is 80 hours. Her utility function is: U(CL)= (1/3) x L (2/3). a) Derive Cindy's marginal rate of substitution (MRS). Suppose Cindy receives $800 each week from her grandmother-regardless of how much Cindy works. What is Cindy's reservation wage? b) Suppose Cindy's wage rate is $30 per hour. Write down Cindy's budget line (including $800 received from her grandmother). Will...
2. Papa John has preferences over leisure and consumption represented by U(L,C)=3L3C2, where L is leisure hours per day and C is dollars of consumption per day. Papa John has 12 hours of time available for leisure and a nonlabor income of $100 per day. What is Papa John's reservation wage? A. $0.08/hour B. $0.18/hour C. $8.33/hour D. $12.50/hour
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 is10 dollars per hour? Show your work.4.3 4.3 What is her optimal labor supply and consumption if her wage is 5 dollars perhour? What is her...
The indifference curves in the figure below illustrate Alice's preferences over weekly leisure I and weekly consumption c. Alice has 100 hours each week to allocate between work and leisure activities. If Alice works, she has no nonlabor income, but she earns $10 per hour. (The price of consumption is $1 per unit.) If she doesn't work, she receives government aid in the form of a $400 weekly cash grant. Which indifference curve do we use to determine Alice's reservation...
A worker's preferences over consumption (c) and leisure (l) can be represented by U(cl) = cl. The price of consumption is given by p = 1 and the wage by w=1 (a) Suppose we measure leisure in hours per day such that the maximum value I can take is 24. Let's represent hours worked by h; then we have h = 24-1. Write the Budget Constraint of this worker in terms of c and l. (b) Explain briefly why w/p...