Question 3: Shelly's preferences for consumption and leisure can be expressed as: U(C, L) = (C-200) × (L-80) This utility function implies that Shelly's marginal utility of leisure is C -200 and her marginal utility of consumption is L- 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a): Graph Shelly's budget constraint. (b): What is Shelly's marginal rate of substitution when L=100 and she is on her budget line?

Question 3: Shelly's preferences for consumption and leisure can be expressed as: U(C, L) = (C-200) × (L-80) This utility function implies that Shelly's marginal utility of leisure is C -200 and her marginal utility of consumption is L- 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a): Graph Shelly's budget constraint. (b): What is Shelly's marginal rate of substitution when L=100 and she is on her budget line?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Sheila's income and leisure preferences can be expressed by U(Y, L) = 2 x (YL - 40Y - 100L) This utility function implies that Sheila's marginal utility of leisure is 2Y - 200 and her marginal utility of income 2L-80. In a week, there are 168 hours available for her to allocate between work and leisure. Sheila earns $10 per hour after taxes and receives $120 worth of welfare benefits each week during the pandemic regardless of how many hours she decides to work. Assume that the price index is 1. a) What is Sheila's budget line? b) What is Sheila's marginal rate of substitution when L = 100 and she is on her budget line? c) What is Sheila's optimal relationship between income and labour hours? d) What is Sheila's optimal amount of labour hours, leisure hours, and income? e) At the optimal allocation, what is Sheila's utility level? Show your work.
Shelly’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 200) * (L - 80) This utility function implies that Shelly’s marginal utility of leisure is C - 200 and her marginal utility of consumption is L - 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. a. Graph Shelly’s budget line. b. What is Shelly’s marginal rate of substitution when L = 100 and she is on her budget line? c. What is Shelly’s reservation wage? d. Find Shelly’s optimal amount of consumption and leisure.
Katie’s preferences for consumption and leisure can be expressed as U(C, L) = (C – 80) x (L – 40) This utility function implies that Katie’s marginal utility of leisure is C – 80 and her marginal utility of consumption is L – 40. There are 110 hours in the week available to split between work and leisure. Katie earns $15 per hour after taxes. She also receives $200 worth of assistance benefits each week regardless of how much she works. Graph Katie’s budget line. What is Katie’s marginal rate of substitution when L = 70 and she is on her budget line? What is Katie’s reservation wage? Find Katie’s optimal amount of consumption and leisure.
Suppose Marcus eats nothing but burritos for dinner. He buys 30 burritos each month. During the last couple of weeks, Marcus noticed a decrease in the price of burritos. The price of burritos fell from $6.00 per burrito last month to $5.75 per burrito this month. Assume that Marcus has a fixed income of $180 that he can spend on burritos. How many burritos can Marcus afford to buy at the new price of $5.75?
5. Rhoda’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 100) × (L - 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Rhoda earns 10 GHS per hour after taxes. She also receives 320 GHS worth of support from her parents each week regardless of how much she works.a. What will be Rhoda’s marginal utility of leisure and her marginal utility of consumption?b. What is Rhoda’s marginal rate of substitution when L = 100 and she is on her budget line?c. Find Rhoda’s optimal amount of consumption
5. Rhoda’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 100) × (L - 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Rhoda earns 10 GHS per hour after taxes. She also receives 320 GHS worth of support from her parents each week regardless of how much she works.a. What will be Rhoda’s marginal utility of leisure and her marginal utility of consumption?b. What is Rhoda’s marginal rate of substitution when L = 100 and she is on her budget line? c. Find Rhoda’s optimal amount of consumption.
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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
Angela has utility over consumption (C) and leisure (L) that is given by U(C,L)= (C0.5)+6(L0.5) where consumption is measured in dollars and leisure is measured in hours. Each week, Angela has 168 hours to devote to either leisure or working. Suppose Angela is offered a job that pays $10 per hour (such that, if she were to work every hour of the week, she would earn $3,024). If Angela has no income besides that which she earns from working, her budget constraint over consumption and leisure is C +18L = 3,024 Solve for the levels of consumption and leisure that maximize Angela's utility subject to her budget constraint. Angela's utility-maximizing consumption is $ 0 168 utility-maximizing number of leisure hours is in the blanks, and please round to the nearest whole numbers if necessary.) Her hours. (Enter only numbers
Tatum is a mother of Anny (1 year old). Tatum derives utility from income Y (i.e. a disposable income that she can spend on consumption goods other than childcare) and leisure L according to the utility function U(Y,L)=Y*L . She has non-labour income of $300 per day. Her time endowment is 16 hours per day that can be spent either on Leisure (which mostly consists of caring for Anny) or labour market work. If Tatum works she has to leave Anny in the child care. Tatum’s wage is $30 per hour, while the childcare cost $5 per hour. Tatum only uses childcare when she works. Compute how many hours Tatum will work under these circumstances. Round your answer to the second decimal point.
Q1) Deborah has 80 hours per week available for work and leisure. Her current rate is $25 per hour. Deborah has $400 of rental income every week. a) Construct a proper diagram to describe Deborah's choice of working 40 hours per week. Calculate Deborah's maximum possible income and optimal income, and show them in the diagram. b) Suppose Deborah recently moved into her boyfriend's place. She shares the household expenses and is "taxed" 50% of her wage income. Draw another diagram to compare Deborah's choice in Part a) and a new labor supply decision of working 50 hours per week due to the "tax". Clearly label out the income effect, substitution effect and total effect in the diagram.