Sheryl'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. Sheryl earns $10 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a) Graph Sheryl's budget line. (b) What is Sheryl's marginal rate of substitution when L=$100 and she is on her budget line? (c) what is Sheryl's reservation wage?
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- 1 Dr. Abida is planning for her requirement. Suppose she can consume her salary of Rs. 200,000 while she is in service or save her salary to consume it after retirement. When she saves her salary, she will get 8% interest on it. Draw Dr. Abida’s budget constraint, her indifference curve and her optimum. 2 If interest rate goes up to 15%, draw figures to show when she will save more and when she will save less.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 consumption5. 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.
- A family with a monthly income of $2200 spends $850 for rent $225 for utilities and $325 for food. What percent of the family income is spent for cach?1. What will be her total utility from both leisure and income when working 25 hours per week? 2. Does it make sense from the perspective of utility for Terry to increase her work hours? (Think about the total utility calculations.). Why or Why not?Problem 2: Cleo's rides Cleo has a fixed weekly budget for bike and taxi rides, and the more the rides she makes, the happier she is. When the price of each bike ride was 3 yuan, she used to take the bike four times per week. Now the price of each bike ride went down to 1 yuan, but she has to pay a weekly subscription fee of 9 yuan to ride bikes. Her new choice is to make three rides per week. Is Cleo better off, worse off, or indifferent compared to before?
- 1. What will be her total utility from both leisure and income when working 10 hours per week? 2. Does it make sense from the perspective of utility for Terry to decrease her work hours? (Think about the total utility calculations.). Why or Why not?Consider an economy with two goods, consumption c and leisure 1, and a representative consumer. The consumer is endowed with 24 hours of time in a day. A consumer's daily leisure hours are equal to 1 = 24-h where h is the number of hours a day the consumer chooses to work. The price of consumption p is equal to 1 and the consumer's hourly wage is w. The consumer faces an ad valorem tax on their earnings of 7 percent. The con- sumer also receives some exogenous income Y that does not depend on how many hours she works (e.g. an inheritance). The consumer's preferences over consumption and hours of work can be represented by the utility function U(c, h) = c-3h¹+, where 3 > 0 and p > 0 are parameters. 1+p2. 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) 90 100 110 Initial bundle $200 Unemployment Benefits Equivalent Bundle, $100 Unemployment Benefits Equivalent Bundle Now, suppose that Amy is laid off, but she is eligible to collect unemployment benefits of $200 per week. Use the black point…
- cook -int ences a) Chika has calculated the marginal utility that she derives from her paid employment and from leisure. This is presented in table below. In her ideal world, where she could work as few or as many hours as she wished, how would she allocate her sixteen waking hours? (She does need to sleep.) Hours 1 2 3 4 5 6 7 8 9 10 MU Paid Employment 80 75 70 65 60 55 50 45 40 35 MU Leisure 120 110 100 90 80 70 60 50 40 30 9 hours working and 40 hours leisure. b) Unfortunately, Chika begins to realize that unless she gets an education she will not enjoy a high salary and therefore, will not be able to afford more leisure time. She therefore decides to spend six hours each day studying (in addition to her eight hours of sleep). How will she now divide the remaining hours between work and leisure?! hours working and hours leisure. Help Save C2. 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 ?Mark is currently earning $44,000 a year. He has worked for this firm for 5 years. He is considering a job that will increase his lifetime earnings by $240,000 but that requires a Ph.D. in finance. The job will mean also attending a full-time finance program for four years at an annual cost of $28,500. Mark already completed an MBA, for which he spent $86,000 in tuition and books. Would he take the job and attend the Ph.D. program? Calculate: Insutructions: Use ono decimals. Use commas (30,000, not 30000). Opportunity costs of this decision = $ MC = $ MB = $ Sunk Costs = $