uppose all workers have the same preferences represented by U = (sqroot)w - 2x , where w is the wage and x is the proportion of the firm’s air that is composed of toxic pollutants. There are only two types of jobs in the economy, a clean job (x = 0) and a dirty job (x = 1). Let w0 be the wage paid by the clean job and w1 be the wage paid for doing the dirty job. If the clean job pays $16 per hour, what is the wage in dirty jobs? What is the compensating wage differential?

uppose all workers have the same preferences represented by U = (sqroot)w - 2x , where w is the wage and x is the proportion of the firm’s air that is composed of toxic pollutants. There are only two types of jobs in the economy, a clean job (x = 0) and a dirty job (x = 1). Let w0 be the wage paid by the clean job and w1 be the wage paid for doing the dirty job. If the clean job pays $16 per hour, what is the wage in dirty jobs? What is the compensating wage differential?

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter17: Income, Poverty, And Health Care

Section: Chapter Questions

Problem 11P

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Suppose all workers have the same preferences represented byU = √w - 2xwhere w is the wage and x is the proportion of the firm’s air that is composed of toxic pollutants. There are only two types of jobs in the economy: a clean job ( x = 0) and a dirty job ( x =1). Let w0 be the wage paid by the clean job and w1 be the wage paid for doing the dirty job. If the clean job pays $16 per hour, what is the wage in dirty jobs?What is the compensating wage differential?
Because Income depends on work effort and work effort depends on nutrition, suppose the relationship between income (Y) and total food availability (F) in a poor household is given by: Y = 10F + 20F2 – 0.6F3 a) If food availability in a two-person household is 20, would it be “rational” to share the food? Explain. b) If food availability in a two-person household is 30, would it be “rational” to share the food? Explain.
Need Step by Step answer: How to draft on Excel. Because Income depends on work effort and work effort depends on nutrition, suppose the relationship between income (Y) and total food availability (F) in a poor household is given by: Y = 10F + 20F2 – 0.6F3 a) If food availability in a two-person household is 20, would it be “rational” to share the food? Explain. b) If food availability in a two-person household is 30, would it be “rational” to share the food? Explain.
Consider a worker who earns $20/hour in the labor market and receives $50 per week innon-labor income. Assume the total number of hours available for work (h) and leisure(L) is 168 hours per week (i.e., ? = 168 = ℎ + ?). a. Draw the budget constraint for this individual. Label the endowment point. b. What is the maximum value of consumption that this individual could achieve ina week? c. In the United States, the Fair Labor Standards Act requires workers to be paid 1.5times their usual hourly wage for “overtime” work, defined as work in excess of40 hours in a week. If this law applies to the worker described above, how does itchange the budget constraint? d. Now suppose Congress passes an income tax. The income tax applies to labor andnon-labor income. The Fair Labor Standard Act is still in effect. The first $1,000in weekly income is exempt from the tax. However, every dollar above $1,000 istaxed at a rate of 10%. (To be clear: the tax on $1,000 in income is 0, the tax on$1,001 is…
A significantly larger proportion of higher social class children attend college than lower-class children. This islargely due to differences in ability among social classes. T or F?
Marley has 100 hours per week available she can spend either working or doing leisure activities. He can work at a wage rate of $50 per hour. Bob receives $1000 of rental income per week, no matter how much he works. Use leisure-income model to solve this:- i) draw Marley budget line and optimal choice of working 80 hours in a week then calculate the maximum and optimal amount of income ii.) And suppose Marley is suppose to share the household expenses and then be taxed 50% of her wage income. then draw another diagram to compare Marley choice in Part i) and the new labour supply decision of working 90 hours per week due to the tax. Clearly label out the income effect, substitution effect and total effect in the diagram.
Suppose there are two possible income distributionsin a society of ten people. In the first distribution,nine people have incomes of $60,000 and one personhas an income of $20,000. In the second distribution,all ten people have incomes of $50,000.a. If the society had the first income distribution,what would be the utilitarian argument forredistributing income?b. Which income distribution would Rawls considermore equitable? Explain.c. Which income distribution would Nozick considermore equitable? Explain.
Person 1 and person 2 are the only two residents of an economy. Person i (where i is either 1 or 2) has the utility function Here, Yi is person i’s income and β is parameter between 0 and 1. Assume that the social welfare function is where α is a parameter between 0 and 1. Initially, person 1’s income is 1 and person 2’s income is 2. a) Express W in terms of Y1 and Y2. If a social indifference curve shows all the pairs (Y1, Y2) that yield the same value of W, what would a social indifference curve look like if it were drawn in the (Y1, Y2) quadrant? Find an algebraic expression for the slope of a social indifference curve. b) Imagine that income redistribution is costless, in the sense that the economy can reach any pair (Y1, Y2) that satisfies the condition Draw a graph of the attainable pairs in the (Y1, Y2) quadrant. This set is called the “utility possibility frontier.” Using this frontier and the social indifference curves,…
Follow-up questions d. In this model, workers earn the same total assets whether they work L1 or L2 hours. Is the worker better offff at L1 or L2 hours of work? e. If disutility from work were included in the model, would this shrink, expand, or keep the same the size of the region where workers have no incentive to work? f. In your own version of Figure 18.7, draw three sets of plausible utility curves that take assets as a positive input and hours worked as a negative input. Draw one set so that the worker elects to work less than L1 hours, one set so that the worker elects to work exactly L1 hours, and one set so that the worker elects to work more than L2 hours. g. Explain why the utility curves cannot be drawn so as to induce the worker to work between L1 and L2 hours. h Yelowitz (1995) studies a Medicaid reform measure that reduced the Medicaid work disincentive. One of the reforms he studied raised the Medicaid eligibility threshold income level by 33%. Draw a new version of the…
A worker earns £15 pounds an hour and chooses to work six hours a day. The worker has noother source of income. For the question below, assume that the worker has “standard” Cobb-Douglas preferences. When considering wage changes, assume that the “income effect”outweighs the “substitution effect”. (a) Write down the worker’s budget constraint and then represent the worker’schoice in a suitably labelled graph. (b) The government gives the worker £80, but taxes the worker’s wage, such thattheir take-home wage is £10. Model this policy in a suitably labelled graph. Isthe worker better off (in terms of utility) after this policy? Note –there are arange of correct answers for the worker’s new hours/income. Choose one thatis consistent with the information given in the question.
Anna and Bob are the only residents of a small town. The town currently funds its fire department solely from the individual contributions of these two residents. Each of the two residents has a utility function over private goods ? and total number of firemen ?, of the form: ?(?,?)=2ln?+ln?. The total provision of firemen hired, ?, is the sum of the number hired by each of the two persons: ?=??+??. Ann and Bob both have income of 200 each, and the price of both the private good and a fireman is 1. They are limited to providing between 0 and 200 firemen. For the purposes of this problem, you can treat the number of firemen as a continuous variable (it could be man-years). Consider the setup from Question 2. Suppose that the government recruits additional ?N firemen and taxes Ann and Bob equally to cover the cost. Therefore, the total number of firemen is ??+??+?MA+MB+N, where ??,??MA,MB are appropriate individually-optimal contributions of ?A and ?B(i.e., the agents behave optimally,…
Consider an employee who does not receive employer-based health insurance and must divide her $1,000 per week in after-tax income between health insurance and “other goods.” Draw this worker’s opportunity set if the price of health insurance is $200 per week and the price of “other goods” is $100 per week. On the same graph, illustrate how the opportunity set would change if the employer agreed to give this employee $200 worth of health insurance per week (under current tax laws, this form of compensation is nontaxable). Would this employee be better or worse off if, instead of the health insurance, the employer gave her a $200 per week raise that was taxable at a rate of 25 percent? Explain