Consider an individual who lives in an economy without a welfare program. They initially work T-Lo hours per week, where (T-Lo)>0. They earn an hourly wage (W) and no non-labour income. a) Draw a graph that reflects this individual's income- leisure constraint, utility-maximizing indifference curve (Uo), choice of leisure hours (Lo) and income (Yo). b) Now, assume that a welfare program has been implemented in this economy. The welfare benefit is smaller than the individual's initial income level (Yo) and there is a 50% clawback on any labour income earned. The individual now maximizes their utility by working and collecting a partial welfare benefit. On the same graph as part a, draw this individual's new income-leisure constraint, utility-maximizing

Consider an individual who lives in an economy without a welfare program. They initially work T-Lo hours per week, where (T-Lo)>0. They earn an hourly wage (W) and no non-labour income. a) Draw a graph that reflects this individual's income- leisure constraint, utility-maximizing indifference curve (Uo), choice of leisure hours (Lo) and income (Yo). b) Now, assume that a welfare program has been implemented in this economy. The welfare benefit is smaller than the individual's initial income level (Yo) and there is a 50% clawback on any labour income earned. The individual now maximizes their utility by working and collecting a partial welfare benefit. On the same graph as part a, draw this individual's new income-leisure constraint, utility-maximizing

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Answer please with added diagrams b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b it is not optimal to work, say, 10, or 6 hours per day.
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.
Each day, Luke must decide his leisure hours, L, and his consumption, C. His utility function is given by the following equation U(L, C) = (C – 30)(L – 12). Luke receives $50 welfare payment per day. Show all the steps, with definition of every new notation used in the steps. a) Suppose that Luke's hourly wage is $5. Find Luke's daily budget constraint equation and graph it. b) If Luke's wage is $5 per hour worked, what is Luke's optimal consumption, (L*, C*)? · c) Assume that the wage is an unknown variable, w. What is Luke's leisure demand L(w)?- d) What is Luke's reservation wage, the lowest wage Luke is willing to work for? -
Consider an economy with 100 identical households and 100identical firms. Each household is endowed with one unit of time. Half of the households are endowed with equal shares of firm, while the rest areendowed with no firm shares. A householdís utility is u (x; r) = 2 ln(x*r^2) ,where x is consumption of goods, r = 1- l is leisure time and l is thehouseholdís labour supply. Each firm hires households to produce goodsaccording to technology y = L^1/2, where L denotes the labour input. Goodsprice p, wage rate w, and dividend income are all taken as given. Normalizew = 1. Do the following: (a) Derive the Marshallian demands, x (p, D) andr (p,D), where D is dividend. (b) Derive the firmís input demand functionL (p) and profit function pi(p). (c) List all the market-clearing conditions.(d) Calculate the equilibrium price p
An individual can earn $12 per hour if he or she works. Assume that a person can work at most 24 hours per day times 30 days per month for a total of 720 hours. Thus, the axis intercepts, in the absence of any program, are 720 x $12 = $8,640 in consumption and 720 hours of leisure. Scenario: Suppose that a new welfare program is introduced where the government guarantees $600 per month in income and reduces the benefit by $1 for each $1 of labor income. Below are the budget constraints that show the monthly income-leisure trade-off. Monthly income $8,640 $600 720 Leisure (hours) With 40% reduction rate, when he/she works 30 hours, where will he/she maximize his/her utility? O A. Point B O B. Point C O C. Point D O D. Point F
Follow up question 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 fifigure with a new labor–income curve that reflflects this change. Explain how this change might induce someone currently working L1 hours per year to work more, and be sure to draw indifffference curves to support your answer.
John works in a shoe factory. He can work as many hours per day as he wishes at a wage rate w. Let C be the amount of dollars he spends on consumer goods and R. be the number of hours of leisure that he chooses. John's preferences are represented by U(C, R) = CR utility function Question 2 Part a John earns $8 an hour and has 18 hours per day to devote to labor or leisure, and he has $16 of nonlabor income per day. Draw John's indifference curves, budget constraints and solve for his optimal consumption and leisure choices.
When focusing on a married couple, one person’s non-labor income includes the laborearnings of his/her partner. Using a graph of budget constraints and indifference curves,describe what would happen to the labor supply of one spouse if the other experiences aninvoluntary job loss. Your answer does not depend on whether the spouse you’regraphing is initially supplying labor or not.
Mark can work up to 80 hours each week at a pre-tax hourly wage of $20 but faces a constant 20 percent tax on his earnings. Thus, Mark maximizes his utility by choosing to work 50 hours per week. The government proposes a negative income tax whereby everyone is given $300 per week and anyone can supplement their income further by working. To pay for the negative income tax, tax on earnings will be increased to 50 percent. On a single graph, draw Mark's original budget line and his budget line under the negative income tax. Show that Mark will work fewer hours if the negative income tax is implemented Will Mark's utility be greater under the negative income tax? Discuss your answer.
4. Winona has 80 hours to divide between leisure and labor. Her utility function is u(r,c) = f(r) + c, when r represents hours of leisure, c represents dollars of consumption, and fis strictly concave. Winona's wage is wo = $15/hr. initially, then it rises to wi = $20/hr. (i) Explain what happens to Winona's labor supply when the wage rises, and why. (ii) Explain how the answer to (i) would change if Winona were to win a lottery.
The AB line in the below graph represents a worker's budget constraint (AB line). A utility- maximizing worker chooses the consumption- leisure bundle at point P, where the indifference curve is tangent to the budget line. Please analyze the impact of a new unemployment benefit program that consists in an amount "AG" if the worker is unemployed. This benefit is lost if the worker finds a job (even if he only works for one hour). B G A U1 Hours of Leisure
Lance lives in Williston, North Dakota. The firms in town, such as the Walmart, pay teenagers without a high school degree the federal minimum wage of $7.25 an hour. Because his parents provide him Y (mostly in the form of room and board), Lance chooses to stay in school and not work. However, a new fracking firm starts production nearby so the wage rises to three times the minimum wage. Use a labor-leisure choice figure to show why he does not work initially but then works a substantial number of hours at the higher wage. Draw Lance's original budget constraint and show that he does not choose to work. The firms in town, such as the Walmart, pay teenagers without a high school degree the federal minimum wage of $7.25 an hour. Assuming the price of consumption is $1.00, what is the slope of Lance's original budget constraint? The slope of Lance's original budget constraint is places.) (Round your response to two decimal C