The following represents the income for the five citizens of Sodor: Thomas $14,000James $20,000 Gordon $50,000 Percy $6,000 Clara $10,000 a) Make a table that showsthe income, cumulative income, and cumulative income percentages for each of thequintiles. (Start with the lowest, meaning Percy) b) Draw a Lorenz curve and the line ofabsolute equality for the above situation. c) The tax rates for the island are as follows: notax on the first $10,000, 10% tax rate on the next $10,000, and 50% tax rate on anythingabove $20,000. d) What is the total tax collected by the government? If each citizenreceives 1/5 of the tax collected, how much would each receive? e) Make a table thatshows the new income for the citizens, cumulative income, and the cumulative incomepercentage (income-tax payment + distribution payment) for each quintile. f) Add thenew Lorenz curve to the graph in b). g) How have the Lorenz curve and Gini coefficientbeen affected by the tax? Explain.

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Answered: The following represents the income for…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Instructions: 1. Refer to the MCONNEL TEXTBOOK CHAPTER 23. DON'T USE ANY OTHER SOURCES Describe the distribution of income in the United States by personal income categories by households and quintile distribution by households. Explain how a Lorenz curve is used to describe income inequality. Define Gini ratio List seven causes of an unequal income distribution. State and evaluate the cases for and against income inequality. Define poverty as the Federal government does. Identify the rate of poverty in the U.S., and the incidence of poverty for various demographic groups, including African Americans, Hispanics, and female-headed households; identify some of the reasons for the poverty of each group. Define social insurance. Describe the major social insurance programs. What is a public assistance program? Describe the major public assistance (welfare) programs.
The table shows the income shares in the United States and the United Kingdom. Draw the U.K. Lorenz curve and compare it with the Lorenz curve in Fig. 19.3 on p. 441. In which country is income less equally distributed?
The following table summarizes the income distribution for the town of Perkopia, which has a population of 10,000 people. Every individual within an income group earns the same income, and the total annual income in the economy is $500,000,000. Suppose that in 2006, the poverty line is set at an annual income of $42,350 for an individual. Year 2000 2006 2012 2018 Lowest Quintile 3.0 3.4 3.8 5.0 Share of Total Income in Perkopia (Percent) Middle Quintile Fourth Quintile Second Quintile 8.6 9.4 9.7 11.0 The data in the table suggest that there was 14.0 14.6 15.2 15.5 21.9 22.4 22.9 25.0 Highest Quintile 52.5 50.2 48.4 43.5 income inequality from 2000 to 2018.
7: 8: Cumulative Percentage of Family Income 100 80 60 40 20 0 A 20 B A Lorenz Curve B 60 80 Cumulative Percentage of Families 40 Which point shows that 20% of families earn 40% of total income? 100
Dina and Charles are married, under the age of 65, and have two children under the age of 18. Charles works full time and earns $19,000, while Dina works part time and earns $9,000. Thus, in total, their family income is $28,000. Are Charles and Dina living in poverty? O Yes O No Suppose that Charles divorces Dina and leaves the family without paying alimony or child support. Dina must now support her two children alone, so she begins working full time and earns a total of $18,000. Are Dina and her children living in poverty? O Yes O No Again, consider Dina, a single mother with two children under 18 who earns an annual income of $18,000. Suppose that Dina qualifies for a welfare program for single mothers that provides her with $4,000 in food assistance. After receiving welfare, is Dina's family living in poverty? O Yes O No
An economy's Lorenz Curve reveals that an economy's highest income quintile has 65% of the economy's income while the lowest income quintile only has 5% of the economy's income. Solely based on this Lorenz Curve, is the distribution of income fair? Why or why not?
4. An economist produced the following Lorenz curves for the current income distribution and the projected income distribution 10 years from now in a certain country: Current Lorenz curve: f(x) = 0.15x+0.85x Projected Lorenz curve: g(x) = x'6 Compute the Gini index of income concentration ( to 2 decimal places ) for the current and projected curves. What can you say about the distribution of income 10 years from now? Is it more equitable or less?
QUESTION 43 The Gini coefficient can be approximated from the Lorenz curve by the g=A/(A+B), where A is the area between the Lorenz curve and the 45-degree line and A +B is the area under the 45-degree line. Consider a population with three members and an aggregate income of 100. Which of the following statements are correct? O When the incomes are (50, 50, 0), the approximated Gini coefficient is 0.5. When the incomes for the thre members are (100/3, 100/3, 100/3), the approximate Gini coefficient is 0. O When the incomes are (100, 0, 0), the approximated Gini coefficient is 1. O A gini coefficient of 1 implies complete equality.
Shen, who is currently unemployed, is a participant in four welfare programs that offer daily benefits of $10 each to people with no earned income. Each program then curtails its benefits by 50 cents for every dollar of income a recipient earns. Shen's identical twin brother, Sean, is enrolled in an experimental negative income tax program that gives him $40/day in benefits and then taxes him at the rate of 50 percent on each dollar of earned income. Now suppose Shen is offered a job that pays $4/hr, the same wage his brother earns. a. Draw the budget constraint for each twin. Instructions: To earn full credit for this graph you must plot all required points for each curve. 1. Use the line tool (Shen's budget constraint, plot 3 points) to draw the Shen's budget constraint. 2. Use the line tool (Sean's budget constraint, plot 2 points) to draw the Sean's budget constraint. After tax-income ($/day) 98 84 70 56 42 28 14 0 2 4 6 8 10 12 14 16 18 20 22 24 26 Leisure (hrs/day) Tools Shen's…
Please answer correct explain please asap Don't answer by pen paper plz.
8. Four students have yearly incomes of $5,000, $15,000, $20,000, and $60,000. a. Make a table of the Lorenz Curve and use the Trapezoidal Rule with 4 trapezoids to find the area under the Lorenz Curve. Your answer should be correct to 2 places after the decimal point. The area under the Lorenz Curve is b. Use the results of Part a to find the Gini Index. Your answer should be correct to 2 places after the decimal point. The Gini Index is
What is the Lorenz curve and what does it illustrate? Are incomes distributed equally? What would happen if incomes were equal? Why do you think income distribution is so unequal? Identify and explain three reasons.

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