Suppose one third of all families on the island of Sophia had zero income in a given year and the other two-thirds had the same positive income. Draw the Sophia Lorenz curve for this island's family income distribution. Also compute the Gini coefficient.
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- What is a "quintile"? Provide and explain one example of how this concept is used in the discussion of income distribution.A group of 10 golfing buddies have the following annual incomes: Income $32, 000 $12, 000 $56, 000 $120, 000 $10, 000 $38, 000 $70, 000 $16, 000 $20, 000 $24, 000 What is the total amount of income comprising the lowest quintile of this income distribution? Provide your answer below:Calculate the new Gini Coefficient for Algura when income changes as follows:
- A governmental agency determines that the Lorentz curves for the distribution of income for two occupations: dentist and teacher in a certain state are given by the following functions in the picture. For which profession is the distribution of income more fairly distributed.Suppose a single parent can work up to 16 hours per day at a wage rate of$10 per hour. Various income maintenance programs have been developed to assurea minimum level of income for low-income families. Aid to Families withDependent Children (AFDC) was established with the Social SecurityAct of 1935. The family was given an income subsidy depending on family size. Under this program, the family’s benefi t was reduced by $1 forevery dollar earned. Suppose the maximum daily subsidy for the singleparent described in this problem is $40.a. Draw the daily budget constraint without program participation forthe single parent described in this problem.b. On the same graph, draw the daily budget constraint under AFDC forthe single parent described in this problem.c. What effect does this program have on the incentive to work? Explain.A group of 10 old college friends have the following annual incomes: Income $32, 000 $12, 000 $56, 000 $120, 000 $10, 000 $38, 000 $70, 000 $16, 000 $20, 000 $24, 000 What is the total income received by the top quintile of this income distribution? Provide your answer below:
- A group of 10 people have the following annual incomes: $24,000, $18,000, $50,000, $100,000, $12,000, $36,000, $80,000, $10,000, $24,000, $16,000. Calculate the share of total income that each quintile receives from this income distribution. Do the top and bottom quintiles in this distribution have a greater or larger share of total income than the top and bottom quintiles of the U.S. income distribution?One proposal for reforming the welfare system is to create a negative income tax. Under the negative income tax, each person is entitled to a grant of G dollars permonth. For every dollar the person earns, the grant is reduced by t dollars. a. Suppose G = 200 and t = 0.40. Consider an individual whose hourly wage = $10. There are 30 days in a month, so the total allotment of T = 720. Sketch the budgetconstraint before and after the introduction of the negative income tax. b. Would people work more or less with the implementation of this system? c. What if t = 100%? Explain!The breakeven level of income is the O Level of income above which a person loses all welfare benefits. O Lowest level of income at which in-kind benefits are no longer necessary. O Amount of income a person must have to reach the poverty line. O Level of income at which an individual household begins to have some discretionary income.
- If C=0.8Y, I-bar=260, G-bar=200, TR-bar=150, T=0.2Y, X-bar=320 and M=0.1Y, the equilibrium level of income is 1957 900 1800 1425 414Explain very briefly what you understand from income effect and substitutioneffects of change in income tax ratesThe table below presents the system in the country of Boonton. The numbers indicate the percentage of income in that bracket that is taxed. For example, someone making $13,000 would be taxed 23% of that amount. Income Earned Tax % applied to that Income Under $15,000 23 $15,001 - $30,000 24 $30,001 - $45,000 25 $45,001 - $60,000 27 If a household in Boonton currently makes $20000, how much do they owe in taxes?