question archive The following table summarizes the income distribution for the town of Perkopia, which has a population of 10,000 people

The following table summarizes the income distribution for the town of Perkopia, which has a population of 10,000 people

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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 2000, the poverty income threshold, or poverty line, is set at an annual income of $12,700 for an individual.

Year

Share of Total Income in Perkopia

(Percent)

Lowest Quintile Second Quintile Middle Quintile Fourth Quintile Highest Quintile
1994 3.0 8.1 14.0 21.5 53.4
2000 3.4 9.0 14.8 22.0 50.8
2006 3.8 9.5 15.4 22.7 48.6
2012 4.0 10.0 16.5 24.0 45.5

The data in the table suggest that there was income inequality from 1994 to 2012.

Complete the following table to help you determine the poverty rate in Perkopia in 2000. To do this, begin by determining the total income of all individuals in each quintile, using the fact that total annual income in the economy is $500,000,000. Next, determine the income of an individual in each quintile by dividing the total income of that quintile by the number of people in that quintile. (Hint: Recall that Perkopia has a population of 10,000 people.) Finally, determine whether the individual income for each quintile falls below the poverty income threshold, or poverty line, of $12,700.

Quintile Share of Income in 2000 Total Income Individual Income Below Poverty Line?
(Percent) (Dollars) (Dollars)
Lowest 3.4      
Second 9.0      
Middle 14.8      
Fourth 22.0      
Highest 50.8      

Using the information in the previous table, the poverty rate in Perkopia in 2000 is .

Suppose that the government introduces a welfare program in which any individual with an income of less than $12,700 per year receives a lump-sum transfer payment of $4,000 from the government. Assume that, in the short run, there is no change in labor-supply behavior among the people in Perkopia.

In the year 2000, the poverty rate after the introduction of the welfare program in Perkopia is .

Again, suppose the government introduces a welfare program in which any individual with an income of less than $12,700 receives a lump-sum transfer payment of $4,000 from the government. Felix, a resident of Perkopia who currently earns an income of $12,199, has the opportunity to work overtime and earn an additional $1,500 this year.

Which of the following statements are correct? Check all that apply.

Felix would gain more income by turning down the overtime than he would if he accepted the overtime.

Felix may accept the overtime if he feels that taking it will increase the chances of his receiving a significant promotion.

The $4,000 in aid presents a disincentive for Felix to make more than $12,700 per year.

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