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By the end of this section, you will be able to:
  • Explain the poverty trap, noting how it is impacted by government programs
  • Identify potential issues in government programs that seek to reduce poverty
  • Calculate a budget constraint line that represents the poverty trap

Can you give people too much help, or the wrong kind of help? When people are provided with food, shelter, healthcare, income, and other necessities, assistance may reduce their incentive to work. Consider a program to fight poverty that works in this reasonable-sounding manner: the government provides assistance to the poor, but as the poor earn income to support themselves, the government reduces the level of assistance it provides. With such a program, every time a poor person earns $100, the person loses $100 in government support. As a result, the person experiences no net gain for working. Economists call this problem the poverty trap    .

Consider the situation faced by a single-parent family. A single mother (earning $8 an hour) with two children, as illustrated in [link] . First, consider the labor-leisure budget constraint faced by this family in a situation without government assistance. On the horizontal axis is hours of leisure (or time spent with family responsibilities) increasing in quantity from right to left. Also on the horizontal axis is the number of hours at paid work, going from zero hours on the right to the maximum of 2,500 hours on the left. On the vertical axis is the amount of income per year rising from low to higher amounts of income. The budget constraint line shows that at zero hours of leisure and 2,500 hours of work, the maximum amount of income is $20,000 ($8 × 2,500 hours). At the other extreme of the budget constraint line, an individual would work zero hours, earn zero income, but enjoy 2,500 hours of leisure. At point A on the budget constraint line    , by working 40 hours a week, 50 weeks a year, the utility-maximizing choice is to work a total of 2,000 hours per year and earn $16,000.

Now suppose that a government antipoverty program guarantees every family with a single mother and two children $18,000 in income. This is represented on the graph by a horizontal line at $18,000. With this program, each time the mother earns $1,000, the government will deduct $1,000 of its support. [link] shows what will happen at each combination of work and government support.

The poverty trap in action

The graph shows a downward sloping line that begins at $20,000 on the y-axis and ends at 2,500 on the x-axis. A horizontal line extends from $18,000 on the y-axis. A dashed plum line extends from $16,000 on the y-axis and intersects with the vertical line extending from 500 on the x-axis at point A. Beneath the x-axis is an arrow pointing to the right indicating leisure (hours) and an arrow pointing to the left indicating labor (hours).
The original choice is 500 hours of leisure, 2,000 hours of work at point A, and income of $16,000. With a guaranteed income of $18,000, this family would receive $18,000 whether it provides zero hours of work or 2,000 hours of work. Only if the family provides, say, 2,300 hours of work does its income rise above the guaranteed level of $18,000—and even then, the marginal gain to income from working many hours is small.
Total income at various combinations of work and support
Amount Worked (hours) Total Earnings Government Support Total Income
0 0 $18,000 $18,000
500 $4,000 $14,000 $18,000
1,000 $8,000 $10,000 $18,000
1,500 $12,000 $6,000 $18,000
2,000 $16,000 $2,000 $18,000
2,500 $20,000 0 $20,000

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
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can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
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Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
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Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
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"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
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Who can show me the full solution in this problem?
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Source:  OpenStax, Principles of economics. OpenStax CNX. Sep 19, 2014 Download for free at http://legacy.cnx.org/content/col11613/1.11
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