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Lucas, age 17 and single, earns $6,000 during 2017. Lucas's parents cannot claim him as a dependent if he does not live with them.

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Final answer:

The question calls for an examination of the trade-offs between work hours and welfare benefits, utilizing a table format and a labor-leisure diagram to illustrate the impact of a dollar-for-dollar reduction in welfare as earnings increase. It highlights the issue of a poverty trap and references the earned income tax credit as a mitigating factor.

Step-by-step explanation:

The question relates to economics and welfare's impact on work incentives. It presents a scenario where individuals such as Jonathon and Susan receive welfare benefits which are diminished on a dollar-for-dollar basis as they earn income from work. This situation sets up a potential poverty trap, where individuals may not be incentivized to work additional hours because their increase in earnings will be offset by reductions in government support.

To illustrate this trade-off, you can create a table showing various levels of work hours and the corresponding earnings, welfare benefits, and total income. The table would have four columns:

  • Number of Hours Worked
  • Earnings from Work
  • Government Benefits
  • Total Income

In addition, a labor-leisure diagram can depict the trade-offs between working hours and leisure time, visually representing how government benefits and work incentives change as Jonathon and Susan work more hours. It's vital to include considerations like the earned income tax credit (EITC), which is designed to reduce the poverty trap effect by phasing out the earned income credit more slowly, allowing individuals to benefit from working additional hours without an immediate and total offset by the loss of government benefits.

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