Assume the gross wage of w=$10 per hour and gross non-wage income YN = $5000 per year. Assume a maximum of 6,000 hours of leisure per year (T= 6000 per year ), so that full income for the worker is $65,000.
Draw the budget constraint under each of the following taxes and transfer schemes.
1. A welfare program that pays $8,000 per year if the person does not work and reduces the welfare benefit dollar for dollar with earnings (100% benefit reduction rate). Assume that the individual does not have any other non-wage income (i.e., YN=0)
We can calculate the consumption (which is equal to disposable income) at various level of leisure hours/ hour worked after welfare benefits given.
No. of hours worked, H | Leisure hours, T | Wage income, YW | Welfare benefit | Disposable income |
0 | 6000 | 0 | 8000 | 8000 |
300 | 5700 | 3000 | 5000 | 8000 |
500 | 5500 | 5000 | 3000 | 8000 |
800 | 5200 | 8000 | 0 | 8000 |
1000 | 5000 | 10000 | 0 | 10000 |
1500 | 4500 | 15000 | 0 | 15000 |
2000 | 4000 | 20000 | 0 | 20000 |
2500 | 3500 | 25000 | 0 | 25000 |
3000 | 3000 | 30000 | 0 | 30000 |
3500 | 2500 | 35000 | 0 | 35000 |
4000 | 2000 | 40000 | 0 | 40000 |
4500 | 1500 | 45000 | 0 | 45000 |
5000 | 1000 | 50000 | 0 | 50000 |
5500 | 500 | 55000 | 0 | 55000 |
6000 | 0 | 60000 | 0 | 60000 |
We can build budget constraint with the help of above information
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