218 ❖ Chapter 12/The Design of the Tax System
Problems and Applications
1. The federal government had a budget deficit in 2010. Policymakers expect budget deficits
over the next decade.
2. a. The increase in revenue of the total government is attributable more to increases in state
and local government revenue than to federal government revenue. In 1960, state and
local government revenue was 33% of total government revenue; by 2008, it had risen
to almost 49%.
3. a. If the number of retirees is rising and total expenditures are frozen, then benefits per
retiree will decline over time. Because the number of workers is rising, albeit slowly, tax
payments per worker would decline slowly over time.
b. If benefits per retiree were frozen, total expenditures would rise quickly, along with the
number of retirees. To pay for the increased expenditures, tax payments per worker
would rise, because the number of workers isn’t growing as rapidly as the number of
retirees.
4. If you earn $20,000 a year, then you pay federal income taxes in two parts: 10% on the first
$8,375 of income and 15% on the amount above $8,375. Thus, your federal income taxes
are ($8,375 0.10) + ($11,625 0.15) = $837.50 + $1743.75 = $2,581.25. You also pay
$20,000 0.153 = $3,060 in federal payroll taxes and $20,000 0.04 = $800 in state
income taxes, for a total tax bill of $6,441.25. Your average tax rate is $6,441.25/$20,000 =
0.322 = 32.2%. Your marginal tax rate is 0.15 + 0.153 + 0.04 = 0.343 = 34.3%.
5. Excluding food and clothing from the sales tax is justified on equity grounds because poor
people spend a greater proportion of their income on those items. By exempting them from