Consider a person who can work up to 80 hours each week at a pre-tax wage of $20 per hour but faces a constant 20% payroll tax. Under these conditions, the worker maximizes her utility by choosing to work 50 hours each week. The government proposes a negative income tax whereby everyone is given $300 each week and anyone can supplement her income further by working. To pay for the negative income tax, the payroll tax rate will be increased to 50%. On a single graph, draw the worker's original budget line and her budget line under the negative income tax. page 75Show that the worker will choose to work fewer hours if the negative income tax is adopted. Will the worker's utility be greater under the negative income tax?

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter15: Poverty And Economic Inequality
Section: Chapter Questions
Problem 6SCQ: A group 0f 10 people have the following annual incomes:...
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Consider a person who can work up to 80 hours
each week at a pre-tax wage of $20 per hour
but faces a constant 20% payroll tax. Under
these conditions, the worker maximizes her
utility by choosing to work 50 hours each week.
The government proposes a negative income
tax whereby everyone is given $300 each week
and anyone can supplement her income further
by working. To pay for the negative income tax,
the payroll tax rate will be increased to 50%.
On a single graph, draw the worker's original
budget line and her budget line under the
negative income tax.
page 75Show that the worker will choose to
work fewer hours if the negative income tax is
adopted.
Will the worker's utility be greater under the
negative income tax?
Transcribed Image Text:Consider a person who can work up to 80 hours each week at a pre-tax wage of $20 per hour but faces a constant 20% payroll tax. Under these conditions, the worker maximizes her utility by choosing to work 50 hours each week. The government proposes a negative income tax whereby everyone is given $300 each week and anyone can supplement her income further by working. To pay for the negative income tax, the payroll tax rate will be increased to 50%. On a single graph, draw the worker's original budget line and her budget line under the negative income tax. page 75Show that the worker will choose to work fewer hours if the negative income tax is adopted. Will the worker's utility be greater under the negative income tax?
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