5. LO 4 Suppose, as in the federal income tax code for the United States, that the representative con- sumer faces a wage income tax with a standard deduction. That is, the representative consumer pays no tax on wage income for the first x units of real wage income, and then pays a proportional taxt on each unit of real wage income greater than x Therefore, the consumer's budget constraint given by C wh -D + if wh- D=x., or C (1-wh-D+ tx+ if_wCh = D2 Now, suppose that the government reduces tax deduction x Using diagrams, determine the effects of this tax change on the consumer, and explain your results in terms of income and sub stitution effects. Make sure that you consider two cases. In the first case, the consumer does not pay any tax before x is reduced, and in the second case, the consumer pays a positive tax before x is reduced

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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5. LO 4 Suppose, as in the federal income tax code
for the United States, that the representative con-
sumer faces a wage income tax with a standard
deduction. That is, the representative consumer
pays no tax on wage income for the first x units of
real wage income, and then pays a proportional
taxt on each unit of real wage income greater than
x Therefore, the consumer's budget constraint
given by C wh -D + if wh- D=x., or
C (1-wh-D+ tx+ if_wCh = D2
Now, suppose that the government reduces
tax deduction x Using diagrams, determine the
effects of this tax change on the consumer, and
explain your results in terms of income and sub
stitution effects. Make sure that you consider two
cases. In the first case, the consumer does not pay
any tax before x is reduced, and in the second
case, the consumer pays a positive tax before x
is reduced
Transcribed Image Text:5. LO 4 Suppose, as in the federal income tax code for the United States, that the representative con- sumer faces a wage income tax with a standard deduction. That is, the representative consumer pays no tax on wage income for the first x units of real wage income, and then pays a proportional taxt on each unit of real wage income greater than x Therefore, the consumer's budget constraint given by C wh -D + if wh- D=x., or C (1-wh-D+ tx+ if_wCh = D2 Now, suppose that the government reduces tax deduction x Using diagrams, determine the effects of this tax change on the consumer, and explain your results in terms of income and sub stitution effects. Make sure that you consider two cases. In the first case, the consumer does not pay any tax before x is reduced, and in the second case, the consumer pays a positive tax before x is reduced
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