Consider a representative consumer with generic utility function U(C,I) and h hours available, some of which are used as leisure (1). Hours of work are paid at w, and there is profit income and a lump-sum tax T, with T> π. a) Write down the consumer budget

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Consider a representative consumer with
generic utility function U(C,l) and h hours
available, some of which are used as leisure
(1). Hours of work are paid at w, and there is
profit income Tt and a lump-sum tax T, with
T > Tt.
a) Write down the consumer budget
constraint and represent it in a graph. What
changes in terms of the budget constraint if
we now impose that T< Tt? Motivate your
answer.
b) With respect to point (a), i.e. T< r, what
happens to the slope of the budget
constraint when the government imposes a
proportional tax on wage income? Is the
representative consumer now better or
worse off?
Transcribed Image Text:Consider a representative consumer with generic utility function U(C,l) and h hours available, some of which are used as leisure (1). Hours of work are paid at w, and there is profit income Tt and a lump-sum tax T, with T > Tt. a) Write down the consumer budget constraint and represent it in a graph. What changes in terms of the budget constraint if we now impose that T< Tt? Motivate your answer. b) With respect to point (a), i.e. T< r, what happens to the slope of the budget constraint when the government imposes a proportional tax on wage income? Is the representative consumer now better or worse off?
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