4. Suppose that there are two households in the economy, A and B, that they face the same wage rate w, and that the government initially uses a proportional income tax according to which each household must pay a fraction t of its labor income as income tax. Assume that given this tax scheme household A chooses to work full time while household B chooses to work part time. Now suppose that the government is interesting in studying the impact of changing the tax system to a progressive tax system where the household work- ing full time would pay a tax rate th >t while the household working part time would pay a rate ti < t. (a) Draw a graph of the impact of this change on the budget constraint that households face with the two different tax systems. (b) What would such a change in the tax system imply for the optimal choice of the two households?
4. Suppose that there are two households in the economy, A and B, that they face the same wage rate w, and that the government initially uses a proportional income tax according to which each household must pay a fraction t of its labor income as income tax. Assume that given this tax scheme household A chooses to work full time while household B chooses to work part time. Now suppose that the government is interesting in studying the impact of changing the tax system to a progressive tax system where the household work- ing full time would pay a tax rate th >t while the household working part time would pay a rate ti < t.
(a) Draw a graph of the impact of this change on the budget constraint that households face with the two different tax systems.
(b) What would such a change in the tax system imply for the optimal choice of the two households?
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