You work for the Council of Economic Advisers, providing economic advice to the White House. The president wants to overhaul the income tax system and asks your advice. Suppose that the current income tax system consists of a proportional tax of 10% on all income and that there is one person in the country who earns $110 million; everyone else earns less than $100 million. The president proposes a tax cut targeted at the very rich so that the new tax system would consist of a proportional tax of 10% on all income up to $100 million anda marginal tax rate of 0% (no tax) on income above $100 million. You are asked to evaluate this tax proposal.

a. For incomes of $100 million or less, is this proposed tax system progressive, regressive, or proportional? For incomes of more than $100 million? Explain.

b. Would this tax system create more or less tax revenue, other things equal? Is this tax system more or less efficient than the current tax system? Explain.