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11. The state of Delaland has two types of town. Type A towns are well-to-do, and type B towns are much poorer. Being wealthier, type
11. The state of Delaland has two types of town. Type A towns are well-to-do, and type B towns are much poorer. Being wealthier, type A towns have more resources to spend on education; their demand curve for education is Q = 100 - 2P, where P is the price of a unit of education. Type B towns have demand curves for education which are given by Q = 100 4P. a. The cost of a unit of education is $20 per unit. How many units of education will the two all types of town demand? b. In light of the large discrepancies in educational quality across their two types of town, Delaland decides to redistribute from type A towns to type B towns. In particular, they tax type A towns by $5 for each unit of education they provide, and they give type B towns $5 for each unit of edu- cation they provide. What are the new tax prices of education in the two towns? How many units of education do the towns now purchase? c. Delaland wants to completely equalize the units of education across towns by taxing type A towns for each unit of education they pro- vide and subsidizing type B towns for each unit of education they provide. It wants to do this in such a way that the taxes on type A towns are just enough to finance the subsidies on type R towns. If there are three type A towns for every four type B towns, how big a tax should Dela land levy on type A towns? How big a subsidy should they provide to type B towns
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