Q2 Suppose that are two people considering purchasing a public good. For each quantity purchased (Q), each individual gains a marginal benefit given by the following: Person 1: M31 = 12 - Q Person 2: M82 = 24 - 2Q The Marginal Cost of each unit of Q is given by: MC = 20 Given the above, answer the following questions: a) If each person had to buy their own quantity of the public good, how much would each person want to purchase? How much would end up being purchased privately? [6 points} b) Write down the Social Marginal Benefit Curve. What is the socially optimal equilibrium quantity? [8 points] Now suppose for Part c that we are at the private market equilibrium, which is your answer from Part a. The government wants to step in and tax each of these individuals and use the raised revenue to purchase another unit of this good. Each individual can be taxed a different amount. c) Propose a tax that will both (i) allow enough money to be raised for this additional unit of the public good and (ii) will make both Person 1 and Person 2 better off. How much will each of them pay? Once again, Person 1 and Person 2 can be charged different amounts. [6 points]