2. The Parks and Recreation Department of Pawnee is trying to decide on the number of reworks shows for the summer of 2022. The cost of each reworks show is $50. Pawnee has 10 residents and each have the same willingness to pay, which is decreasing in the number of reworks shows q : Sq. (You can ignore the effects of the free rider problem below.) a. What is the social marginal benefit of reworks shows? [4 points] b. What is the social optimal number of reworks shows? [4 points] April Ludgate proposes that the Parks and Recreation Department should just let the market determine the number of reworks shows and be done with it. c. What is the market demand for reworks shows? [4 points] d. What is the market equilibrium number of reworks shows? [4 points] Ben Wyatt proposes that the Parks and Recreation Department should provide a subsidy for reworks. e. What is the optimal subsidy that implements the social optimum? [4 points]