5. The community of East Nashville is home to 10000 people. These people do two things. They go to brunch and they take their dogs to a dog park. Each has income of 100000. Their utiiity functions are composed of how much brunch they can buy (31- and how nice the dog park is D. Their utility functions are u (bi, D) = bi + 10000511 (D). How nice the dog park is D is determined by the sum of money contributions of each individual to the park. These are given by di and D = Zruuuu (di). Assume that these consumers choose di and spend the 1:] rest of their money on brunch. A) Write each individual's utility in terms of only (11- and D4 = D di. B) How much does each individual contribute to the dog park in a symmetric Nash equilibrium? C) If the government wants to force individuals to contribute 5! instead of having them choose what to contribute, what should they choose to maximize joint utility