1.2 Question 2 Consider a small geographic region with a total population of 1 million people. There are two towns, Aplhaville and Betaville, in which each person can choose to live. For each person, the benefit from living in a town increases for a while with the size of the town (because larger towns have more amenities and so on), but after a point it decreases (because of congestion and so on). If x is the fraction of the population that lives in the same town as you do, your payoff is then given by & fo