Suppose there a bunch of people who have different preferences about how much to spend on vouchers to private schools. Their preferences are represented in the table below. The people need a government to enact a policy and they can either choose to have a single government which imposes a uniform policy for all the people or they can split the city into two regions that each have their own policy. Person Preferred spending Bernard _ \" w \" Each government costs SC to operate and the cost is spread evenly among the people in the town. it isn't possible to have more than 2 governments because that would make the problem even harder. If the variable 5 represents the actual spending, pi represents their preferred spending, and n represents the number of people within their town/government then the utility of each person isUE= 1-Ip5-sI-f-l