Three people are voting for President. The first person prefers Donald Trump to Jeb Bush to Hilary Clinton. The second person prefers Hilary Clinton to Donald Trump to Jeb Bush. The third person prefers Jeb Bush to Hilary Clinton to Donald Trump. Pretend that the three people together form a united country with a set of preferences. The system of preferences are determined from majority voting (i.e. we say that the country prefers candidate A to candidate B if a majority of people would vote for candidate A over candidate B in a two-person election with only candidates A and B). Write the set of preferences for the country. Write a utility function representing those preferences.