51. Not every state holds its primary on the same day. Suppose five primaries are held in succession and that delegates are awarded in a winner-take-all manner, in which the candidate with the most popular votes is awarded all the state’s delegates. The primaries of the states 1, 2, 3, 4, and 5 occur in numerical order. If the median of state is and each state has the same number of electoral votes, then the median of the entire population is 3. Assume Candidates and announce policy positions of 2 and 3.5, respectively. Determine the outcome of each primary. Who should win the combined primary election?

The winner of early primaries receives more campaign contributions than the losers of the primaries. These funds can be used to influence the opinion of the voters. Suppose that Candidate uses the money raised after winning states 1 and 2 in such a way that the electorate in states 3, 4, and 5 believe ’s ads in which Candidate is portrayed as having a policy position of 4.1. Who wins the election now? Do you believe that money can influence an election in such a way? Explain.