Suppose that there are three equal-sized groups of voters in a community trying to select the amount of educational expenses per student. The alternatives are to spend either $3000, $5000, or $7000 per student. The positions of the three voting groups are shown below: Table 1.1: Benefit Matrix Group Most Preferred Second Choice 1 II III 3000 5000 7000 5000 7000 3000 Third Choice 7000 3000 5000 a. Would majority voting select a level of spending? Why? b. What is the next best alternative in selecting a level of government spending? c. Is there a problem with the method you proposed in (b)? If there is a problem with the method you proposed in (b) what are these problems? Plot the preferences of each group and provide a discussion.