Suppose that there are three groups of voters in Scholarville where there is a budget vote coming up soon to determine the level of public school expenditures per pupil. The choices are a high level of expenditure, $10,000 per pupil per year, an intermediate level of expenditure, $5,000 per pupil per year, and a low level of expenditure, $3,000 per pupil per year. Three equal-sized groups of voters can be identified in the community with preferences summarized in the following table.

a. Plot the preferences of the three groups on a graph.
b. Determine whether the outcome of majority voting will be transitive. Use pair wise comparisons. Will it result in a voting paradox? Why or why not?
c. Determine the result of the vote.

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Voter Group MostpreferredS Second choice Least preferred choice 10,000 5,000 3.000 choice 5.000 10,000 10,000 3,000 5,000