Suppose that there are three groups of voters in North town where there is a vote coming up soon to determine the number of old-growth trees to protect from logging in order to save habitat for the rare checkered owl. The choices are a high level of protection, an intermediate level of protection, and no protection whatever. 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. Will it result in a voting paradox? Why or why not?
c. Determine the result of the vote.

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Most preferred Scond choice L choice Least prefered Voter Group choice no protection high protection Tree-Huggers high protection medium protection Ditto Heads no protection medium protection medium high protection no protection protection