Nine faculty members interview three candidates, Jackson (J), Carter (C), and Morton (M)...

Nine faculty members interview three candidates, Jackson (J), Carter (C), and Morton (M), for a new full-time position. The preferences are listed in the following table.

a. Find the winner using the plurality method.

b. Find the winner using the pairwise comparison method. Is any candidate a Condorcet candidate?

c. Find the winner using the Borda count method.

d. Consider the results from parts (a), (b), and (c), and identify which criterion has been violated and by which method. Justify your answer.