Five members of a hiring committee rank job candidates. Their preferences are summarized...

Five members of a hiring committee rank job candidates. Their preferences are summarized in the following table.

a. Which candidate is hired using the Borda count method?

b. Suppose a modified Borda count method is used, in which 6 points are assigned to 1st place, 3 points to 2nd place, 2 points to 3rd place, and 1 point to 4th place. Which candidate is hired using this method?

c. Which candidate is hired using the plurality with elimination method?

d. Which candidate is hired using the pairwise comparison method?

e. Is the head-to-head criterion violated by any method used in parts (a) through (d)? If so, explain why.