In a taste test, 114 people are asked to taste and rank four different brands of spaghetti sauce. The choices are Ragu (R), Prego (P), Newman’s Own (N), and Barilla (B). The preference table is shown below.

(a) Which brand is favored over all others in a head-to-head comparison? 

(b) Which brand wins if the plurality method is used? 

(c) Which brand wins if the Borda count method is used? 

(d) Which brand wins if the plurality with elimination method is used? 

(e) Which brand wins if the pairwise comparison method is used? 

(f ) Which voting method(s) in parts (b) through (e) violate the head-to-head criterion?

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Number of Votes First 24 12 21 34 23 R N B B Second R B Third R P R Fourth B R P P.