Chapter 14, Problem 23RE

A Taste Test 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.

Number of Votes	54	24	23	21	12
First	P	R	N	B	B
Second	R	B	B	N	N
Third	N	N	R	P	R
Fourth	B	P	P	R	P

1. a. Which brand is favored over all others in a head-to-head comparison?
2. b. Which brand wins if the plurality method is used?
3. c. Which brand wins if the Borda count method is used?
4. d. Which brand wins if the plurality with elimination method is used?
5. e. Which brand wins if the pairwise comparison method is used?
6. f. Which voting method(s) in parts (b) through (e) violate the head-to-head criterion?