Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - Chapter Summary, Review, and Test - Review Exercises: 18

Answer

Candidate B is favored over all other candidates using a head-to-head comparison, and it is selected as the winner using the plurality-with-elimination method. Therefore, the head-to-head criterion is satisfied.

Work Step by Step

Candidate B has 1500 first-place votes, which is more than half the votes. Therefore, Candidate B has a majority of first-place votes. Since Candidate B has a majority of first-place votes, Candidate B is favored over all other candidates when we compare them head-to-head. Using the plurality-with-elimination method, Candidate B is selected as the winning candidate. Candidate B is favored over all other candidates using a head-to-head comparison, and it is selected as the winner using the plurality-with-elimination method. Therefore, the head-to-head criterion is satisfied.
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