Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - 13.1 Voting Methods - Exercise Set 13.1: 48

Answer

Soup A was the winner when we used the plurality method. However, soup B was selected the winner when we used the Borda count method, the plurality-with-elimination method, and the pairwise comparison method. Based on these results, it seems that soup B is the best soup to buy.

Work Step by Step

Initially, one might be tempted to buy soup A because it received the highest number of first-place votes. We can see this when we review exercise 27 which used the plurality method. However, when we review exercises 28-30, we can see that soup B was selected the winner when we used the Borda count method, the plurality-with-elimination method, and the pairwise comparison method. Based on these results, it seems that soup B is the best soup to buy.
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