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 - Page 850: 9

Answer

Professor Darwin has the highest number of first-place votes, so Professor Darwin is declared the new division chair using the plurality method.

Work Step by Step

Using the plurality method, the candidate which has the most first-place votes is declared the winner of the election. We can find the number of first-place votes for each professor. The number of first-place votes for Professor Hawking is 12 + 2 which is 14 votes. The number of first-place votes for Professor Einstein is 22 votes. The number of first-place votes for Professor Freud is 20 votes. The number of first-place votes for Professor Darwin is 30 votes. Professor Darwin has the highest number of first-place votes, so Professor Darwin is declared the new division chair using the plurality method.
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