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: 13

Answer

Since Professor Freud received the most points, Professor Freud is declared the new division chair using the Borda count method.

Work Step by Step

With the Borda count method, each candidate receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The candidate who receives the most points is declared the winner. We can find the total points for each candidate. Darwin: 4(30) + 3(0) + 2(2) + 1(22+20+12) = 178 points Einstein: 4(22) + 3(20+12) + 2(0) + 1(30+2) = 216 points Freud: 4(20) + 3(22+2) + 2(30+12) + 1(0) = 236 points Hawking: 4(12+2) + 3(30) + 2(22+20) + 1(0) = 230 points Since Professor Freud received the most points, Professor Freud is declared the new division chair using the Borda count method.
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