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: 14

Answer

Since Professor Disney received the most points, Professor Disney is declared the new president 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. Disney: 4(10) + 3(30+22) + 2(18+2) + 1(0) = 236 points Sarnoff: 4(18) + 3(10+2) + 2(22) + 1(30) = 182 points Gates: 4(22+2) + 3(18) + 2(30+10) + 1(0) = 230 points Ford: 4(30) + 3(0) + 2(0) + 1(22+18+10+2) = 172 points Since Professor Disney received the most points, Professor Disney is declared the new president using the Borda count method.
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