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 851: 31

Answer

Rent is selected 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 which receives the most points is declared the winner. We can find the total points for each candidate. Cabaret: 5(5 + 4) + 4(0) + 3(2) + 2(3) + 1(5 + 3) = 65 points The Producers: 5(2) + 4(4 + 3) + 3(5) + 2(5) + 1(3) = 66 points Rent: 5(0) + 4(5 + 5 + 3) + 3(4 + 3) + 2(2) + 1(0) = 77 points Sweeney Todd: 5(5) + 4(2) + 3(3) + 2(4 + 3) + 1(5) = 61 points West Side Story: 5(3 + 3) + 4(0) + 3(5) + 2(5) + 1(4 + 2) = 61 points Since Rent received the most points, Rent is declared the winner using the Borda count method. Rent is selected using the Borda count method.
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