Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - Chapter Summary, Review, and Test - Review Exercises: 14

Answer

Using the Borda count method, Proposal B is selected as the design that will be used for the affordable housing.

Work Step by Step

With the Borda count method, each proposal receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The proposal with the most points is declared the winner. We can find the total points for each proposal. Proposal A: 4(1500) + 3(0) + 2(0) + 1(600 + 300) = 6900 points Proposal B: 4(600) + 3(1500 + 300) + 2(0) + 1(0) = 7800 points Proposal C: 4(300) + 3(0) + 2(1500 + 600) + 1(0) = 5400 points Proposal D: 4(0) + 3(600) + 2(300) + 1(1500) = 3900 points Since Proposal B received the most points using the Borda count method, Proposal B is selected as the design which will be used for the affordable housing.
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