Applying Four Voting Methods to a Voter Profile For each of Exercises 11-18, determine the election winner using the
(a) plurality method
(b) pairwise comparison method
(c) Borda method
(d) Hare method.
In Exercises 11 and 12, a 13-member committee is selecting a chairperson. The 3 candidates are
Amy a, Byron b, and Cory c.
Each committee member completely ranked the candidates on a separate ballot. Determine the selected chairperson.
In Exercises 13 and 14, a 13-member committee is selecting a new company logo from 3 alternatives
a, b. and c.
Eachcommittee member completely ranked the possible logos on a separate ballot. Determine the new company logo.
Number of Voters | Ranking |
6 | a > b > c |
1 | b > c > a |
3 | b > a > c |
3 | c > a > b |
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Chapter 15 Solutions
Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)
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- A public opinion poll in Ohio wants to determine whether registered voters in the state approve of a measure to ban smoking in all public areas. They randomly select 50 voters from each county in the state and ask whether they approve or disapprove of the measure.This is an example ofarrow_forwardThe Science club is selecting its representative for a competition. The members rank the 4 candidates given in the preference table below: Who is the Hare system winner?arrow_forwardHere are the vote tallies from an election. Determine the winner using plurality, runoff, and eliminate the loser methods. Number of Students 18 votes 12 votes 10 votes 9 votes 4 votes 2 votes First Choice B Second A E D E B B Choice Third E D E D D Choice Fourth B B Choice Fifth Choice A B A A A A Determine the winner using a) Plurality method b) Runoff method c) Eliminate the loser method.arrow_forward
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