Explanation Given: The three styles of bulletproof vests labeled as A, B and C which can be chosen by the police department officers are listed below. Number of votes 26 15 10 7 First choice A B C B Second choice B C A A Third choice C A B C Voting method use: Borda count method The Borda count method requires the voter to rank each candidate from most favorable to the least favorable then assign 1 points to the last place candidate, 2 points to the next-to-the-last-place candidate and so for 3 points to the third from-the-last-place candidate. And the points for each candidate are totaled separately, and the candidates who have most points wins the election. Calculation: According to the steps of Borda count method, first need to calculate the total number of points for each jacket. The first-place votes for jacket named with A is 26. Obtain the total number of points for jacket named with A: The 26 first-place votes gives 26 × 3 = 78 points. Similarly, the sum 10 + 7 = 17 second-place vote gives 17 × 2 = 34 points and the 15 third-place votes implies 15 × 1 = 15 points. Thus, the sum of all points for the jacket named A is 78 + 34 + 15 = 127 points

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Author: sobecki

Publisher: MCG CUSTOM

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Chapter 12, Problem 12RE

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To find: The winner of the bulletproof vest style using the Borda count method.

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Chapter 12, Problem 11RE

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Chapter 12 Solutions

MATH IN OUR WORLD (LL) W/18 WEEKS ALEKS

Ch. 12.1 - The Student Activities Committee at Camden College...Ch. 12.1 - An election was held for the chairperson of the...Ch. 12.1 - Prob. 3TTO Ch. 12.1 - Prob. 4TTO Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Explain the head-to head comparison criterion.Ch. 12.1 - 5. What is a fairness criterion for an election? Ch. 12.1 - Prob. 6E

Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E Ch. 12.1 - Prob. 9E Ch. 12.1 - Prob. 10E Ch. 12.1 - Prob. 11E Ch. 12.1 - Prob. 12E Ch. 12.1 - Prob. 13E Ch. 12.1 - Prob. 14E Ch. 12.1 - Prob. 15E Ch. 12.1 - For Exercises 15–18, rewrite the preference table...Ch. 12.1 - Prob. 17E Ch. 12.1 - Prob. 18E Ch. 12.1 - Using the election results given in Exercise 9,...Ch. 12.1 - 20. 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The winner of the bulletproof vest style using the Borda count method.

Solution Summary: The author explains the Borda count method, which requires the voter to rank each candidate from most favorable to least favorable then assign 1 point to the last place candidate.

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Chapter 12 Solutions