Explanation Use Borda count method and obtain the count of every candidate, based on the given table. At fourth level, A receives ( 2 + 1 ) = 3 votes that count to ( 3 × 1 ) = 3 points, at third level, A receives 0 vote that counts to ( 0 × 2 ) = 0 point, at second level, A again receives 0 vote that counts to ( 0 × 3 ) = 0 point, and at first level, A receives ( 3 + 1 ) = 4 votes that count to ( 4 × 4 ) = 16 points. Thus, the total points of A become ( 3 + 0 + 0 + 16 ) = 19 . At fourth level, B receives 0 vote that counts to ( 0 × 1 ) = 0 point, at third level B again receives 0 vote that counts to ( 0 × 2 ) = 0 point, at second level B receives ( 3 + 1 ) = 4 votes that count to ( 4 × 3 ) = 12 and at first level B receives ( 2 + 1 ) = 3 votes that counts to ( 3 × 4 ) = 12 points. Hence, the total points of B become ( 0 + 0 + 12 + 12 ) = 24

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

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Chapter 14.2, Problem 10E

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To explain: Whether the Borda count method satisfy the majority criteria is or not.

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Chapter 14.2, Problem 9E

Chapter 14.2, Problem 11E

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Chapter 14 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

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Whether the Borda count method satisfy the majority criteria is or not.

Solution Summary: The author explains that the Borda count method does not satisfy the majority criteria.

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