(a) Explanation Compute the points for every candidate in each pair. By pairwise comparison method, the candidate who receives the highest points is declared as the winner. The pairs formed are A and B, A and C, A and D, A and E, B and C, B and D, B and E, C and D, C and E, and D and E. For the pair of A and B, A receives 8 + 8 = 16 votes and B receives 12 + 8 + 4 + 2 + 2 = 28 votes, hence B obtains 1 point. Similarly, for the pair of A and C A receives 8 + 8 + 8 = 24 votes and C receives 12 + 4 + 2 + 2 = 20 votes, hence A obtains 1 point. For the pair of A and D, A receives 8 votes and D receives 12 + 8 + 8 + 4 + 2 + 2 = 36 votes, hence D obtains 1 point. The pair of A and E, A receives 8 votes and E receives 12 + 8 + 8 + 4 + 2 + 2 = 36 votes, hence E obtains 1 point. For the pair of B and C, B receives 12 + 8 = 20 votes and C receives 8 + 8 + 4 + 2 + 2 = 24 votes, hence C obtains 1 point. For the pair of B and D, B receives 12 + 8 + 8 + 2 = 30 votes and D receives 8 + 4 + 2 = 14 votes, hence B obtains 1 point (b) To determine The company which is chosen if Chicago Labs is not included using the pairwise comparison method. (c) To determine To examine: Whether the second result violates the irrelevant alternatives criteria or not.

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 30E

(a)

To determine

The company that is chosen, if Chicago Labs is included using the pairwise comparison method.

(b)

To determine

The company which is chosen if Chicago Labs is not included using the pairwise comparison method.

(c)

To determine

To examine: Whether the second result violates the irrelevant alternatives criteria or not.

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Chapter 14.2, Problem 29E

Chapter 14.2, Problem 31E

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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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The company that is chosen, if Chicago Labs is included using the pairwise comparison method.

Solution Summary: The author explains how the Dow Chemical is chosen when Chicago Labs is included. The candidate who receives the highest points is declared as the winner.

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The company that is chosen, if Chicago Labs is included using the pairwise comparison method.

The company which is chosen if Chicago Labs is not included using the pairwise comparison method.

To examine: Whether the second result violates the irrelevant alternatives criteria or not.

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Chapter 14 Solutions