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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 28ES

Textbook Problem

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Election Five candidates are running for president of a charity organization. Interested persons were asked to rank the candidates in order of preference The results are given below.

Use the pairwise comparison method to determine the president of the organization.

To determine

Use the pairwise comparison method to determine the president of the organization.

**Given Information:**

Rankings | |||||

P. Gibson | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

E. Yung | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

R. Allenbaugh | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

T. Meckley | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

G. Dewitte | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Number of votes: | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

**Concept used:**

Create a table to keep track of each of the head-to-head comparisons. First note that a matchup between, say,

**Calculation:**

Versus | P. Gibson | E. Yung | R. Allenbaugh | T. Meckley | G. Dewitte |

P. Gibson | |||||

E. Yung | |||||

R. Allenbaugh | |||||

T. Meckley | |||||

G. Dewitte |

P. Gibson is favored over E. Yung with

E. Yung is favored over P. Gibson with

Therefore, the winner of this matchup is E. Yung, so that name is place in the R. Gibson versus E. Yung cell.

P. Gibson is favored over R. Allenbaugh with

R. Allenbaugh is favored over P. Gibson with

Therefore, the winner of this matchup is R. Allenbaugh, so that name is place in the P. Gibson versus R. Allenbaugh cell.

P. Gibson is favored over T. Meckley with

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