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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 17RE

Textbook Problem

4 views

Use the pairwise comparison method of voting to choose the groups favorite candy bar in Exercise 15.

To determine

Use the plurality with elimination method to determine tile group's favorite candy bar.

**Given Information:**

Rankings | |||||

Nestle Crunch | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Snickers | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Milky way | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Twix | 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:**

Plurality with elimination method

**Calculation:**

Create a table to keep track of each of the head to head comparisons. Before we begin note that a matchup between, say, Nestle Crunch and Snickers is same as the matchup between Snickers and Nestle Crunch. Therefore we will shade the duplicate cell and the cell between the same candy bars. This is shown below

Versus | Nestle Crunch | Snickers | Milky Way | Twix |

Nestle Crunch | ||||

Snickers | ||||

Milky Way | ||||

Twix |

Nestle Crunch is favored over Snickers with

Snicker is favored over Nestle Crunch with

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