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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4, Problem 12RE

Textbook Problem

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Essay Contest Four finalists are competing in an essay contest. Judges have read and ranked each essay in order of preference. The results are shown in the preference schedule below.

a. Using the plurality voting system, who is the winner of the essay contest?

b. Ds this winner have a majority?

c. Use the Borda count method of voting to determine the winner of the essay contest.

To determine

**(a)**

Using the plurality voting system, who is the winner of the essay contest?

**Given Information:**

Rankings | |||||

Crystal Kelley | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Manuel Ortega | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Peter Nisbet | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Sue Toyama | 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 |

**Concept used:**

The winner of essay contest is Manuel Oriega

To determine

**(b)**

Does this winner have a majority?

To determine

**(c)**

Use the Borda count method of voting to determine tile winner of the essay contest.

Mathematical Excursions (MindTap Course List)

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