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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 40ES

Textbook Problem

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Scholarship Awards The members of a scholarship committee have ranked four finalists competing for a scholarship in order of preference. The results are shown in the preference schedule below.

If you are one of the voting members and you want David Chang to win the scholarship, which voting method would you suggest that the committee use?

To determine

Use the plurality with elimination method of voting to determine the four officers in

Exercise

**Given Information:**

Rankings | ||||||

Cynthia | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Andrew | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Jen | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Hector | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | |

Ahmad | 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:**

Use plurality with elimination method to determine four officers,

**Calculation:**

In a table Cynthia has no 1^{s}^{t} place votes so Cynthia is eliminated from the table new preference schedule as shown below.

Andrew | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Jen | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Hector | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ |

Ahmad | â€ƒâ€ƒ | â€ƒâ€ƒ | â€ƒâ€ƒ | & |

Mathematical Excursions (MindTap Course List)

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