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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 39ES

Textbook Problem

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**39.** Election A campus club needs to elect four officers: a president. a vice president. a secretary, and a treasurer. The club has five volunteers. **Rather than** vote individually for each position, the club members will rank the candidates **in** order of preference. The votes will then be tallied using the Borda count method. The candidate receiving the highest number of points will be president, the candidate receiving the next highest number of points will be vice president, the candidate receiving the next highest number **of** points will be secretary, and the candidate receiving the next highest number of points will be treasurer. For the preference schedule shown below, determine who wins each position in the club.

To determine

Use Borda count method to determine who wins each position in the club.

**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 Borda count method to determine who wins each position in the club.

**Calculation:**

Each 1^{s}^{t} place vote receive ^{n}^{d} place vote receive ^{r}^{d} place vote receive ^{t}^{h} place vote receive ^{t}^{h} place vote receive

Cynthia:

â€ƒâ€ƒ

Andrew:

â€ƒâ€ƒ

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