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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 4.2, Problem 33ES

Textbook Problem

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Does the winner in Exercise 2k satisfy the Condorcet criterion?

To determine

Does the winner in Exercise

Exercise 23c- Using the Borda count method of voting, how should the money be spent?

**Given Information:**

Winner in Exercise

**Concept used:**

Create a table to keep track of each of the head-to-head comparisons.

**Calculation:**

Versus | Establish a Scholarship | Pay for several Members to travel to a convention | Buy new computers for the club | Throw an end-of-year party | Donate to Charity |

Establish a Scholarship | |||||

Pay for Several Members to travel to a convention | |||||

Buy new computers for the club | |||||

Throw an end-of-year party | |||||

Donate to Charity |

Establish a scholarship is favored over travel with

Travel is favored over Scholarship with

Therefore, the winner of this matchup is pay for several members to travel to a convention, so that name in place establishes a scholarship versus travel to convention cell.

Establish a scholarship is favored over computers with

Computer is favored over Scholarship with

Therefore, the winner of this matchup is establishing a scholarship, so that name in place establishes a scholarship versus buy new computers cell.

Establish a scholarship is favored over end-of-year with

End-of-year is favored over Scholarship with

Therefore, the winner of this matchup is establishing a scholarship, so that name in place establishes a scholarship versus end-of-year cell.

Establish a scholarship is favored over Charity with

Charity is favored over Scholarship with

Therefore, the winner of this matchup is establishing a scholarship, so that name in place establishes a scholarship versus charity cell.

Travel is favored over computers with

Computer is favored over travel with

Therefore, the winner of this matchup is travel to a convention, so that name in place is the travel to convention versus buy new computers cell.

Travel is favored over end-of-year with

Mathematical Excursions (MindTap Course List)

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