Explanation Given: The preference ballots of the candidates in favor of professor are given below: Number of Votes 30 22 18 10 2 First choice F G S D G Second choice D D G S S Third choice G S D G D Fourth choice S F F F F Formula used: Alloaction of points = Number of votes × Points receieved Calculation: As per Borda count method, each candidate is ranked by the voter from most favorable to least favorable. The last vote is considered as 1 point and the second last point is considered as 2 points and so on. The candidate who receives a maximum number of points is considered to be the winner of the election. In the present case, the voter has four choices to vote. As per this method, each last choice professor received 1 point, the second last professor received 2 points, the third last professor received 3 points, and the first choice professor received 4 points. The professor who receives a maximum number of points shall be selected using the Borda count method. The points allocated to each professor is the product of a number of votes and the points received by the professors. Prepare the statement showing the allocation of points as follows: Number of votes 30 22 18 10 2 Frist choice F = 30 × 4 = 120 G = 22 × 4 = 88 S = 18 × 4 = 72 D = 10 × 4 = 40 G = 2 × 4 = 8 Second choice D = 30 × 3 = 90 D = 22 × 3 = 66 G = 18 × 3 = 54 S = 10 × 3 = 30 S = 2 × 3 = 6 Third choice G = 30 × 2 = 60

7th Edition

ISBN: 9780134683713

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 12, Problem 19T

To determine

To calculate: The professor who is declared as a new president using Borda count method.

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Chapter 12, Problem 18T

Chapter 12, Problem 20T

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