(a) Explanation Given: The awards 4 points, 3 points, 2 points, and 1 points for first, second, third, and forth place respectively. The preference table is shown below. Categories Cat Looks Eyes Size Attitude A 4 3 2 3 B 2 4 1 2 C 1 1 4 4 D 3 2 3 1 Voting method use: Borda Count Method: 1. Voters rank the candidates from the most favorable to the least favorable. 2. Each last place vote is rewarded one point, each next to last place vote is rewarded two points, each third place from the last place is rewarded three points, and so forth. 3. The candidate receiving the most points is the winner of the election. Calculation: Given that the 4, 3, 2 and 1 points represent the first, second, third and fourth places for each cat. Use the given preference table to obtain the total number of votes for each Cat... (b) To determine To find: The cat which wins the election by using a Borda count method that awards 5 points, 3 points, 1 points, and 0 points for first, second, third, and forth place respectively, in each category.

A Survey of Mathematics with Applications (10th Edition) - Standalone book

10th Edition

ISBN: 9780134112107

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

See similar textbooks

Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

Videos

Question

Chapter 14.1, Problem 44E

(a)

To determine

To find: The cat which wins the election by using the Borda count method.

(b)

To determine

To find: The cat which wins the election by using a Borda count method that awards 5 points, 3 points, 1 points, and 0 points for first, second, third, and forth place respectively, in each category.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14.1, Problem 43E

Chapter 14.1, Problem 45E

Students have asked these similar questions

Write the equation of the trigonometric function shown in the graph. LO 5 4 3 2 1 y -5 -5 4 8 8 500 -1 -2 -3 -4 -5 x 5 15л 5л 25л 15л 35π 5л 4 8 2 8 4 8

c) Using only Laplace transforms solve the following Samuelson model given below i.e., the second order difference equation (where yt is national income): - Yt+2 6yt+1+5y₁ = 0, if y₁ = 0 for t < 0, and y₁ = 0, y₁ = 1 1-e-s You may use without proof that L-1[s(1-re-s)] = f(t) = r² for n ≤t

5. 156 m/WXY = 59° 63 E 7. B E 101 C mFE = 6. 68° 8. C 17

Chapter 14 Solutions

A Survey of Mathematics with Applications (10th Edition) - Standalone book

Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 5E Ch. 14.1 - In Exercise 1-8, fill in the blank with an...Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Plurality Three candidates are running for mayor...Ch. 14.1 - Prob. 10E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The cat which wins the election by using the Borda count method.

Solution Summary: The author explains the Borda count method used to find the cat which wins the election with 11 points.