3) A non-profit agency is electing a new chair of the board. The votes are shown below. Number of Voters 1st Choice 2nd Choice 3rd Choice 11 Atkins Cortez Burke U Ja 5 Cortez Burke Atkins a. How many voters voted in this election? b. How many votes are needed for a Majority? A Plurality? C. Find the winner using the Plurality Method d. Find the winner using the Borda Count Method e. Find the winner using the Pairwise Method. 10 Burke Cortez Atkins 3 Atkins Burke Cortez

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

*Contemprary Mathematics* 

### Election for Chair of the Board

A non-profit agency is electing a new chair of the board. The votes are shown below:

| Number of Voters | 11      | 5      | 10     | 3      |
|------------------|---------|--------|--------|--------|
| 1st Choice       | Atkins  | Cortez | Burke  | Atkins |
| 2nd Choice       | Cortez  | Burke  | Cortez | Burke  |
| 3rd Choice       | Burke   | Atkins | Atkins | Cortez |

#### Questions

a. **How many voters voted in this election?**

b. **How many votes are needed for a Majority? A Plurality?**

c. **Find the winner using the Plurality Method.**

d. **Find the winner using the Borda Count Method.**

e. **Find the winner using the Pairwise Method.** 

This table provides a breakdown of voters' preferences across different candidates for the position of chair of a non-profit board. Each column represents a group of voters with specific rankings for their first, second, and third choices.
Transcribed Image Text:### Election for Chair of the Board A non-profit agency is electing a new chair of the board. The votes are shown below: | Number of Voters | 11 | 5 | 10 | 3 | |------------------|---------|--------|--------|--------| | 1st Choice | Atkins | Cortez | Burke | Atkins | | 2nd Choice | Cortez | Burke | Cortez | Burke | | 3rd Choice | Burke | Atkins | Atkins | Cortez | #### Questions a. **How many voters voted in this election?** b. **How many votes are needed for a Majority? A Plurality?** c. **Find the winner using the Plurality Method.** d. **Find the winner using the Borda Count Method.** e. **Find the winner using the Pairwise Method.** This table provides a breakdown of voters' preferences across different candidates for the position of chair of a non-profit board. Each column represents a group of voters with specific rankings for their first, second, and third choices.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,