1. List the total points for each candidate. Show how you calculate each candidate's total points. A: 160+100+30+18-308 B: 120+75+60+54-309 C: 80+25+120+72-297 D: 40+50+90+36-216 2. Under the Borda method, the candidate who wins the vote is B 3. How many votes are needed to win the majority? 566 votes are needed to win the majority.
1. List the total points for each candidate. Show how you calculate each candidate's total points. A: 160+100+30+18-308 B: 120+75+60+54-309 C: 80+25+120+72-297 D: 40+50+90+36-216 2. Under the Borda method, the candidate who wins the vote is B 3. How many votes are needed to win the majority? 566 votes are needed to win the majority.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. List the total points for each candidate.
Show how you calculate each candidate's total points.
A: 160+100+30+18-308
B: 120+75+60+54=309
C: 80+25+120+72=297
D: 40+50+90+36-216
2. Under the Borda method, the candidate who wins the vote is B
3. How many votes are needed to win the majority? 566 votes are needed to win the
majority.
4. Now determine the head-to-head winner. Fill in the table below. The first column is filled
out for you as an example.
40
25
30
18
Winner in
Head-to-Head
A vs B
A vs C
A vs D
A-40
A-25
B-30
B-18
B vs C
B vs C
C vs D
5. Who wins the head-to-head? How does the candidate win the head-to-head?
6. What can you say about the head-to-head criterion? Determine whether or not the Borda
method violates the head-to-head criterion.
Write your response below:

Transcribed Image Text:Head-to-Head Criterion and Borda
Answer the following questions and determine if the Borda method violates the
head-to-head criterion.
Use the table below to determine the Borda winner. Assign the point values to each vote.
Number of Votes
First (4 pts)
30
с
40
25
18
D
A
Second (3 pts)
B
Third (2 pts)
D
Fourth (1 pt)
D
A
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