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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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: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:
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
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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