A professional organization is planning a conference and needs to choose one of the following locations: Austin (A), San Francisco (F), St Louis (S), or Honolulu (H). The employees rank the four possible sites according to the following preference schedule. First A A A F Second H. H. F S Third F A S A Fourth S F A A 4 8 1. How many votes were cast? 2. How many first place votes does each location have? Does any candidate have a majority? 3. Find the Borda count for each location. の|エ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A professional organization is planning a conference and needs to choose one of the following locations:
Austin (A), San Francisco (F), St Louis (S), or Honolulu (H). The employees rank the four possible sites
according to the following preference schedule.
First
A
F
A
А
H
Second
S
S
H.
F
Third
F
A
H
A
Fourth
A
A
H.
7
4
7
6
8
1. How many votes were cast?
2. How many first place votes does each location have? Does any candidate have a majority?
3. Find the Borda count for each location.
4.
Which 2 locations would compete in a single runoff? Find the winner of a single runoff.
5. Find the winner using sequential runoff. Show the results of each round in a table.
Round 1
Round 2
Round 3
Transcribed Image Text:A professional organization is planning a conference and needs to choose one of the following locations: Austin (A), San Francisco (F), St Louis (S), or Honolulu (H). The employees rank the four possible sites according to the following preference schedule. First A F A А H Second S S H. F Third F A H A Fourth A A H. 7 4 7 6 8 1. How many votes were cast? 2. How many first place votes does each location have? Does any candidate have a majority? 3. Find the Borda count for each location. 4. Which 2 locations would compete in a single runoff? Find the winner of a single runoff. 5. Find the winner using sequential runoff. Show the results of each round in a table. Round 1 Round 2 Round 3
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