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mod_04_assignment_1-1.docxG180 Module 04 Assignment
The student body at Eisenhower High School is having an election for Homecoming King. The candidates are Aaron, Brad, Charles and David (A, B, C, D for short). The following table gives the preference schedule for the election.
|
Number of votes |
143 |
110 |
43 |
241 |
53 |
31 |
110 |
152 |
183 |
142 |
|
|
1st choice |
A |
A |
A |
B |
B |
B |
C |
C |
D |
D |
|
|
2nd choice |
C |
B |
D |
D |
C |
C |
A |
B |
A |
B |
|
|
3rd choice |
B |
D |
C |
A |
D |
A |
D |
A |
C |
C |
|
|
4th choice |
D |
C |
B |
C |
A |
D |
B |
D |
B |
A |
|
a. How many students voted?
b. How many first place votes are needed for a majority?
c. Use the plurality method to find the winners of the election.
d. Tie-breaking rule: If there more than one alternative with a plurality of the first-place votes, then the tie is broken by choosing the alternative with the fewest last-place votes. Who would be the Homecoming King under this tie-breaking rule?
e. A different tie-breaking rule: If there are two candidates tied with plurality of the first-place votes, the tie is broken by head-to-head comparison between the two candidates. Who would be the Homecoming King under this tie-breaking rule?
f. Using the Borda Count Method, find the winner of the election.
g. Use the plurality-with-elimination method to find the winner of the election.
