The student body at eisenhower high school is having an

Reference no: EM13469827

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
1^st choice	A	A	A	B	B	B	C	C	D	D
2^nd choice	C	B	D	D	C	C	A	B	A	B
3^rd choice	B	D	C	A	D	A	D	A	C	C
4^th 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.

Reference no: EM13469827

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