ashleyprescot05
29.09.2021 •
Mathematics
Please list your answer with a, b, c, d, e, f:
Four candidates (Nikolai, Fernando, Maddie and Janey) were interviewed for a manager position at a company. The interviewing committee ranked their choices in order of preference in the table below.
Votes for manager candidates
VOTES5 voters6 voters5 voters3 voters4 voters
1st choice
FernandoNikolai MaddieNikolaiJaney
2nd choice
NikolaiFernandoNikolaiJaneyNikolai
3rd choice
MaddieJaneyFernandoMaddieMaddie
4th choice
JaneyMaddieJaneyFernandoFernando
a. How many voters were on the interviewing committee?
b. A majority is needed to win in this scenario. How many votes are needed for a majority
c. Did any candidate receive a majority of the 1st place votes?
d. Employ the Instant Runoff method to determine who will be hired.
e. If the Borda Count is employed, how many points should be given to
1st choice:
2nd choice:
3rd choice:
4th choice:
f. Next, employ the Borda Count method to determine who will be hired. Record each candidate’s points in the spaces below.
Nikolai:
Fernando:
Maddie:
Janey:
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