A retail store would like to hire three new sales reps. A hiring committee made up of
Question:
A retail store would like to hire three new sales reps. A hiring committee made up of 8 current employees reviews the 6 candidates who applied for the position and rank the candidates (named U, V, W, X, Y, and Z) as indicated below.
Committee Member | Alice | Bhanvi | Carlos | Doris | Eiichiro | Frieda | Gigi | Haakim |
1st Choice | W | Y | Y | W | Y | W | Y | Z |
2nd Choice | Y | W | Z | U | X | Y | W | X |
3rd Choice | Z | X | W | Z | W | V | U | Y |
4th Choice | X | U | X | X | V | U | X | W |
5th Choice | V | Z | U | Y | Z | V | ||
6th Choice | U | V | V | V | X |
Who should the hiring committee select? Justify your answer by including the following information:
- Which of the voting methods discussed in this chapter do you think the committee should use?
- Why did you choose that method?
- Show your work of using your chosen method to determine the three candidates the retail store will hire.
Please note that there are multiple correct answers and methods for this problem. In particular, I’m not necessarily looking for any one specific voting method to be used here, so don’t think about this problem as “looking for the one perfect right answer.” Instead, think about the methods that have been discussed and determine which one you think will be most helpful in selecting three candidates for the position, and why you think that method will work best. Then explain your thought process with your answer.
Also notice that some members of the hiring committee did not include some of the candidates, account for missing rankings under each method.