Question

The university administration has asked a groupof student leaders to vote on the aspects ofcollege life to target for improvement over thenext year. The choices were (H)ousing. (Library,(Theater, and (F)itness center. The votes aresummarized in the preference tableNumber of BallotsPreference 2 22 19 13 21st TLHTF2nd LHLHIT3rdHIFTLLFH4thFTFWhat option is selected using the plurality-with-elimination method?O A. TheaterOB. Fitness centerO C. HousingOD. Library

Answer 1

C - housing

Explanation:

First, we have to find the total number of ballots:

= 2+22+19+13+2

= 58

Now we have to divide it by 2 to figure out the majority:

58/2 = 29

To have majority is necessary 29 + 1 = 30 ballots

Now we have to evaluate the ballots for the first options:

H = 19

L = 22

T = 2+13 = 15

F = 2

Since we need 30 ballots to have a majority, we will eliminate F (fewer votes) and evaluate its second preference:

H = 19

L = 22

T = 15 + 2 (2nd preferencefrom last colunm) = 17

Since we need 30 ballots to have a majority, we will eliminate T (fewer votes) and evaluate its second OR third preference:

H = 19 + 13 = 32

H reached the majority. So, option C is correct.