Homework SourseQues 16 httppuushoSdLL889f3ad66dpngSolutionFor the Borda Cou
Ques 16
http://puu.sh/oSdLL/889f3ad66d.png
Solution
For the Borda Count Method, each candidate (or alternative) gets 1 point for each last place vote received, 2 points for each next-to-last point vote, etc., all the way up to N points for each first place vote (where N is the number of candidates/alternatives). The candidate with the largest point total wins the election.
for our problem the total number of votes or ballots are = 12+24+3+9+11 = 59
there are 4 alternatives so the 4th place will gove 1 point , 3rd place will fetch 2 points , second place gets 3 points and 1st place gives 4 points.
so according to the Bords count method OPTION A : Theater is selected as it gets the maximum count of 185
| H: | 4( | 12 | ) + 3(0 | ) + 2(36 | ) + 1(1 | ) = 48 + 0 + 72 + 11 = 131 | |||||
| L: | 4( | 24 | ) + 3(26 | ) + 2(0 | ) + 1( | 9 | ) = 96 + 72 + 0 + 9 = 183 | ||||
| T: | 4( | 23 | ) + 3(24 | ) + 2( | 9 | ) + 1(3 | ) = 92 + 72 + 18 + 3 = 185 | ||||
| F: | 4( | 0 | ) + 3(9 | ) + 2( | 14 | ) + 1( | 36 | ) = 0 + 27 + 28 + 36 = 91 |
