Question: 2. Six candidates , Sophia , Mark , John , Jenny , Mike and Sky were nominated for Chairman position in an organization . After


2. Six candidates , Sophia , Mark , John , Jenny , Mike and Sky were nominated for Chairman position in an organization . After the polls close , ranked ballots were tallied , and the results are summarized below a. What percent of the votes did the winner receive ? b. Determine the winner using plurality with elimination , Borda Count and pairwise comparative methods of voting Plurality with Elimination : Rankings Sophia 3 Mark John Jenny 4 Mike Sky 4 2 Number of Votes 28 12 25 30 Total Number of Votes = 120 From the table above , Mark and Jenny receive no first -place vote and therefore they will be eliminated first . After eliminating , adjust the ranking Rankings Sophia 3 John Mike Sky 2 Number of Votes 28 12 25 30 25 Sophie : 28 John : 30 Mike : 25 Sky : 12 + 25 = 37 There is still no candidate who have the majority of vote . Therefore , we will eliminate the one who got the least vote which is "Mike ". After eliminating , adjust the ranking . Rankings Sophia John W NE Sky Number of Votes 28 12 25 30 25 Sophia : 28 John : 30 Sky : 12 + 25 + 25 = 62 Since "Sky" hit the majority vote "61 above ". Therefore , "Sky" is the winner in the position of chairman in the organization
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
