Page 13. Kindly write the answer and solution on a sheet of paper or anything that can easily read and understand. Thankyou!

12. The following is the preference table from a science club election where the candidates are Arrow (A), Bennett (B), Candice (C), and Danny (D). 7 72 25 18 Number of Voters 20 A D 1 st choice A B C A 2nd choice B D A D 3'd choice C D C B D A C B 4th choice Determine the winner of the election using the indicated method. a. Plurality Method b. Plurality with Elimination Method c. Borda Count d. Top Two Runoff e. Pairwise Comparison 13. One hundred customers were asked to rank their choices of five most popular fast food chains in the country. The results are shown in the preference table below. Numbers of Voters 72 20 25 18 1 st choice A B C A D 2nd choice D A D B A 3rd choice B C B D C 4th choice C D A B Determine the most popular fast food chain using indicated method. a. Plurality method b. Plurality with elimination method c. Borda count d. Top two runoff e. Pairwise comparison 14. Forty senior high school students from a math class were asked to pick four varieties of food that will be served for a dinner event. The students were allowed to vote more than one choice. The results are shown in the table below. Choices Number of students who voted Korean food and American food 7 American food and Filipino food 7 K - Chinese food and Filipino food 8 Korean food, American food, and Chinese food 14 All four kinds of food 4 Which food will be served for the dinner event using the approval voting method? 15. Shown below is the preference list for the three candidates. Determine the winner using the Borda Count Method. Candidate Ranking A 3 2 B 1 3 IN W H C 2 1 Total Votes 83 75 5 SC Does this election violate the majority criterion using the Borda Count Method