Answer the questions?
DO ODD QUESTIONS ONLY
If the pairwise comparison method is used to determine the most desirable location, which is it? 15. An English department is voting for a new department page 768 chairperson. The three candidates are Professor Greene (G), Professor Williams (W), and Professor Donovan (D). The results of the election are shown in the preference table. Number of votes 10 7 4 First choice D W G G Second choice W D Third choice W G D W (a) Determine the winner using the pairwise comparison voting method. (b) Compare the winner with the one determined by the plurality-with-elimination method. See Exercise 19 of Section 12-2. 16. A gaming club holds a vote to decide what type of video game they'll play at the next meeting. The choices are sports (S), action (A), or role-playing (R). The preference table for the results is shown here. Number of votes 10 6 5 First choice R S Second choice R Third choice (a) Determine the winner using the pairwise comparison method. (b) Compare the winner with the one determined by the Borda count method used in Exercise 7 of Section 12-2. 17. The Mckees' Point Yacht Club Board of Directors wants to decide where to hold their fall business meeting. The choices are the Country Club (C), Frankie's Fine Foods (F), West Oak Golf Club (W), and Rosa's Restaurant (R). The results of the election are shown in the preference table. Number of votes 8 6 5 2 First choice R W Second choice W R F R Third choice F Fourth choice F W W (a) Determine the winner using the pairwise comparison method. (b) Is this the same winner as the one using the Borda count method in Exercise 8 of Section 12-2? 18. The students in Dr. Lee's math class are asked to vote on the starting time for their final exam. Their choices are 8:00 A.M., 10:00 A.M., 12:00 P.M., or 2:00 P.M. The results of the election are shown in the preference table. Number of votes 8 12 5 3 2 2 First choice 10 12 2 10 Second choice 10 2 12 12 Third choice 12 2 10 8 10 Fourth choice 2 12 10 17(a) Determine the starting time using the pairwise comparison method. (b) Is this the same starting time as determined by the plurality-with-elimination method used in Exercise 22 of Section 12-2? What about the plurality method in Exercise 14 of Section 12-1? 19. If Professor Donovan was unable to serve as department chairperson in the election shown in Exercise 15 and the votes are recounted, does this election violate the irrelevant alternatives criterion? 20. If the travel company from Exercise 14 loses its contract with Epcot, and the votes are recounted after Epcot is eliminated, is the irrelevant alternatives criterion violated? 21. If the West Oak Golf Club is unavailable and the votes were recounted in the election shown in Exercise 17, is the irrelevant alternatives criterion violated? 22. If a room for Dr. Lee's final exam was not available at 2:00 P.M. and the votes were recounted in the election shown in Exercise 18, is the irrelevant alternatives criterion violated? 23. A sports committee of students needs to choose a team doctor. The result of the voting is shown. The approval method will be used. Number of votes 15 18 12 10 5 Dr. Michaels Dr. Zhang Dr. Philip Dr. Perez Which doctor was picked? 24. The students at a college voted on a new mascot for their sports teams. The results of the election are shown. Using the approval voting method, determine the winner. Number of votes 235 531 436 374 Ravens Panthers Killer Bees Termites 25. A nursing school committee decides to buy a van for the school. They vote on a color using the approval voting method. The results are shown. Number of votes 1 2 1 3 2 1 White Blue Green Silver Which color was picked?13. A college band was invited to perform at three different shows on the same day: Real Town (R), Steel Center (S), and Temple Village (V). Since they could only perform at one show, they voted on which one they would do. The results are shown in the preference table. Number of votes 26 19 15 6 First choice R T S R Second choice S S R T Third choice T T S Using the pairwise comparison voting method, determine the winner. 14. An incentive travel program offers customers a free weekend vacation in exchange for sitting through a sales presentation. Currently the options are Disneyland (D), Epcot Center (E), SeaWorld (S), and the Flamingo Las Vegas casino (F). Customers are asked to rate each location from most to least desirable, and the results are tabulated. Number of voters 19 17 First choice D E D Second choice E S D F Third choice 5 D F S Fourth choice F F E E27. Due to prison overcrowding, a parole board has to release one page 769 prisoner on good behavior. After hearing each case, they decide to use the approval voting method. The result is shown here. Number of votes Inmate W Inmate X Inmate Y Inmate Z Which inmate was released
