14.1 Voting Methods 911 31. Determine the winner using the Borda count method. Choi 32. Determine the winner using the plurality method. Ross 33. Determine the winner using the pairwise comparison method. Ross 34. Determine the winner using the plurality with elimination method. Ross Post Office Sites In Exercises 35–38, the 11 members of the Henrietta Town Board must decide where to build a new post office. Their three choices are Lehigh Road (L), Erie Road (E), and Ontario Road (O). The preference table follows. Seinfeld (S), Good Times (G), and Friends (F). The 17 programmers rank their choices according to the following preference table. Number of Votes 5 2 4 First L E O Second E O E Third O L L 35. Determine the winner using the plurality method. Lehigh Road 36. Determine the winner using the Borda count method. Erie Road 37. Determine the winner using the plurality with elimination method. Ontario Road 38. Determine the winner using the pairwise comparison method. Erie Road Choosing a Contractor In Exercises 39– 42, the Flower City Glass board of directors is selecting a contractor to build a corporate headquarters expansion. They are considering proposals from four contractors: Bishara (B), Davis (D), Chang (C), and Stewart (S). The 15 members rank the four choices according to the following preference table. Number of Votes 6 4 3 2 First B B C D Second C D B B Third S C S C Fourth D S D S 39. Determine which contractor is selected using the plurality method. Bishara 40. Determine which contractor is selected using the Borda count method. Bishara 41. Determine which contractor is selected using the plurality with elimination method. Bishara 42. Determine which contractor is selected using the pairwise comparison method. Bishara Prime-Time Programming In Exercises 43– 46, the programmers at the Retro-Vision cable television station are deciding which classic TV show should lead their prime-time programming. Their choices are A Different World (D), Number of Votes 8 4 3 2 First G D S F Second F F F S Third S S D D Fourth D G G G 43. Determine which TV show is selected using the plurality method. Good Times 44. Determine which TV show is selected using the Borda count method. Friends 45. Determine which TV show is selected using the plurality with elimination method. Seinfeld 46. Determine which TV show is selected using the pairwise comparison method. Friends Flowers in a Garden In Exercises 47–50, the flowers in a garden at a resort need to be replaced. The choices for the flowers are geraniums (G), impatiens (I), petunias (P), and zinnias (Z). The head gardener holds an election in which all employees get to vote. The results of the election are given in the following preference table. Number of Votes 8 11 3 4 3 First G P P Z I Second P Z I I G Third I I Z G P Fourth Z G G P Z 47. Determine which flowers are selected using the Borda count method. Petunias 48. Determine which flowers are selected using the plurality method. Petunias 49. Determine which flowers are selected using the pairwise comparison method. Tie between Petunias and Zinnias 50. Determine which flowers are selected using the plurality with elimination method. Geraniums m The cast of Friends Pictorial Press Ltd/Alamy Stock Photo
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