A-50 ANSWERS Chapter 14 SECTION 14.1, PAGE 909 1. Majority 3. n n( 1) 2 − 5. Plurality 7. Pairwise comparison 9. 25. No. B wins by pairwise comparison. If A, C, and E drop out, D wins by pairwise comparison. 27. No. B wins by the Borda count method, but A has a majority of first-place votes. 29. a) Savannah b) Savannah c) Savannah d) Savannah e) Savannah f) None of them 31. a) Serena Williams b) Michael B. Jordan c) Yes 33. a) B b) A c) B d) C e) B f) Plurality and Plurality with Elimination 35. Yes 37. A candidate who holds a plurality only gains strength and holds an even larger lead if more favorable votes are added. 39. Answers will vary. 41. Answers will vary. SECTION 14.3, PAGE 942 1. Divisor 3. Upper 5. Quota 7. Hamilton’s 9. a) Webster’s b) Adams’ c) Jefferson’s 11. a) 50,000 b) 24.40, 54.60, 17.14, 53.86 13. a) 24.75, 55.38, 17.38, 54.62 b) 24, 55, 17, 54 15. 24, 55, 17, 54 17. a) 24.06, 53.85, 16.90, 53.12 b) 25, 54, 17, 54 19. a) 27 b) 11.33, 7.93, 5.74 21. a) 11.86, 8.29, 6.01 b) 11, 8, 6 23. a) 10.55, 7.38, 5.34 b) 11, 8, 6 25. 11, 8, 6 27. a) 11 b) 7.82, 9.27, 11.82, 21.09 c) 8, 9, 12, 21 29. 8, 9, 12, 21 31. a) 52 b) 33.58, 136.44, 40.98, 18.02, 20.98 c) 34, 136, 41, 18, 21 33. 33, 137, 41, 18, 21 35. a) 90 b) 42.67, 32.07, 26.58, 18.69 c) 43, 32, 26, 19 37. 43, 32, 26, 19 39. a) 750 b) 12.09, 20.37, 17.08, 7.63, 33.67, 9.17 c) 12, 20, 17, 8, 34, 9 41. 12, 20, 17, 8, 34, 9 43. a) 12 b) 62.58, 81.67, 41.92, 13.83 c) 62, 82, 42, 14 d) 63, 81, 42, 14 e) 63, 82, 42, 13 f) 62, 82, 42, 14 45. a) 7, 2, 2, 2, 8, 14, 4, 5, 10, 10, 13, 2, 6, 2, 18 b) 7, 1, 2, 2, 8, 14, 4, 5, 10, 10, 13, 2, 6, 2, 19 c) Benefited: Virginia; Disadvantage: Delaware 47. Answers will vary. One possible answer is A: 743, B: 367, C: 432, D: 491, E: 519, F: 388 SECTION 14.4, PAGE 951 1. Population 3. Alabama 5. Small 7. No. The new apportionment is 14, 11, 11, 12, 13. No clinic suffers a loss, so the Alabama paradox doesn’t occur. 9. a) 6, 8, 16 b) Yes. When the number of seats increases, states B and C gain a seat and state A loses a seat. 11. a) 61, 40, 99 b) No Number of Votes 3 1 2 2 1 First B D H H D Second D B B D H Third H H D B B 11. a) 30 b) 7 c) 12 13. a) Li b) No 15. 19 17. Guitar 19. Keyboard 21. 9 23. Denver 25. Three-way tie, no winner 27. Portland 29. No winner, a tie between Honolulu and Portland 31. Choi 33. Ross 35. Lehigh Road 37. Ontario Road 39. Bishara 41. Bishara 43. Good Times 45. Seinfeld 47. Petunias 49. Tie between Petunias and Zinnias 51. Apple 53. Hewlett-Packard 55. You must choose the voting method to use before the election takes place. 57. One way to settle a tie in an election is to bring in an additional voter. Other answers are possible. 59. Erie Road 61. Petunias 63. a) Tie between B and D b) B 65. a) 120 b) 40 c) No. Candidate A has more points than candidate B. 67. A, D SECTION 14.2, PAGE 922 1. Majority 3. Head-to-head 5. Borda count 7. Plurality with elimination 9. Detroit wins with the Borda count method, but Seattle has a majority of first-place votes. 11. a) Plan A is preferred b) No. C wins by the plurality method, but A is favored when compared to B and to C. 13. No. Lounge areas wins by the Borda count method, but parking is favored when compared to security and to lounge areas. 15. No. C wins by plurality with elimination, but B is favored over each of the other candidates using head-to-head comparisons. 17. No. A wins by the plurality method. If B drops out, C wins by the plurality method. 19. Yes. B wins by the Borda count method. If C drops out, B still wins. 21. No. C wins by plurality with elimination. If the voters change their preference, B wins by plurality with elimination. 23. Yes. D wins by pairwise comparison. If the voters change their preference, D still wins by pairwise comparison.
RkJQdWJsaXNoZXIy NjM5ODQ=