944 CHAPTER 14 Voting and Apportionment 36. Determine each dealership’s apportionment using Jefferson’s method. (Hint: Some divisors between 88.5 and 89 will work.) 43, 32, 27, 18 37. Determine each dealership’s apportionment using Webster’s method. (Hint: Some divisors between 90 and 91 will work.) 43, 32, 26, 19 38. Determine each dealership’s apportionment using Adams’ method. (Hint: Some divisors between 91 and 92 will work.) 42, 32, 27, 19 New Buses In Exercises 39– 42, the Transit Department of Milwaukee has 100 new buses to be apportioned among six routes. The department decides to apportion the buses based on the average number of daily passengers per route, as shown in the table below. Route ABCDEFTotal Passengers 9070 15,275 12,810 5720 25,250 6875 75,000 39. a) Determine the standard divisor. 750 b) Determine each route’s standard quota. 12.09, 20.37, 17.08, 7.63, 33.67, 9.17 c) Determine each route’s apportionment using Hamilton’s method. 12, 20, 17, 8, 34, 9 40. Determine each route’s apportionment using Jefferson’s method. 12, 21, 17, 7, 34, 9 41. Determine each route’s apportionment using Adams’ method. 12, 20, 17, 8, 34, 9 42. Determine each route’s apportionment using Webster’s method. 12, 20, 17, 8, 34, 9 43. Nursing Shifts Froedtert Hospital has 200 nurses to be apportioned among four shifts: shifts A B C , , ,and D. The hospital decides to apportion the nurses based on the average number of room calls reported during each shift. Room calls are shown in the following table. Shift A B C D Total Room calls 751 980 503 166 2400 a) Determine the standard divisor. 12 b) Determine each shift’s standard quota. 62.58, 81.67, 41.92, 13.83 c) Determine each shift’s apportionment using Hamilton’s method. 62, 82, 42, 14 d) Determine each shift’s apportionment using Adams’ method. (Note: Divisors do not have to be whole numbers.) 63, 81, 42, 14 e) Determine each shift’s apportionment using Jefferson’s method. (Note: Divisors do not have to be whole numbers.) 63, 82, 42, 13 f) Determine each shift’s apportionment using Webster’s method. (Hint: Some divisors between 12 and 12.05 will work.) 62, 82, 42, 14 44. Umbrellas Sandy Shores Resorts operates four beach resorts on the island of Maui, Hawaii. They plan to apportion 50 new beach umbrellas among the four resorts based on the number of rooms in each resort as shown in the table below. Resort A B C D Total Number of rooms 98 114 143 245 600 a) Determine the standard divisor. 12 b) Determine each resort’s standard quota. 8.17, 9.50, 11.92, 20.42 c) Determine each resort’s apportionment using Hamilton’s method. 8, 10, 12, 20 d) Determine each resort’s apportionment using Jefferson’s method. (Hint: Some divisors between 11 and 12 will work.) 8, 9, 12, 21 e) Determine each resort’s apportionment using Adams’ method. (Hint: Some divisors between 12 and 13 will work.) 8, 10, 12, 20 f) Determine each resort’s apportionment using Webster’s method. (Hint: Some divisors between 11.5 and 12.5 will work.) 8, 10, 12, 20 Challenge Problems/Group Activities 45. The First Census In 1790, the first United States census was taken. The following table shows the population of the 15 states at that time. One hundred five seats in the United States House of Representatives were to be apportioned among the 15 states. State Population Connecticut 236,841 Delaware 55,540 Georgia 70,835 Kentucky 68,705 Maryland 278,514 Massachusetts 475,327 New Hampshire 141,822 New Jersey 179,570 New York 331,589 North Carolina 353,523 Pennsylvania 432,879 Rhode Island 68,446 South Carolina 206,236 Vermont 85,533 Virginia 630,560 Total 3,615,920 a) Determine the apportionment that would have resulted if Hamilton’s method had been used as the method originally approved by Congress. 7, 2, 2, 2, 8, 14, 4, 5, 10, 10, 13, 2, 6, 2, 18
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