14.3 Apportionment Methods 943 19. a) Determine the standard divisor. 27 b) Determine each hotel’s standard quota. 11.33, 7.93, 5.74 20. Determine each hotel’s apportionment using Hamilton’s method. 11, 8, 6 21. a) Determine each hotel’s modified quota using the divisor 25.8. 11.86, 8.29, 6.01 b) Determine each hotel’s apportionment using Jefferson’s method. 11, 8, 6 22. a) Determine each hotel’s modified quota using the divisor 25.7. 11.91, 8.33, 6.03 b) Determine each hotel’s apportionment using Jefferson’s method. 11, 8, 6 23. a) Determine each hotel’s modified quota using the divisor 29. 10.55, 7.38, 5.34 b) Determine each hotel’s apportionment using Adams’ method. 11, 8, 6 24. a) Determine each hotel’s modified quota using the divisor 28. 10.93, 7.64, 5.54 b) Determine each hotel’s apportionment using Adams’ method. 11, 8, 6 25. Determine each hotel’s apportionment using Webster’s method using the standard divisor. 11, 8, 6 26. a) Determine each hotel’s modified quota using the divisor 28.1. 10.89, 7.62, 5.52 b) Determine each hotel’s apportionment using Webster’s method. 11, 8, 6 New Associates In Exercises 27–30, a large law firm plans to apportion 50 new associate lawyers among four offices based on the number of clients served in each office as shown below. Office A B C D Total Number of clients served 86 102 130 232 550 27. a) Determine the standard divisor. 11 b) Determine each office’s standard quota. 7.82, 9.27, 11.82, 21.09 c) Determine each office’s apportionment using Hamilton’s method. 8, 9, 12, 21 28. Determine each office’s apportionment using Jefferson’s method. (Hint: Some divisors between 10 and 11 will work.) 8, 9, 12, 21 29. Determine each office’s apportionment using Adams’ method. (Hint: Some divisors between 11 and 12 will work.) 8, 9, 12, 21 30. Determine each office’s apportionment using Webster’s method. (Hint: Some divisors between 10.5 and 11.5 will work.) 8, 9, 12, 21 3-D Printers In Exercises 31–34, a university is made up of five colleges: Arts and Sciences, Engineering, Business, Education, and Visual and Performing Arts. There are 250 3-D printers to be apportioned among the five colleges based on their enrollment shown in the table below. The total enrollment is 13,000. School Arts and Science Business Engineering Education Visual and Performing Arts Enrollment 1746 7095 2131 937 1091 31. a) Determine the standard divisor. 52 b) Determine each college’s standard quota. 33.58, 136.44, 40.98, 18.02, 20.98 c) Determine each college’s apportionment using Hamilton’s method. 34, 136, 41, 18, 21 32. Determine each college’s apportionment using Adams’ method. (Hint: Some divisors between 52 and 53 will work.) 34, 136, 41, 18, 21 33. Determine each college’s apportionment using Jefferson’s method. (Hint: Some divisors between 51 and 52 will work.) 33, 137, 41, 18, 21 34. Determine each college’s apportionment using Webster’s method. 34, 136, 41, 18, 21 New Boats In Exercises 35–38, a boat manufacturer has 120 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on the number of boats each dealership sold in the previous year. The number of boats sold by each dealership is shown in the table below. Dealership A B C D Total Sales 3840 2886 2392 1682 10,800 35. a) Determine the standard divisor. 90 b) Determine each dealership’s standard quota. 42.67, 32.07, 26.58, 18.69 c) Determine each dealership’s apportionment using Hamilton’s method. 43, 32, 26, 19 EpicStockMedia/Shutterstock
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