Answer the following question?
ODD QUESTIONS ONLY
26. A large chain store needs to assign 12 buyers to its five stores. The number of employees for each store is shown. Determine how many buyers should be assigned to each store. Store 1 2 3 4 5 Total Employees 56 32 74 62 86 310 27. A freight company has four terminals. The volume of business in truckloads for each terminal is shown. The owner has purchased 12 new trucks to be allocated to the four terminals. Determine how many trucks each terminal should get based on volume of business. Terminal A B C D Total Volume (in truck loads) 51 37 65 22 175 28. A large library has six branches; the number of books at each branch is shown. The library has obtained 100 new books. Determine how many books each library should get based on their current volume of books. Branch A B C D E F Total Books 1,236 872 2,035 1,655 3,271 1,053 10,122 For Exercises 29-31, find: (a) The standard divisor. (b) The standard quota for each district. (c) The upper and lower quotas for each district. (d) Assign seats using Webster's method. (e) Write the modified divisor you used. 29. An automotive repair company has four stores in a large city. The owner bought 10 diagnostic computers for the business. The number of cars serviced per store each month is given below. Determine how many computers each store should get based on number of cars serviced. Store 2 3 4 Total Cars serviced 119 99 186 136 540 30. A hospital has five wards; the average number of patients per ward is shown. Twelve new nurses are hired. Determine how many nurses each ward should receive based on average number of patients. Ward A B C D E Total Patients 372 465 558 619 197 2,211 31. Sixteen new police officers are to be assigned to four precincts. The populations of the precincts are shown. Determine how many of the 16 new officers each precinct should receive. Precinct 2 3 Total19. 8 and 9 20. 3 and 4 21. 16 and 24 22. 19 and 30 Applications in Our World For Exercises 23-25 find: (a) The standard divisor. (b) The standard quota for each district. (c) The upper and lower quotas for each district. (d) Assignment of seats using Hamilton's method. 23. This year 10 faculty members are to receive promotions at a community college with three campuses. The number of promotions will be apportioned according to the number of full-time faculty members as shown. Determine how many promotions there will be on each of the campuses. page 782 Campus South Central North Total Faculty 62 148 110 320 24. A large school district has four high schools with enrollments as shown. Forty school buses need to be allocated to the high schools. Determine how many buses are allocated to each of the high schools. School RRHS CCHS HHHS MHS Total Enrollment 628 941 1,324 872 3,765 25. A county has three districts; the population of each district in thousands is shown. Nine representatives are to be appointed to the county board. Determine how many representatives each district should receive. District 2 3 Total Population (in thousands) 242 153 185 580 For Exercises 26-28 find: (a) The standard divisor. (b) The standard quota for each district. (c) The upper and lower quotas for each district. (d) Assign seats using Jefferson's method and Adams' method. (e) Write the modified divisor you used for each method.Precinct 1 2 3 4 Total Population 3,562 8,471 2,146 5,307 19,486 For Exercises 32-34, find: (a) The standard divisor. (b) The standard quota for each district. (c) The upper and lower quotas for each district. (d) Assign seats using the Huntington-Hill method. (e) Write the modified divisor you used. 32. A county has three clinics; the weekly number of patients seen by a nurse practitioner in each clinic is shown. The director hires eight new nurse practitioners; assign them to the three clinics based on number of patients seen. Clinic A B C Total Patients 456 616 573 1,645 33. A chain of physical therapy clinics has four offices; the average number of patients treated per month at each office is shown. Six new therapists are hired and apportioned to the offices according to number of patients seen. How many therapists should each office receive? Office 1 2 3 4 Total Patients 2,231 996 1,564 1,799 6,590In Exercises 9-12, find the standard divisor for each district. 9 District 1 2 3 Population 41 19 86 ; 5 seats 10. District A B C Population 112 89 241 ; 12 seats 11. District A B C D Population 109 94 53 122 ; 20 seats 12 District 2 3 4 Population 30 19 11 12 ; 8 seats In Exercises 13-16, find the standard quota, the upper quota, and the lower quota for each district from the given exercise. 13. Exercise 9 14. Exercise 10 15. Exercise 11 16. Exercise 12 In Exercises 17-22, find the geometric mean for the pair of numbers. 17. 2 and 8 18. 5 and 20
