A company has employees in country A and country B. The number of employees in each group is shown in the tablebelow. There are 47 managers to be apportioned between the two groups.CountryEmployeesA851CountryEmployees3849a) Apportion the managers using Hamilton's method.b) Suppose that additional employees in country C, with the number of employees shown in the table below, areadded with 7 new managers. Does the new-states paradox occur using Hamilton's method?AB851 3849Total4700A851C732a) Complete the table with Hamilton's apportionment of the 47 managers to countries A and B.CountryTotal4700EmployeesHamilton's47apportionmentTotal5432B3849

Algorithm:Find the standard divisor. Divide each state’s population by the divisor to get the…

Answered: A company has employees in country A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's Method. The table below lists the population for each state and the final apportionment. Apportionment State A B C D State A Population 8000 10000 B C D 4625 7625 New census data came in this year and the 70 seats need to be reapportioned using Hamilton's Method. The table below shows the new populations for each state. New Population 8088 10670 4537 7938 A's final apportionment: B's final apportionment: C's final apportionment: 18 23 11 18 D's final apportionment: Have any paradoxes occurred? If so, which ones? Explain your answer. Population Paradox Alabama Paradox New States Paradox None of the above
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State A B C Total Population 162 250 488 900 a) Complete the table with the apportionment of the seats using Hamilton's method. State A B C Total Population 162 250 488 900 Hamilton's apportionment ? ? ? 30
A company has 30,000 employees in three cities as shown in the table below. It wishes to give promotions to 200 employees. Cities A B C Total Original Number of Employees 9150 6070 14,780 30,000 a) Apportion the promotions using Hamilton's method. b) Suppose that in 10 years the cities have the following number of employees and the company wishes to again give promotions to 200 employees. Does the population paradox occur using Hamilton's method? Cities A B C Total Number of Employees 10 years later 9190 6070 14,915 30,175 a) Complete the table with Hamilton's apportionment for the original number of employees. Cities A B C Total Original Number of Employees 9150 6070 14,780 30,000 Hamilton's Apportionment enter your response here enter your response here enter your response here 200
A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 Does the population paradox occur using Hamilton's method of apportionment? Select one: a. Yes b. No
Consider a fictitious country Makria with four states Urbinulla, Konta, Cyclos, and Pantou. The population of each state is given in the table below. If the new constitution of country Makria calls for 28 representatives to be chosen from the four states, what is the STANDARD DIVISOR? Makria Country State Роpulation Urbinulla 12,521 Konta 3, 879 Cyklos 8, 764 Pantou 4, 836 A 1071.43 В 1692.58 2102.46 984.67
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A company has 30,000 employees in three cities as shown in the table below. It wishes to give promotions to 200 employees. Cities A B Total C Original Number of Employees 9170 6030 a) Apportion the promotions using Hamilton's method. b) Suppose that in 10 years the cities have the following number of employees and the company wishes to again give promotions to 200 employees. Does the population paradox occur using Hamilton's method? Cities Number of Employees 10 years later A 9190 C 14,800 30,000 A 9170 B C Total D 6030 14,955 30,175 *** a) Complete the table with Hamilton's apportionment for the original number of employees. Cities B C Total 30,000 6030 14.800 Original Number of Employees Hamilton's Apportionment 200
A large company with offices in four cities must distribute 146 new color printers to the four cities. The printers will be apportioned based on the number of employees in each office as shown in the table. Office A B с D Total U 2,628 Employees 758 295 635 940 a) Apportion the printers using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of new printers in increased from 146 to 147? Explain your answer. a) Use Hamilton's method to first apportion the 146 color printers. Office A B C D Total Employees 758 295 635 940 2,628 Number of printers [ 146 (Type whole numbers.) b) Use Hamilton's method again to apportion the 147 color printers. Office A B C D Total Employees 758 295 635 940 2,628 Number of printers ■ 147 (Type whole numbers.) Does the Alabama paradox occur using Hamilton's method if the number of printers is increased from 146 to 147? Since suffers a loss, the Alabama paradox occur.
A country with three states has 30 seats in the legislature. The population of each state is shown in the table below. a) Apportion the seats using Hamilton's method. b) Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 30 to 31? State Population B 251 A Total 162 487 900 ..... a) Complete the table with the apportionment of the seats using Hamilton's method. State Population Hamilton's apportionment A 162 В Total 251 487 900 30
The population of departments in a particular company are given in the table below. Last year, the Hamilton Method was used to apportion 28 IT technicians to support all of the departments. This year, a new IT technician will be hired. Using the Huntington-Hill method, which department should get the new hire? Department Population IT Technicians 5 7 A BCDEF 37 50 18 49 39 20 2 6 5 3 a) А b) В C d) D

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