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 9140 6070 14,790 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 14,890 30,150   ​a) Complete the table with​ Hamilton's apportionment for the original number of employees.   Cities A B C Total Original Number of Employees 9140 6070 14,790 30,000 ​Hamilton's Apportionment ? ? ? 200

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
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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
C
Total
 
Original Number of Employees
9140
6070
14,790
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
14,890
30,150
 
​a) Complete the table with​ Hamilton's apportionment for the original number of employees.
 
Cities
A
B
C
Total
Original Number of Employees
9140
6070
14,790
30,000
​Hamilton's Apportionment
? ? ?
200
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