Answered: A company has 30,000 employees in three…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 63P

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Question

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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