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Demographics The table below shows the populations of five European countries. A committee of 20 people from these countries is to be formed using the Webster method of apportionment. a. Explain why 13.500,000 cannot be used as a modified standard divisor. b. Explain why 13.750.000 can be used as a modified standard divisor. c. Use the Webster apportionment method to determine the apportionment of the 20 committee members.

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Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

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Section
BuyFindarrow_forward

Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 4.1, Problem 28ES
Textbook Problem
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Demographics The table below shows the populations of five European countries. A committee of 20 people from these countries is to be formed using the Webster method of apportionment.

Chapter 4.1, Problem 28ES, Demographics The table below shows the populations of five European countries. A committee of 20

a. Explain why 13.500,000 cannot be used as a modified standard divisor.

b. Explain why 13.750.000 can be used as a modified standard divisor.

c. Use the Webster apportionment method to determine the apportionment of the 20 committee members.

To determine

(a)

Explain why 13200000 cannot be used as a modified standard divisor.

Explanation of Solution

Given Information:

Country Population
France   64,770,000
Germany  81,640,000
Italy  60,750,000
Spain  46,510,000
Belgium  10,420,000
Total  264,090,000

A committee of 20 people from these countries is to be formed using Webster method of apportionment.

Concept used:

Standard divisor =Pn

Calculation:

First we use 13200000 as a modified standard divisor.

Country PopulationState Quota Number of people
France   64,770,000  64,770,00013,200,0004.906  5
Germany  81,640,000  81,640,00013,200,0006
To determine

(b)

Explain why 13,300,000 can be used as a modified standard divisor.

To determine

(c)

Use the Webster apportionment method to determine tile apportionment of the 20 committee members.

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Chapter 4 Solutions

Mathematical Excursions (MindTap Course List)
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