MATH 109 ASSIGNMENT 1 THE APPORTIONMENT PROBLEM-ARGOSY

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## MATH 109 ASSIGNMENT 1 THE APPORTIONMENT PROBLEM-ARGOSY

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MATH 109 ASSIGNMENT 1 THE APPORTIONMENT

PROBLEM-ARGOSY

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MATH 109 Assignment 1 The Apportionment Problem-Argosy

MATH109

MATH 109 Assignment 1 The Apportionment Problem-Argosy

You are a census officer in a newly democratic nation and you have been charged with using the census

data from the table below to determine how 100 congressional seats should be divided among the 10

states of the union.

State

1

2

3

4

5

6

7

8

9

10

Population

15475

35644

98756

88346

369

85663

43427

84311

54730

25467

Being a fan of United States history, you are familiar with the many methods of apportionment applied to

this problem to achieve fair representation in the US House of Representatives. You decide that

apportionment (chapter 11, sections 1-4 in your textbook) is the best approach to solving this problem,

but need to compare several methods and then determine which is actually fair.

Using the Hamilton method of apportionment, determine the number of seats each state should receive.

Using the numbers you just calculated from applying the Hamilton method, determine the average

constituency for each state. Explain your decision making process for allocating the remaining seats.

Calculate the absolute and relative unfairness of this apportionment.

Explain how changes in state boundaries or populations could affect the balance of representation in this

congress. Provide an example using the results above.

How and why could an Alabama Paradox occur?

Explain how applying the Huntington-Hill apportionment method helps to avoid an Alabama Paradox.

Based upon your experience in solving this problem, do you feel apportionment is the best way to achieve