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
|
Population
|
|
1
|
15475
|
|
2
|
35644
|
|
3
|
98756
|
|
4
|
88346
|
|
5
|
369
|
|
6
|
85663
|
|
7
|
43427
|
|
8
|
84311
|
|
9
|
54730
|
|
10
|
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 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 fair
representation? Be sure to support your answer.
Suggest another strategy that could be applied
to achieve fair representation either using apportionment methods or a method
of your choosing
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