Assignment 1: The Apportionment Problem

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 Representative. 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.

Subject | Mathematics |

Due By (Pacific Time) | 07/12/2013 01:00 pm |

Tutor | Rating |
---|---|

pallavi Chat Now! |
out of 1971 reviews More.. |

amosmm Chat Now! |
out of 766 reviews More.. |

PhyzKyd Chat Now! |
out of 1164 reviews More.. |

rajdeep77 Chat Now! |
out of 721 reviews More.. |

sctys Chat Now! |
out of 1600 reviews More.. |

sharadgreen Chat Now! |
out of 770 reviews More.. |

topnotcher Chat Now! |
out of 766 reviews More.. |

XXXIAO Chat Now! |
out of 680 reviews More.. |