M3_Assignment 1: LASA 2: The Apportionment Problem
Argosy University
General Education Mathematics | MAT109 A05
November 8, 2014

Abstract
This essay determine how 100 congressional seats should be divided among the 10 states of the union. The number of seats in a state should (in any fair distribution) be proportional to its ratio in the population. Therefore rounding according to some (acceptable) rule should be applied.

Below you will see the table showing the Hamilton method of apportionment to determine the number of seats each state would receive.

Hamilton Method (Named for Alexander Hamilton) Implementing this method is a three-step procedure.
1) Calculate each state's representation and round each one down.
2) Calculate the number of seats to be assigned.
3) Assign the seats to those with the largest fractional parts.
Using the numbers I calculated from applying the Hamilton method, I determine the average constituency for each state by the state with the largest critical divisor and that state was allocated the remaining seats.

Absolute Unfairness of an Apportionment
The absolute unfairness of an apportionment is the absolute value of the difference between the smallest and largest average constituency state A and the average constituency of state B.
This concept is also used when deciding which investments are most productive or detrimental. As you can see below the breakdown of the unfairness of an Apportionment.
Population/representative=consistency
(Average consistence of state a – average consistence of state B) = unfairness of apportionment
State A 369/1 = 369
State B 25467/4 = 6367
6367-369 = 5998
The unfairness of apportionment breaks down to 5998.
Changes in state boundaries or populations could affect the balance of representation in the congress because when population increases it effects the