Determine when the Hamilton method gives an Alabama paradox and who lost the representative.
Increase the committee size by one seat at a time, starting from an 8-member committee.
Given: City A, City B, and City C are cooperating to build a community center catering to the three cities. Seats on the 8-member committee are assigned according to the populations of the cities. The population of City A is 6204, City B is 4884, and City C is 2112.
(Hint: First apportion for 8 members then apportion for 9 members. If the Alabama paradox occurred, then determine who lost the representative. If the paradox did not occur, then apportion for 10 members. Compare the 9-member committee to the 10-member committee. If the Alabama paradox occurred, then determine who lost the representative. If the paradox did not occur, the apportion for 11 members and continue the process until the paradox occurs.)
Possible Anwsers:
Assignment of 11th seat; City C
Assignment of 10th seat; City C
Assignment of 12th seat; City C
Assignment of 10th seat; City A
Would the answer be, Assignment of 10th seat; City C?
Thanks!