**Apportionment Activity (2018)**

Prepared by:

Joseph Malkevitch

Mathematics Department

York College (CUNY)

Jamaica, NY 11451

email:

__malkevitch@york.cuny.edu__

web page:

__http://york.cuny.edu__

1. Suppose we have three "states" A, B, and C with populations 50, 80, and 70 to which we want to assign a non-negative integer number of seats in a "parliament" (legislature) which has size h (for house size) where h equals 11 seats. How many seats should be given to each state?

2. Abstract the method which you used to answer the question above and apply the same method had there been 12 seats to assign to the states (h=12).

3. What fairness rules do you think a method for assigning seats to states in a situation such as this should obey?

4. Can you think of other methods other than the one you used that could be used to solve problems of this kind?

5. Can you think of other problems similar to assigning states seats in a legislature based on their populations that the method you used to solve the legislative apportionment problem above might be applied to?