The house size is 100 . When the population of State \(A\) increases by 20 percent, State \(B\) increases by 10 percent, State \(C\) increases by 30 percent, and the populations of States \(D, E\), and \(F\) remain the same. The standard quotas change from A 12.50, B 25.00, C 9.38, D 18.75, E 12.50 and F 21.88 to A 13.91, B 25.51, C 11.30, D 17.39, E 11.59, and F 20.29 .

a. How did the change in populations impact the apportionment?

b. Is this apportionment an example of a paradox? Justify your answer.

Use the Hamilton method of apportionment to answer the question.