In order to manage the large numbers of stray animals in its cities, a state budgets mon...

In order to manage the large numbers of stray animals in its cities, a state budgets money to hire 100 animal-control officers. The officers will be apportioned to the cities according to their populations, which are shown in the following table.

a. Apportion the officers according to Hamilton’s method.

b. If City E, with a population of 49,440, wants to be included, how many new officers should be hired, based on the standard divisor in part (a)?

c. Reapportion the officers to the five cities using Hamilton’s method and the new, larger number of animal-control officers determined in part (b).

d. Compare the apportionments from parts (a) and (c). Explain what happened, and state which paradox occurred, if any.