Chapter 15.3, Problem 21E

The standard quotas rounded up to the nearest integer can automatically sum to the number of seats to be apportioned. In that case, the Adams modified divisor md equals d, the standard divisor, and the apportionment is done. Otherwise, the modified divisor needed for an Adams method apportionment is found by slowly increasing the value of the standard divisor.

(a) Use the Adams method to apportion the 40 volunteer nurses to the five hospitals in Mexico. See Exercise 11. The standard divisor, computed in Exercise 11(a), was $d=43.025$. Use $md=46$.

(b) How does the Adams apportionment compare to the other four methods applied in Exercise 11?