Chapter 4, Problem 19E

Happy Rivers County consists of three towns: Dunes, Smithville, and Johnstown. Each year the social workers employed by the county are apportioned among the three towns based on the number of cases in each town over the previous calendar year. The number of cases in each town in $2016$ is shown in $\underset{\_}{\text{Table }4-29}$.

Table 4-29

Town	Dunes	Smithville	Johnstown
Number of cases	$41$	$106$	$253$

a. Suppose there are $24$ social workers employed by the county. Use of Hamilton’s method to apportion the social workers to the towns based on the caseloads shown in $\underset{\_}{\text{Table }4-29}$.

b. Suppose there are $25$ social workers employed by the county. Use Hamilton’s method to apportion the social workers to the towns based on the caseloads shown in $\underset{\_}{\text{Table }4-29}$.

c. Compare your answers in (a) and (b). What is strange about the two apportionments?