Chapter 4, Problem 20E

Plainville Hospital has three wings ( $A$, $B$, and $C$). The nurses in the hospital are assigned to the three wings based on the number of beds in each wing, shown in $\underset{\_}{\text{Table }4-30}$.

Table 4-30

Wing	A	B	C
Number of beds	$154$	$66$	$30$

a. Suppose there are $20$ nurses working at the hospital. Use Hamilton’s method to apportion the nurses to the wings based on $\underset{\_}{\text{Table }4-30}$.

b. Suppose an additional nurse is hired at the hospital, bringing the total number of nurses to $21$. Use Hamilton’s method to apportion the nurses to the wings based on $\underset{\_}{\text{Table }4-30}$.

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