Question

kira manages the personnel for a healthcare organization that recently hired 60 new nurses to its staff. kira needs to allocate these nurses to four clinics according to the average weekly number of patients treated at each clinic. the average weekly numbers of patients for the clinics are shown in the table below. use adams method to allocate the nurses to the clinics.

you may use the apportionment tool to help you. to do this, turn on the apportionment tool, enter a divisor, and click on \compute\. you will then see the quota, the lower quota, the rounded quota (to the nearest whole number), and the upper quota for each clinic. you may also click on active cells to fill in the bottom row.

\

$$\begin{tabular}{|c|c|c|c|c|c|} \\hline clinic & brandford & alton & torreso & memorial & total \\\\ \\hline average weekly number of patients & 102 & 216 & 195 & 357 & 870 \\\\ \\hline number of nurses & & & & & 0 \\\\ \\hline \\end{tabular}$$

Explanation:

Calculate the standard divisor

$$ \text{Total Patients} = 870 $$

$$ \text{Total Nurses} = 60 $$

$$ d = \frac{870}{60} = 14.5 $$

Find a modified divisor for Adams' method

Using Adams' method, we round all quotas up (ceiling function). We need the sum of the rounded-up quotas to equal exactly 60.
Let's test modified divisors \(d'\) larger than \(14.5\):
Try \(d' = 14.8\):

$$
LATEXBLOCK0
$$

Try \(d' = 15.0\):

$$
LATEXBLOCK1
$$

Try \(d' = 14.9\):

$$
LATEXBLOCK2
$$

Final allocation values

$$
LATEXBLOCK3
$$

Answer:

Clinic	Brandford	Alton	Torreso	Memorial	Total
Number of nurses	7	15	14	24	60