#### Answer

Using Adams's method, each shift is apportioned the following number of nurses:
Shift A is apportioned 57 nurses.
Shift B is apportioned 81 nurses.
Shift C is apportioned 68 nurses.
Shift D is apportioned 44 nurses.

#### Work Step by Step

We can find the total number of patients.
total patients = 453 + 650 + 547 + 350
total patients = 2000
We can find the standard divisor.
$standard~divisor = \frac{total ~patients}{number~of~ nurses}$
$standard~divisor = \frac{2000}{250}$
$standard~divisor = 8$
We can find each shift's standard quota. The standard quota of each shift is the number of patients during the shift divided by the standard divisor.
Shift A:
$standard ~quota = \frac{patients}{standard~divisor}$
$standard~quota = \frac{453}{8}$
$standard~quota = 56.63$
Shift B:
$standard ~quota = \frac{patients}{standard~divisor}$
$standard~quota = \frac{650}{8}$
$standard~quota = 81.25$
Shift C:
$standard ~quota = \frac{patients}{standard~divisor}$
$standard~quota = \frac{547}{8}$
$standard~quota = 68.38$
Shift D:
$standard ~quota = \frac{patients}{standard~divisor}$
$standard~quota = \frac{350}{8}$
$standard~quota = 43.75$
If each shift is apportioned its upper quota, the number of nurses apportioned is 57 + 82 + 69 + 44 which is 252 nurses. Since there is a total of 250 nurses available, there are too many apportioned nurses. To obtain a sum of 250 nurses, we need to find a modified divisor that is slightly more than the standard divisor.
Let's choose a modified divisor of 8.05. Note that it may require a bit of trial-and-error to find a modified divisor that works. We can find the modified quota for each shift.
Shift A:
$ modified ~quota = \frac{patients}{modified~divisor}$
$ modified ~quota = \frac{453}{8.05}$
$ modified ~quota = 56.27$
Shift B:
$ modified ~quota = \frac{patients}{modified ~divisor}$
$modified ~quota = \frac{650}{8.05}$
$modified ~quota = 80.75$
Shift C:
$modified ~quota = \frac{patients}{modified ~divisor}$
$modified ~quota = \frac{547}{8.05}$
$modified ~quota = 67.95$
Shift D:
$modified ~quota = \frac{patients}{modified ~divisor}$
$modified ~quota = \frac{350}{8.05}$
$modified ~quota = 43.48$
Using Adams's method, each shift is apportioned the upper quota of the modified quota. Each shift is apportioned the following number of nurses:
Shift A is apportioned 57 nurses.
Shift B is apportioned 81 nurses.
Shift C is apportioned 68 nurses.
Shift D is apportioned 44 nurses.
Note that the total number of nurses apportioned is 250, so using a modified divisor of 8.05 is acceptable.