Answer
Using Webster's method, each clinic is apportioned the following number of doctors:
Clinic A is apportioned 2 doctors.
Clinic B is apportioned 3 doctors.
Clinic C is apportioned 5 doctors.
Work Step by Step
Let's use a modified divisor of $d = 47.7$ to find the modified quota for each clinic.
Clinic A:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{119}{47.7}$
$modified~quota = 2.49$
Clinic B:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{165}{47.7}$
$modified~quota = 3.46$
Clinic C:
$modified~quota = \frac{patient~load}{modified~divisor}$
$modified~quota = \frac{216}{47.7}$
$modified~quota = 4.53$
Using Webster's method, the modified quota is rounded to the nearest whole number. Each clinic is apportioned the following number of doctors:
Clinic A is apportioned 2 doctors.
Clinic B is apportioned 3 doctors.
Clinic C is apportioned 5 doctors.
Note that the total number of doctors apportioned is 10, so using a modified divisor of 47.7 is acceptable.
