Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - Chapter Summary, Review, and Test - Review Exercises: 34

Answer

Using Jefferson's method, each clinic is apportioned the following number of doctors: Clinic A is apportioned 5 doctors. Clinic B is apportioned 8 doctors. Clinic C is apportioned 12 doctors. Clinic D is apportioned 15 doctors.

Work Step by Step

Let's use a modified divisor of $d = 48$ to find the modified quota for each clinic. Clinic A: $modified~quota = \frac{patient~load}{modified~divisor}$ $modified~quota = \frac{275}{48}$ $modified~quota = 5.73$ Clinic B: $modified~quota = \frac{patient~load}{modified~divisor}$ $modified~quota = \frac{392}{48}$ $modified~quota = 8.17$ Clinic C: $modified~quota = \frac{patient~load}{modified~divisor}$ $modified~quota = \frac{611}{48}$ $modified~quota = 12.73$ Clinic D: $modified~quota = \frac{patient~load}{modified~divisor}$ $modified~quota = \frac{724}{48}$ $modified~quota = 15.08$ Using Jefferson's method, the modified quota is rounded down to the nearest whole number. Each clinic is apportioned the following number of doctors: Clinic A is apportioned 5 doctors. Clinic B is apportioned 8 doctors. Clinic C is apportioned 12 doctors. Clinic D is apportioned 15 doctors. Note that the total number of doctors apportioned is 40, so using a modified divisor of 48 is acceptable.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.