Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - Chapter 13 Test: 22

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.
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