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: 32

Answer

Clinic A's lower quota is 5. Clinic A's upper quota is 6. Clinic B's lower quota is 7. Clinic B's upper quota is 8. Clinic C's lower quota is 12. Clinic C's upper quota is 13. Clinic D's lower quota is 14. Clinic D's upper quota is 15.

Work Step by Step

We can find the total patient load. total load = 275 + 392 + 611 + 724 = 2002 We can find the standard divisor. $standard~divisor = \frac{total~load}{number~of~ doctors}$ $standard~divisor = \frac{2002}{40}$ $standard~divisor = 50.05$ The standard divisor is 50.05 We can find the standard quota for each clinic. After we find the standard quota for each clinic, we can find each clinic's lower quota and upper quota. The lower quota is the standard quota rounded down to the nearest whole number. The upper quota is the standard quota rounded up to the nearest whole number. Clinic A: $standard~quota = \frac{patient~load}{standard~divisor}$ $standard~quota = \frac{275}{50.05}$ $standard~quota = 5.49$ lower quota = 5 upper quota = 6 Clinic B: $standard~quota = \frac{patient~load}{standard~divisor}$ $standard~quota = \frac{392}{50.05}$ $standard~quota = 7.83$ lower quota = 7 upper quota = 8 Clinic C: $standard~quota = \frac{patient~load}{standard~divisor}$ $standard~quota = \frac{611}{50.05}$ $standard~quota = 12.21$ lower quota = 12 upper quota = 13 Clinic D: $standard~quota = \frac{patient~load}{standard~divisor}$ $standard~quota = \frac{724}{50.05}$ $standard~quota = 14.47$ lower quota = 14 upper quota = 15
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