Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - 13.3 Apportionment Method - Exercise Set 13.3 - Page 875: 12

Answer

Using Adams's method, the shares are apportioned to each person as follows: Person A is apportioned 19 shares. Person B is apportioned 2 shares. Person C is apportioned 3 shares. Person D is apportioned 36 shares.

Work Step by Step

Using the modified divisor of $d = 108$, we can find the modified quota for each person. Person A: $modified~quota = \frac{contribution}{modified~divisor}$ $modified~quota = \frac{2013}{108}$ $modified~quota = 18.64$ Person B: $modified~quota = \frac{contribution}{modified~divisor}$ $modified~quota = \frac{187}{108}$ $modified~quota = 1.73$ Person C: $modified~quota = \frac{contribution}{modified~divisor}$ $modified~quota = \frac{290}{108}$ $modified~quota = 2.69$ Person D: $modified~quota = \frac{contribution}{modified~divisor}$ $modified~quota = \frac{3862}{108}$ $modified~quota = 35.76$ Using Adams's method, we apportion the shares by rounding the modified quota up to the nearest whole number. The shares are apportioned to each person as follows: Person A is apportioned 19 shares. Person B is apportioned 2 shares. Person C is apportioned 3 shares. Person D is apportioned 36 shares. Note that the sum of the apportioned shares is 60.
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.