Homework Help is Here – Start Your Trial Now!
Math
Statistics
K A certain county consists of three towns: Town A, Town B, and Town C. Each year the social workers employed by the county are apportioned using Hamilton's method, among the three towns based on the number of cases in each town over the previous calendar year. When the total number of social workers employed by the county is M-33, the apportionments of the social workers are 8 for Town A, 11 for Town B, and 14 for Town C. When M-34, the apportionments of the social workers are 7 for Town A, 12 for Town B, and 15 for Town C. Which peradox explains the changes in apportionments?

K A certain county consists of three towns: Town A, Town B, and Town C. Each year the social workers employed by the county are apportioned using Hamilton's method, among the three towns based on the number of cases in each town over the previous calendar year. When the total number of social workers employed by the county is M-33, the apportionments of the social workers are 8 for Town A, 11 for Town B, and 14 for Town C. When M-34, the apportionments of the social workers are 7 for Town A, 12 for Town B, and 15 for Town C. Which peradox explains the changes in apportionments?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
A certain county consists of three towns: Town A, Town B, and Town C. Each year the social workers employed by the county are apportioned using Hamilton's method, among the three towns based K on the number of cases in each town over the previous calendar year. When the total number of social workers employed by the county is M-33, the apportionments of the social workers are 8 for Town A, 11 for Town B, and 14 for Town C. When M-34, the apportionments of the social workers are 7 for Town A, 12 for Town B, and 15 for Town C. Which peradox explains the changes in apportionments? Choose the corect answer below OA The Alabama paradox explains the changes because the apportionment to Town A decreased for no other reason than the fact that the county hired an additional social worker OB Balinski and Young's impossibility theorem explains the changes because the apportionment to Town A decreased for no other reason than the fact that a perfect apportionment method is a mathematical impossibility OC. The population paradox explains the changes because the apportionment to Town A decreased even though the population of town A grew at a higher rate than the population of town C OD. The new-states paradox explains the changes because the apportionment to Town A decreased due to the addition of another town with its fair share of social workers.
Transcribed Image Text:A certain county consists of three towns: Town A, Town B, and Town C. Each year the social workers employed by the county are apportioned using Hamilton's method, among the three towns based K on the number of cases in each town over the previous calendar year. When the total number of social workers employed by the county is M-33, the apportionments of the social workers are 8 for Town A, 11 for Town B, and 14 for Town C. When M-34, the apportionments of the social workers are 7 for Town A, 12 for Town B, and 15 for Town C. Which peradox explains the changes in apportionments? Choose the corect answer below OA The Alabama paradox explains the changes because the apportionment to Town A decreased for no other reason than the fact that the county hired an additional social worker OB Balinski and Young's impossibility theorem explains the changes because the apportionment to Town A decreased for no other reason than the fact that a perfect apportionment method is a mathematical impossibility OC. The population paradox explains the changes because the apportionment to Town A decreased even though the population of town A grew at a higher rate than the population of town C OD. The new-states paradox explains the changes because the apportionment to Town A decreased due to the addition of another town with its fair share of social workers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS