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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
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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.
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