Consider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using the Hamilton method. Campus B D Enrollment 824 1946 322 2738 Apportionment of 27 projectors 4 1 13 (a) If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if the Hamilton method is used? (No Response) (No Response) (No Response) (No Response) Campus A Campus B Campus C Campus D Did the Alabama paradox occur? O Yes O No

Consider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using the Hamilton method. Campus B D Enrollment 824 1946 322 2738 Apportionment of 27 projectors 4 1 13 (a) If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if the Hamilton method is used? (No Response) (No Response) (No Response) (No Response) Campus A Campus B Campus C Campus D Did the Alabama paradox occur? O Yes O No

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Description: Consider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using theHamilton method.CampusABDEnrollment82419463222738Apportionmen

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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…