A country has two states, state A with a population of 37,044, and state B with a population of 354,956. The congress has 100 seats, divided between the two states according to the respective populations. a) Use Hamilton's method to apportion the congressional seats to the states. State Population A B 37,044 354,956 Number of Congressional Seats (Type an integer in each box.) b) Suppose that a third state, state C, with a population of 40,768, is added to the country. The country adds 10 new congressional seats for state C. Use Hamilton's method to determine if the new-states paradox occurs when the seats are reapportioned. Yes; State A loses a seat to State B. Yes; State B loses a seat to State A. Yes; State B loses a seat to State C. No; the new-states paradox does not occur.
A country has two states, state A with a population of 37,044, and state B with a population of 354,956. The congress has 100 seats, divided between the two states according to the respective populations. a) Use Hamilton's method to apportion the congressional seats to the states. State Population A B 37,044 354,956 Number of Congressional Seats (Type an integer in each box.) b) Suppose that a third state, state C, with a population of 40,768, is added to the country. The country adds 10 new congressional seats for state C. Use Hamilton's method to determine if the new-states paradox occurs when the seats are reapportioned. Yes; State A loses a seat to State B. Yes; State B loses a seat to State A. Yes; State B loses a seat to State C. No; the new-states paradox does not occur.
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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Transcribed Image Text:A country has two states, state A with a population of 37,044, and state B with a population of 354,956. The congress has 100 seats, divided between the two states according to the respective
populations.
a) Use Hamilton's method to apportion the congressional seats to the states.
State
A
Population
B
37,044 354,956
Number of Congressional
Seats
☐
...
(Type an integer in each box.)
b) Suppose that a third state, state C, with a population of 40,768, is added to the country. The country adds 10 new congressional seats for state C. Use Hamilton's method to determine if
the new-states paradox occurs when the seats are reapportioned.
Yes; State A loses a seat to State B.
Yes; State B loses a seat to State A.
Yes; State B loses a seat to State C.
No; the new-states paradox does not occur.
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