Question

Assume that 100 delegates must be apportioned to the following sets of states with the given...

Assume that 100 delegates must be apportioned to the following sets of states with the given populations. Determine the number of representatives for each state using​ Hamilton's method. Then assume that the number of delegates is increased to 101.

Determine the new number of representatives for each state using​ Hamilton's method. State whether the change in total delegates results in the Alabama paradox.

A: 704​; B: 153​; C:69​; D:614

Determine the number of representatives for each state using​ Hamilton's method if there are 100 delegates.

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Answer #1

In case of 100 seats,

State Population Quotient First Allocation of Seats Left Over Decimal Seats Apportioned
A 704 45.714 45 0.714 46
B 153 9.935 9 0.935 10
C 69 4.481 4 0.481 4
D 614 39.870 39 0.870 40

Where 704+153+69+614=1540 is total population and 1540/100=15.4

In case of 101 seats

State Population Quotient First Allocation of Seats Left Over Decimal Seats Apportioned
A 704 46.171 46 0.171 46
B 153 10.034 10 0.034 10
C 69 4.525 4 0.525 5
D 614 40.269 40 0.269 40

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