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.
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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