Suppose a small country admits a new territory, Northwest, to full provincial status wit...

Suppose a small country admits a new territory, Northwest, to full provincial status with “equal” representation in the legislature. Northwest is a rapidly growing frontier area with a population of 243,000. Because the country’s legislature of 314 seats is based roughly on one seat for each 10,000 people, a law is passed to increase the number of seats by 24, to a total of 338 seats, in order to accommodate the new province.

Use Webster’s method to apportion the 338 seats in the new legislature. Compare this apportionment to the one done for 314 seats in problem 24. Does the new-states paradox occur? Explain.

Problem 24:

Consider a small country with four provinces. The populations of the four provinces are provided in the table.

Using Webster’s method, the apportionments based on legislatures having 314, 315, and 316 seats are provided in the following table.

Does the Alabama paradox occur? If it does, which provinces benefit and which provinces lose under each apportionment?