Chapter 4, Problem 22E

The Republic of Galatia is divided into four provinces:

Anline, Brock, Clanwin, and Drundell. Galatia uses Jefferson’s method to apportion the 50 seats in its House of Representatives among the four. Table 4-32 shows the populations of the four provinces (in millions) after the most recent census.

Table 4-32

Province	Anline	Brock	Clanwin	Drundell
Population(in millions)	5.9	7.8	6.1	6.9

a. Find the standard divisor and the standard quotas for each province.

b. Determine how many seats would be apportioned if each province was given its lower quota.

c. Determine how many seats would be apportioned if the divisor is $\text{d}=500,000$ is used to compute the modified quotas and then all of them are rounded down.

d. Determine how many seats would be apportioned if the divisor is $\text{d}=530,000$ is used to compute the modified quotas and then all of them are rounded down.

e. Determine how many seats would be apportioned if the divisor is $\text{d}=520,000$ is used to compute the modified quotas and then all of them are rounded down.

f. Determine how many seats would be apportioned if the divisor is $\text{d}=510,000$ is used to compute the modified quotas and then all of them are rounded down.

g. Without doing any additional computations, find three divisors that would work under Jefferson’s method.