Chapter 4, Problem 12E

Find the apportionment under Hamilton’s method of the Wadiya Congress described in Exercise 2.

2. The Republic of Wadiya is a small country consisting of four provinces:

A $\left(\text{population }4,360,000\right)$, B $\left(\text{population }2,280,000\right)$, C $\left(\text{population }729,000\right)$ and D $\left(\text{population }2,631,000\right)$. Suppose that there are $\text{M}=200$ seats in the Wadiya Congress, to be apportioned among the four provinces based on their respective populations.

a. Find the standard divisor.

b. Find each province’s standard quota.