Chapter 4.1, Problem 35ES

To determine

(a)

To find::

The fraction for the average constituency of state $A$ when this receives a new representative.

To determine

(b)

To find::

The average constituency of state $B$ without a new representative.

To determine

(c)

To find::

The relative unfairness of apportionment by given state $A$ which is the new representative in terms of the fractions from parts $a$ and $b$.

To determine

(d)

To find::

The relative unfairness of apportionment by giving state $B$ the new representative.

To determine

(e)

To find::

The inequality in terms of the expressions in parts $c$ and $d$.

To determine

(f)

To find::

The inequality of the Huntington-Hill number.