Chapter 17.3, Problem 35PS

To determine

a.

The standard divisor with given population for the $10$ representative seats.

$\begin{array}{|cc|}\hline \text{Precinct}& \text{Population}\\ \text{1st}\text{Precinct}& \text{135, 000}\\ \text{2nd}\text{Precinct}& \text{231, 000}\\ \text{3rd}\text{Precinct}& \text{118, 000}\\ \text{4th}\text{Precinct}& \text{316, 000}\\ \text{Total}& \text{800, 000}\\ \hline\end{array}$

To determine

b.

The standard quota for each precinct with given population for the $10$ representative seats.

$\begin{array}{|cc|}\hline \text{Precinct}& \text{Population}\\ \text{1st}\text{Precinct}& \text{135, 000}\\ \text{2nd}\text{Precinct}& \text{231, 000}\\ \text{3rd}\text{Precinct}& \text{118, 000}\\ \text{4th}\text{Precinct}& \text{316, 000}\\ \text{Total}& \text{800, 000}\\ \hline\end{array}$

To determine

c.

The total rounding the standard quotas down with given population for the $10$ representative seats.

$\begin{array}{|cc|}\hline \text{Precinct}& \text{Population}\\ \text{1st}\text{Precinct}& \text{135, 000}\\ \text{2nd}\text{Precinct}& \text{231, 000}\\ \text{3rd}\text{Precinct}& \text{118, 000}\\ \text{4th}\text{Precinct}& \text{316, 000}\\ \text{Total}& \text{800, 000}\\ \hline\end{array}$

To determine

d.

The modified divisor for the modified quotas to produce the $10$ representative seats with given population.

$\begin{array}{|cc|}\hline \text{Precinct}& \text{Population}\\ \text{1st}\text{Precinct}& \text{135, 000}\\ \text{2nd}\text{Precinct}& \text{231, 000}\\ \text{3rd}\text{Precinct}& \text{118, 000}\\ \text{4th}\text{Precinct}& \text{316, 000}\\ \text{Total}& \text{800, 000}\\ \hline\end{array}$