Chapter 17.4, Problem 23PS

To determine

Whether the New states paradox occurs when first apportion the $12$ number of seats to state $\text{A}$ and $\text{B}$ according to Hamilton’s plan then increase the number of seats by $2$, and apportion the total number of seats to three states according to Hamilton’s plan for the following apportionment:

$\begin{array}{|cccc|}\hline \text{State:}& \text{A}& \text{B}& \text{C}\\ \text{Population:}& 144,899& 59,096& 38,240\\ \hline\end{array}$