QUESTION $2$

A $8-$member ABC Alliance is being created to represent groups A with $5$ thousand, $B$ with $3$ thousand, and $C$ with $4$ thousand members. $($a$)$ Compute the missing Huntington$-$Hill numbers in the table below. Use $5,3,$ and $4$ for population. Round the answers to two decimal places.

$($b$)$ Use the table of Huntington$-$Hill numbers to apportion the $4$th through $8$th representatives.

$\backslash$table$[[n,$A$,$B$,$C$],[1,12\mathrm{.}50,4\mathrm{.}50,8\mathrm{.}00],[2,4\mathrm{.}17,,2\mathrm{.}67],[3,2\mathrm{.}08,0\mathrm{.}75,],[4,,0\mathrm{.}45,0\mathrm{.}80],[5,0\mathrm{.}83,0\mathrm{.}30,0\mathrm{.}53]]$

$n$ is the current number of representatives.

Which group should receive the $4$ th representative?

Which group should receive the $5$ th representative?

Which group should receive the $6$th representative?

Which group should receive the $7$ th representative?

Which group should receive the $8$ th representative?