## Related questions with answers

The following exercises describe apportionment problems for situations besides the House of Representatives. Do the following: a. Find the apportionment by Hamilton's method. b. Find the apportionment by Jefferson's method. c. Find the apportionment by Webster's method. d. Find the apportionment by the Hill-Huntington method. e. Compare the results of the various methods. A city plans to purchase 16 new emergency vehicles. They are to be apportioned among 485 members of the police department, 213 members of the fire department, and 306 members of the paramedic squad.

Solution

Verified$\textbf{a.)}$ We want to determine the allocation of the vehicles to $3$ groups using the Hamilton's method.

First, we determine the standard divisor that would be used to determine the standard quota for the $3$ groups.

$\begin{aligned} \text{Standard Divisor}&=\dfrac{\text{Total population}}{\text{No. of vehicles}}\\ &=\dfrac{485+213+306}{16}\\ &=\dfrac{1004}{16}\\ &=62.75 \end{aligned}$

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