Chapter 6.2, Problem 12E

In J.R.R. Tolkien's Middle Earth, the regions in and around the Misty Mountains are inhabited by elves, dwarves, and Ents (tree shepherds). Elves reside in Rivendell and Lothlorien, dwarves dwell in Moria, and Ents roam the forests of Fangorn. Suppose that these inhabitants decide to form a federation to foster mutual protection, historical preservation, and cultural exchange. If the federation is to have twenty-one seats, use Hamilton's Method and the (estimated) population data given in Figure 6.89 to apportion the seats.

Region	Rivendell	Lothlorien	Moria	Fangorn
Population(estimated)	$5,424$	$4,967$	$6,821$	$587$

Figure 6.89 Table for Exercise 12.