Chapter 4, Problem 17E

Find the apportionment under Hamilton’s method of the Inter-Fraternia Congress described in Exercise 9.

9. The Interplanetary Federation of Fraternia consists of six planets: Alpha Kappa, Beta Theta, Chi Omega, Delta Gamma, Epsilon Tau, and Phi Sigma $\left(A,B,C,D,E,\text{and}F\text{for}\text{short}\right)$. The federation is governed by the Inter-Fraternia Congress, consisting of $200$ seats apportioned among the planets according to their populations. $\text{Table}4-27$ gives the planet populations as percentages of the total population of Fraternia:

Table $4-27$

Planet	A	B	C	D	E	F
Population Percentage	$11.37$	$8.07$	$38.62$	$14.98$	$10.42$	$16.54$

a. Find the standard divisor (expressed as percent of the total population).

b. Find the standard quota for each planet.