Chapter 4, Problem 33E

Find the apportionment under Adams’s method of the Inter-Fraternia Congress described in Exercise 9. (Hint: Express the modified divisors in terms of percents of the total population and look for suitable divisors in the interval 0.5% to 0.51%.)

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