Chapter 4, Problem 16E

Find the apportionment under Hamilton’s method of the faculty at Tasmania State University to the five schools described in Exercise 6.

6. Tasmania State University is made up of five different schools: Agriculture, Business, Education, Humanities, and Science (A, B, E, H, and S for short). The total number of students at TSU is 12,500. The faculty positions at TSU are apportioned to the various schools based on the schools' respective enrollments. $\text{Table}4-26$ shows each school's standard quota:

$Table4-26$

School	A	B	E	H	S
Standard quota	$32.92$	$15.24$	$41.62$	$21.32$	$138.90$

a. Find the number of faculty positions at TSU.

b. Find the standard divisor.

c. Find the number of students enrolled in each school.