Chapter 4, Problem 28E

Find the apportionment under Jefferson’s method of the faculty at Tasmania Sate University described in Exercise 6. (Hint: Look for suitable divisors in the interval 49.2 to 49.8.)

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. $\underset{\_}{\text{Table }4-26}$ shows each school's standard quota:

Table 4-26

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.