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. Table 4 − 26 shows each school's standard quota: T a b l e 4 - 2 6 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.
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. Table 4 − 26 shows each school's standard quota: T a b l e 4 - 2 6 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.
Solution Summary: The author explains how to apply Hamilton's method to the apportionment of faculty positions at Tasmania State University.
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.
Table
4
−
26
shows each school's standard quota:
T
a
b
l
e
4
-
2
6
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.
A university is comprised of five schools: A, B, C, D, and E. The enrollment in each school is given in the following table.
School
Enrollment
A
В
C
D
E
1180
1280
2130
2910
2760
There are 300 new computers to be apportioned among the five schools according to their respective enrollments. Use Hamilton's method to find each school's
apportionment of computers.
.....
Complete the table below.
School
Enrollment
Hamilton's
apportionment
(Simplify your answers.)
A
B
E
1180
1280
2130
2910
2760
2. The acreage of five county parks in Hillsborough County is shown in
the table below. Suppose the county wishes to distribute 75 new park
rangers among these five parks.
Lake Park
E. G. Simmons
Lettuce Lake
Lithia Springs
Eureka Springs
600
470
240
160
30
a. Find the modified quota for each park using the divisor 20.5
b. Find the number of rangers that should be allocated to each park
using Adam's method.
A small country is made up of three separate islands: Eno, with a population of 100,300, Owt, with a
population of 9,405, and Eerht with a population of 90,295. The country has a senate with 200 members
whose seats are apportioned proportional to the population of each island.
a. Use Hamilton's method to apportion the 200 seats.
b. The senate decides to add another seat so that they have an odd number of senators. Use
Hamilton's method to apportion the 201 seats.
c. Compare your results from parts (a) and (b). This is an example of which paradox?
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