A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below. A B C D E 1126 1091 Total 5400 726 1531 926 Division Original Population a) Apportion the printers using Hamilton's method. b) Suppose that 1 year later the divisions have the following populations. If the college wishes to apportion 54 printers, does the population paradox occur using Hamilton's method? B C E D Total 1532 926 1126 1144 5454 Division Population 1 Year Later A 726 a) Use Hamilton's method to apportion the 54 3-D printers using the original population. (Type whole numbers.) Division Original Population Hamilton's Apportionment A 726 B C D 1531 926 1126 E 1091 Total 5400 54

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below.
A
726
B
1531 926
D E
1126 1091
Total
5400
Division
Original Population
a) Apportion the printers using Hamilton's method.
b) Suppose that 1 year later the divisions have the following populations. If the college wishes to apportion 54 printers, does the population paradox occur using Hamilton's method?
A
726
Total
5454
Division
Population 1 Year Later
B
C
D
1532 926 1126 1144
a) Use Hamilton's method to apportion the 54 3-D printers using the original population.
(Type whole numbers.)
Division
Original Population
Hamilton's Apportionment
A
B
D
726 1531 926 1126
E Total
1091 5400
54
mail
Transcribed Image Text:A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below. A 726 B 1531 926 D E 1126 1091 Total 5400 Division Original Population a) Apportion the printers using Hamilton's method. b) Suppose that 1 year later the divisions have the following populations. If the college wishes to apportion 54 printers, does the population paradox occur using Hamilton's method? A 726 Total 5454 Division Population 1 Year Later B C D 1532 926 1126 1144 a) Use Hamilton's method to apportion the 54 3-D printers using the original population. (Type whole numbers.) Division Original Population Hamilton's Apportionment A B D 726 1531 926 1126 E Total 1091 5400 54 mail
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