Problem 8: The chief of police, Karen Stanley, of the Make-Believe Police Department needs to assign five detective squads to five pending criminal cases. Karen wants to come up with an optimum assignment that will minimize the total time it takes to conclude the cases. Data on past performance of each detective squad to complete each case assigned in terms of average number of days is presented in the following table. Average Completion Time (in Days) Detective Squad Case-1 Case-2 Case-3 Case-4 Case-5 A 15 8 4 8 28 B 21 8 13 7 32 C D 11 4 5 6. 20 9. 12 8 13 20 E 14 24 25 27 Use the assignment method to solve the problem If Squad D cannot be assigned to Case-5 as a result of a conflict of interest, solve the problem given this new constraint.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Problem 8:
The chief of police, Karen Stanley, of the Make-Believe
Police Department needs to assign five detective squads
to five pending criminal cases. Karen wants to come
up with an optimum assignment that will minimize the
total time it takes to conclude the cases. Data on past
performance of each detective squad to complete each
case assigned in terms of average number of days is
presented in the following table.
Average Completion Time (in Days)
Detective Squad
Case-1
Case-2
Case-3
Case-4
Case-5
A
15
8
4
8.
28
21
8
13
7
32
C
11
4
5
6.
20
D
12
8.
13
20
E
14
24
25
27
9
Use the assignment method to solve the problem
If Squad D cannot be assigned to Case-5 as a result of
a conflict of interest, solve the problem given this new
constraint.
Transcribed Image Text:Problem 8: The chief of police, Karen Stanley, of the Make-Believe Police Department needs to assign five detective squads to five pending criminal cases. Karen wants to come up with an optimum assignment that will minimize the total time it takes to conclude the cases. Data on past performance of each detective squad to complete each case assigned in terms of average number of days is presented in the following table. Average Completion Time (in Days) Detective Squad Case-1 Case-2 Case-3 Case-4 Case-5 A 15 8 4 8. 28 21 8 13 7 32 C 11 4 5 6. 20 D 12 8. 13 20 E 14 24 25 27 9 Use the assignment method to solve the problem If Squad D cannot be assigned to Case-5 as a result of a conflict of interest, solve the problem given this new constraint.
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