During each four-hour period, the Smalltown police force requires the following number of on-duty police officers: four from midnight to 4 A.M.; four from 4 A.M. to 8 A.M.; seven from 8 A.M. to noon; seven from noon to 4 P.M.; eight from 4 P.M. to 8 P.M.; and ten from 8 P.M. to midnight. Each police officer works two consecutive four-hour shifts.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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46. During each four-hour period, the Smalltown police
force requires the following number of on-duty police
officers: four from midnight to 4 A.M.; four from 4 A.M.
to 8 A.M.; seven from 8 A.M. to noon; seven from noon
to 4 P.M.; eight from 4 P.M. to 8 P.M.; and ten from
8 P.M. to midnight. Each police officer works two
consecutive four-hour shifts.
a. Determine how to minimize the number of police of-
ficers needed to meet Smalltown's daily requirements.
b. Use SolverTable to see how the number of police
officers changes as the number of officers needed
from 8 A.M. to noon varies from 4 to 10.
Show Transcribed Text
A
1 Police force scheduling
3
5 Number starting
6
Number available
7 each 4-hour period
8
9 Number required
10
11 Total employed
C
c
B
C
D
E
F
G
M-4A
Starting 4 hours of 8-hour shift
4A-8A
N-4P
8A-N
Show Transcribed Text
4P-8P
8P-M
Please use the same format in Excel and answer using
Solver and SolverTable. Thank you!
Transcribed Image Text:46. During each four-hour period, the Smalltown police force requires the following number of on-duty police officers: four from midnight to 4 A.M.; four from 4 A.M. to 8 A.M.; seven from 8 A.M. to noon; seven from noon to 4 P.M.; eight from 4 P.M. to 8 P.M.; and ten from 8 P.M. to midnight. Each police officer works two consecutive four-hour shifts. a. Determine how to minimize the number of police of- ficers needed to meet Smalltown's daily requirements. b. Use SolverTable to see how the number of police officers changes as the number of officers needed from 8 A.M. to noon varies from 4 to 10. Show Transcribed Text A 1 Police force scheduling 3 5 Number starting 6 Number available 7 each 4-hour period 8 9 Number required 10 11 Total employed C c B C D E F G M-4A Starting 4 hours of 8-hour shift 4A-8A N-4P 8A-N Show Transcribed Text 4P-8P 8P-M Please use the same format in Excel and answer using Solver and SolverTable. Thank you!
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