Using the provided template, show the steps to get the solution. 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.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
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Using the provided template, show the steps to get the solution.

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. 

X ✓
A
1 Police force scheduling
2
3
4
5 Number starting
6
Number available
7 each 4-hour period
8
9 Number required
10
11 Total employed
12
13
LO
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
30*
34
35
36
37
38
Ready
P4-46
B
fx
M-4A
P4-48
*
JUN
21
C
D
E
Starting 4 hours of 8-hour shift
8A-N
N-4P
P4-50 part B
4A-8A
P4-50
F
4P-8P
P4-50 part C
G
8P-M
P4-50 part D
Transcribed Image Text:X ✓ A 1 Police force scheduling 2 3 4 5 Number starting 6 Number available 7 each 4-hour period 8 9 Number required 10 11 Total employed 12 13 LO 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30* 34 35 36 37 38 Ready P4-46 B fx M-4A P4-48 * JUN 21 C D E Starting 4 hours of 8-hour shift 8A-N N-4P P4-50 part B 4A-8A P4-50 F 4P-8P P4-50 part C G 8P-M P4-50 part D
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,