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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 officers 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.

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 officers 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
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
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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 officers 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.
Transcribed Image Text: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 officers 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.
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