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During each 4-hour period, the Smalltown police forcerequires the following number of on-duty police officers: 12midnight to 4 A.M.—8; 4 to 8 A.M.—7; 8 A.M. to 12 noon—6; 12 noon to 4 P.M.—6; 4 to 8 P.M.—5; 8 P.M. to 12midnight—4. Each police officer works two consecutive 4-hour shifts. Formulate an LP that can be used to minimizethe number of police officers needed to meet Smalltown’sdaily requirements.

During each 4-hour period, the Smalltown police forcerequires the following number of on-duty police officers: 12midnight to 4 A.M.—8; 4 to 8 A.M.—7; 8 A.M. to 12 noon—6; 12 noon to 4 P.M.—6; 4 to 8 P.M.—5; 8 P.M. to 12midnight—4. Each police officer works two consecutive 4-hour shifts. Formulate an LP that can be used to minimizethe number of police officers needed to meet Smalltown’sdaily requirements.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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During each 4-hour period, the Smalltown police force
requires the following number of on-duty police officers: 12
midnight to 4 A.M.—8; 4 to 8 A.M.—7; 8 A.M. to 12 noon—
6; 12 noon to 4 P.M.—6; 4 to 8 P.M.—5; 8 P.M. to 12
midnight—4. Each police officer works two consecutive 4-hour shifts. Formulate an LP that can be used to minimize
the number of police officers needed to meet Smalltown’s
daily requirements.

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