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2 (14) The local police department has the following daily requirements schedule for officers on patrol:
Period
1
2
Time of Day Officers Required
0000-0400 20
0400 - 0800 70
0800 - 1200 80
1200 - 1600 120
1600 - 2000 90
2000 - 0000 30
Each officer works eight consecutive hours and can BEGIN work at the start of any one of the six four-hour
periods. The department would like to find a schedule that meets the requirements with the smallest possible
number of officers. Formulate a Linear Program that will find the optimum size force and determine a
corresponding work-force schedule. Assume no shift differential for wages. Use ONE, TWO, THREE, FOUR
FIVE, and SLX as variable names to designate the number of officers STARTING on any given shift.
OBJECTIVE FUNCTION
(2) ne tpołu t STREE to FOUR TA VE PSX
SUBJECT TO (CONSTRAINTS)
(2) One t six 420
(2) One t Two sto
(2) Two t Threeso
6
(2) Threet tours 120
(2) Fourt tive=90
(2) Livet six €30
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