college math problem

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Rguna888

Mathematics

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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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