Linear programming

The Monroe County Sheriff’s Department schedules police officers for 8-hour shifts.  The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m.  An officer beginning a shift at one of these times works for the next eight hours.  During normal weekday operations, the number of officers needed varies depending on the time of the day.  The department staffing guidelines require the following minimum number of officers on duty:

Time of Day                           Minimum Officers on Duty

Don't use plagiarized sources. Get Your Custom Essay on
Linear programming
Just from $13/Page
Order Essay

8:00 a.m. – noon                                          5

Noon – 4:00 p.m.                                         6

4:00 p.m. – 8:00 p.m.                                 10

8:00 p.m. – midnight                                   7

Midnight – 4:00 a.m.                                   4

4:00 a.m. – 8:00 a.m.                                   6

 

How many police officers should be scheduled to begin the 8-hour shifts at each of the six times in order to minimize the total number of officers required?  Structure this linear programming problem (decision variables, objective function, and constraints).  You do not need to solve this problem, just structure it.

Place Order
Grab A 14% Discount on This Paper
Pages (550 words)
Approximate price: -
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Try it now!

Grab A 14% Discount on This Paper

Total price:
$0.00

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.