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Mathematics, 16.10.2020 19:01 hannahbaak

Hi can someone please help me with this problem Larry Edison is the Director of the Computer Center for Buckly College. He now needs
to schedule the staffing of the center. It is open from 8 AM until midnight. Larry has monitored the usage of the center at various times of the day and determined that the following numbers of computer consultants are required:

Time of Day Consultants Required
Minimum Number of to be on Duty
8 AM -noon 4
Noon – 4 PM 8
4 PM – 8 PM 10
8 PM - Midnight 6
Two types of computer consultants can be hired: full-time and part-time. The full-time
consultants work for eight consecutive hours in either one of the following two shifts: morning
(8 AM – 4 PM), and evening (4 PM – Midnight). Full-time consultants are paid $14.00 per hour
Part-time consultants can be hired to work any of the four shifts listed in the table. Part-timeconsultants are paid $12.00 per hour.
An additional requirement is that during every time period, there must be at least two
full-time consultants on duty for every part-time consultant on duty.

Larry would like to determine how many full-time and part-time consultants should work
each shift to meet the above requirements at the minimum possible cost.

Summarize the model in algebraic form by defining the decision variables, the objective
function and all the constraints.

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