2. Angelina Aniston is the Director of the Computer Center for the Pitt College. She now needs to schedule the staffing of the center. It is open from 8 am until midnight. Angelina has monitored the usage at the center at various times of the day and determined that the following numbers of computer consultants are required:

Time of Day Minimum Number of Consultants Required

to be on Duty

8 AM - Noon 6

Noon 4 PM 8

4 PM 8 PM 12

8 PM Midnight 6

Two types of computer consultants can be hired: full-time and part-time. The full time consultants work for eight hours in any of the following shifts: morning (8 AM- 4 PM) afternoon (Noon 8 PM) and evening (4 PM Midnight). Full-time consultants are paid $14 per hour.

Part-time consultants can be hired to work any of the four shifts listed in the table. Part-time consultants are paid $12 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.

Angelina 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.