please clearly define your sets, decision variables, objective

and constraints.

You are the director of the Computer Center for Ozyegin University. You now need to schedule the staffing of the center. It is open from 8 A.M. until midnight. You have monitored the usage of the center at various times of the day, and determined that the following number of computer consultants are required: Two types of computer consultants can be hired: full-time and part-time. The full-time consultants work for 8 consecutive hours in any of the following shifts: morning (8 A.M.4 P.M.), afternoon (noon-8 P.M.), and evening (4 P.M.-midnight). Full-time consultants are paid $14 per hour. Part-time consultants can be hired to work in any of the 4-hour time periods listed in the above table. Part-time consultants are paid $12 per hour. An additional requirement is that during every time period, there must be at least 2 fulltime consultants on duty for every part-time consultant on duty. You would like to determine how many full-time and how many part-time consultants to hire to meet the above requirements at the minimum possible cost. Formulate an integer programming model for this problem. Define your decision variables clearly