CAN YOU ANSWER IT IN CLOSED FORM PLS ?

Q4) (30p) You are the director of Call 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 call center 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 $28 per hour. Part-time consultants can be hired to work any of the four shifts listed in the above table. Part-time consultants are paid $14 per hour. An additional requirement is that during every time period, there must be at least 2 full-time 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 should work each shift to meet the above requirements at the minimum possible cost. Formulate an integer programming model for this