hi experts,please help with the following management question

Question 2 (25 Marks) Vaal University of technology produces two types of students below average and above average students per semester. Four resources are crucial to the output of the students thisincludes: library study hours, laboratory hours, tutorial hours and self- study hours per semester. The following table shows resource available for the students at VUT. Resources Product Below average Above average Resource availability per semester Library study 2 hr 1hr 480 Laboratory 6 hr 1800 Tutorial 2 hr 4 hr 5 hr 1500 Self-Study 3hr 2 hr 1200 The amount of money that the VUT receives from the department of education per semesterfor below average students is 10000 rands and for above average students 14000 rands. Determine: a) Specify the objective function and constraints for this problem b) Use graphical method of linear programing to show the feasible region and to maximize the profits for Vaal University of Technology c) How many below average students and above average student should VUT produce? d) Identify the slack or surplus variables o