IGNITE, a student life group at a prominent college. is considering hiring McLellan Consulting to conduct a survey geared towards evaluating the effects of mandatory remote learning on students during the wave of the COVlD19 pandemic. The survey will be carried out by telephone interview. Due to the uniqueness of programs offered by the different faculties at the college. McLellan's survey design requires allocating different amounts of time per student interviewed in different faculties. The amount interview time required per student in each faculty is given in the following table: Interview time Faculty per student Technology 9 minutes Business 7 minutes Health 10 minutes Arts 8:: Sciences 8 minutes Media 9 minutes Social Services 12 minutes McLellan charges $3.50 per minute for interviews. IGNITE's objective is to minimize interview costs (in dollars} and you have been tasked with formulating a linear programming model for the student body. DECISION VARIABLES Let T. B, H. A, M, S represent the number of students interviewed in Technology, Business, Health, Arts 8: Sciences, Media, and Social Services respectively. OBJECTIVE FUNCTION Type your objective function in the following box: Minimize ICost = (12%) CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints. Type each constraint in the box below it. 01 : Interview at least 40 students in Business. (5%) 02: Interview a maximum of 47 Health students. (6%) 03: Interview no less than 95 students in Technology and Health combined. [ I (5%) 04: Interview at most 320 students in total. I I was: Interview no more than twice as many Arts 81 Sciences students as Media students. l (19%) The number of Technology students interviewed should not exceed that of Health students by more than 9. (19%) The number of Social Services students interviewed should be at most 22% of all students interviewed. (13%) The total number of Arts 81 Sciences and Social Services students interviewed (combined) should be no less than 23% of all students interviewed. (19%) Total interview time for Business and Arts 81 Sciences students combined should be no less than 2.25 hours. (12%) The total number of Arts 81 Sciences and Social Services students interviewed (combined) should be no less than 23% of all students interviewed. (19%) Total interview time for Business and Arts 8.! Sciences students combined should be no less than 2.25 hours. (12%) C _ Total interview time for Media students should not be above 26% of the 10 ' interview time for Health and Social Services students combined. (12%) Cg: Since the project is still in deliberation stage, the constraints still need to be checked for internal consistency and revised if necessary. Therefore, a solution is not required at this point