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 CDVID-'IQ 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: Faculty Interview time per student Technology 12 minutes Business 10 minutes Health 13 minutes Arts at Sciences 9 minutes Media 12 minutes Social Services 16 minutes McLeIIan charges $4.00 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, 5' represent the number of students interviewed in Technology, Business, Health, Arts & Sciences, Media, and Social Services respectively. OBJECTIVE FUNCTION Type your objective function in the following box: Minimize Cost: (12%) CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints. Type each constraint in the box below it. Q: Interview no less than 32 students in Technology. (72: Interview at most 48 Media students. Interview no more than 88 students in Social Services and Media combined. (6%) nterview at least 310 students in total. (69:) nterview a maximum of three times as many Health students as Business students. (16%) The number of Social Services students interviewed should not exceed that of Media students by more than 12. (19%) The number of Arts 8: Sciences students interviewed should be at most 21% of all students interviewed. (16%) The total number of Health and Arts & Sciences students interviewed (combined) should be no less than 25% of all students interviewed. (16%) Total interview time for Technology and Health students combined should be no less than 1.25 hours. (12%) Total interview time for Business students should not be above 22% of the interview time for Media and Arts & Sciences students combined. (12%) 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