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 COVID-19 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: McLellan charges $3.00 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,S 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 = (128) CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints. Type each constraint in the box below it. C1 : Interview at most 45 students in Arts \& Sciences. (6%) C3 : Interview a minimum of 93 students in Technology and Arts \& Sciences combined. 6%) C4: Interview no more than 305 students in total. C5. Interview at least three times as many Social Services students as Health students. C6 : The number of Technology students interviewed should not exceed that of Arts \& Sciences students by more than 8. C7 : The number of Media students interviewed should not be above 27% of all students interviewed. C8. The total number of Social Services and Media students interviewed (combined) should be minimum 31% of all students interviewed. 10% C9 : Total interview time for Arts \& Sciences and Social Services students combined should be minimum 2.75 hours. 12%) C10 : Total interview time for Health students should be at most 27% of the interview time for Business and Media 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