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 m- m m McLellan charges $3.00 per minute for interviews. lGNlTE'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 = 36T + 303 + 42H + 30A + 33M + 483 ~/ (1296) CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints. Type each constraint in the box below it. 01: Interview a maximum of 48 students in Health. A48 syntax error: this is not an ineoualitv. (69a) Interview no less than 27 Technology students. (696) Interview at least 89 students in Business and Health combined. (6%) Interview a minimum of 295 students in total. Interview no more than twice as many Arts 8: Sciences students as Social Services students. (10%) The number of Business students interviewed should not be below that of Health students by more than 6. (10%) The number of Media students interviewed should be no more than 20% of all students interviewed. The total number of Arts & Sciences and Media students interviewed (combined) should be at least 26% of all students interviewed. Total interview time for Health and Arts 8: Sciences students combined should be at least 1.75 hours. Total interview time for Social Services students should be at most 20% of the interview time for Technology and Media students combined