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: Interview time Faculty per student Technology 11 minutes Business 10 minutes 11 ESH 13 minutes Arts & Sciences 10 minutes Media 11 minutes Social Services 17 minutes 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 7, 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 = (12%) CONSTRAINTS IGNITE requires that Mclellan satisfies the following constraints. Type each constraint in the box below it. C1: Interview no more than 32 students in Media. (6% ) Ca: Interview at most 23 Technology students. (6%) C): Interview at least 93 students in Arts & Sciences and Technology combined. (6X) C4: Interview a maximum of 280 students in total. (6%) Interview no less than twice as many Social Services students as Health students. (10x) The number of Arts & Sciences students interviewed should not be below that Co: of Technology students by more than 8. (10x)