Instructions:

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: Faculty Interview time per student Technology 12 minutes Business 10 minutes Health 13 minutes Arts & Sciences 10 minutes Media 12 minutes Social Services 15 minutes Mclellan charges $2.00 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.Type each constraint in the box below it. C1: Interview no more than 49 students in Technology. (68) C2: Interview at most 48 Arts & Sciences students. (68) C3: Interview no less than 84 students in Media and Arts & Sciences combined. (68 ) C4: Interview at least 290 students in total. (68 ) Cs: Interview a minimum of twice as many Health students as Social Services students. (10% ) C6 : The number of Media students interviewed should not be below that of Arts & Sciences students by more than 11. (108 ) : The number of Business students interviewed should be at most 17% of all students interviewed. (108) C8 : The total number of Health and Business students interviewed (combined) should be minimum 23% of all students interviewed. (103 ) Co: Total interview time for Technology and Health students combined should be minimum 1.25 hours. (128 ) Clo : Total interview time for Social Services students should not be above 30% of the interview time for Arts & Sciences and Business students combined. (128)