A)

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 9 minutes Business 7 minutes Health 10 minutes Arts & Sciences 6 minutes Media 9 minutes Social Services 13 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 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 = (121)CONSTRAINTS IGNITE requires that Mclellan satisfies the following constraints. Type each constraint in the box below it. C1: Interview at least 21 students in Business. C2 : Interview no more than 44 Health students. Cs : Interview a maximum of 85 students in Technology and Business combined. (68) C4: Interview at most 285 students in total. (68) C's : Interview no less than three times as many Social Services students as Media students. (108) C6 : The number of Technology students interviewed should not be below that of Business students by more than 10. (108) The number of Arts & Sciences students interviewed should be no more than 20% of all students interviewed. (108) Cs : The total number of Social Services and Arts & Sciences students interviewed (combined) should be no fewer 35% of all students interviewed. (108) Og : Total interview time for Business and Social Services students combined should be no fewer 2.5 hours. (128) Clo : Total interview time for Media students should be at most 22% of the interview time for Health and Arts & Sciences students combined. (128)