Answer Happy

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 Technology Business Health Arts & Sciences Media Social Services 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, AM, S represent the number of students interviewed in Technology. Business, Health, Arts & Sciences, Media, and Social Services respectively. Minimize Cost OBJECTIVE FUNCTION Type your objective function in the following box C₂ CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints. Type each constraint in the box below it. Interview time per student 12 minutes 10 minutes 14 minutes 11 minutes 12 minutes 17 minutes C C Of C: interview at most 285 students in total. C₂ C: interview no more than 82 students in Social Services and Business combined (6x) C₂ Interview no less than 34 students in Business Cu Interview a minimum of 40 Media students C: interview at least three times as many Health students as Technology students. (10%) (6%) (ES) The number of Social Services students interviewed should not be below that i of Business students by more than 8 (30%) The number of Arts & Soences students interviewed should not be above 27% of at students interviewed The total number of Health and Arts & Sciences students intenewed combined should be minimum 14% of all students interviewed (12%) (1) Total interview time for Business and Health students combined should be (428) Total interview time for Technology students should be at most 29% of the Lon