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	11 minutes
Business	10 minutes
Health	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 T, B, H, A, M, S represent the number of students interviewed in Technology, Business, Health, Arts & Sciences, Media, and Social Services respectively.

CONSTRAINTS IGNITE requires that McLellan satisfies the following constraints.

1.The number of Business students interviewed should not be above 21% of all students interviewed.

2.The total number of Social Services and Business students interviewed (combined) should be at least 26% of all students interviewed.

3.Total interview time for Media and Social Services students combined should be at least 3 hours.

4. Total interview time for Health students should not be above 30% of the interview time for Technology and Business students combined.