A political scientist has reserved birr 3200 a grant to fund a research project. Undergraduate students, graduate students and faculty members will be hired to conduct the interviews. Each undergraduate student will conduct 18 interviews and be paid birr 100. Each graduate student will conduct 25 interviews and be paid birr 150. Each faculty member will conduct 30 interviews and be paid birr 200. Due to transportation facilities, no more than 20 interviewers can be hired. Required:Formulate appropriate LPM for the above problem to determine the number of undergraduate, graduate and faculty members that must be hired to maximize profit?How many undergraduate students, graduate students and faculty members must be hired to maximize profit?What is the maximum number of interviews?