You sent Today at 7:20 AM Problem: A social science professor has received a grant to fund a research project involving voting trends in the Philippines. The budget of the grant includes P32,000 for...

Problem: A social science professor has received a grant to fund a research project involving voting trends in the Philippines. The budget of the grant includes P32,000 for conducting a door-to-door interviews the day before the election. College students, graduate students and faculty members will be hired to conduct the interviews. Each college student will conduct 18 interviews and be paid P1,000. Each graduate student will conduct 30 interviews and be paid P1,500. Each faculty member will conduct 25 interviews and be paid P2,000. Due to limited transportation facilities, no more than 20 interviewers can be hired. How many undergraduate students, graduate students and faculty members should be hired in order to maximize the number of interviews that will be conducted. What is the maximum number of interviews? *(Let x be the number of college students to be hired, y the number of graduate students to be hired. z the number of faculty members to be hired and I the number of interviews) * (a) What is the objective function to the problem? (b) Excluding the non-negative constraint, how may constraints can be formulated for the problem? (c) What is the LP model that can be formulated from the problem?