The budget for a project on voting trends includes $3200 for hiring

The budget for a project on voting trends includes $3200 for hiring undergraduate​ students, graduate​ students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 30 interviews for​ $100. Each graduate student will conduct 32 interviews for​ $150. Each faculty member will conduct 33 interviews for​ $200. No more than 20 interviewers can be hired. How many of each type of interviewer should be hired in order to maximize the number of​ interviews? What is the maximum number of​ interviews? 

A)___undergraduate​ students, __ graduate​ students, and___ faculty members should be hired to maximize the number of interviews