The budget for a project on voting trends includes $3000 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 26 interviews for $100. Each graduate student will conduct 28 interviews for $150. Each faculty member will conduct 29 interviews for $200. No more than 16 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?