The budget for a project on voting trends includes $2800 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 19 interviews for $100. Each graduate student will conduct 24 interviews for $150. Each faculty member will conduct 26 interviews for $200. No more than 15 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?