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