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?.