The University of California considers the faculty/student ratio a principal determinant of quality. Requests made by the University for new faculty positions are based on the student/faculty ratios proposed by the University in its 5-year program for each campus. Given the forecasts of student enrollments, these proposed ratios determine the required increase in faculty positions. What the ideal ratio is depends on the Regent's policy guidelines and these may change over the years. The difference between the University's request for new positions and the number approved by the state poses a difficult problem for the administration, and this paper addresses itself to that problem. It formulates and solves a mathematical model used to calculate lower and upper bounds on the number of new faculty positions allocated, over a finite planning horizon, to a multicampus educational institution. In this model the student/faculty ratios must meet certain growth rate restrictions imposed by the faculty and the administration. The initial student/faculty ratios, forecasts of student enrollments, and certain critical ratios are assumed known and given. (AF)