All state University Business School faculty members are classified as tenured or untenured. Each year, 10% of the untenured faculty is granted tenure and 10% leave Sate University; 95% of the tenured faculty remains and 5% leave. The business school wants to maintain a faculty with 100 members, of which x% are untenured.
Determine a hiring policy that will achieve this goal.
a) For what values of x does this goal require firing tenured faculty members?
b) Explain a hiring policy that maintains a faculty that is 10% untenured.
c) Explain a hiring policy that maintains a faculty that is 40 % untenured