A university has 2 input variables, professors and staff. When it recently hired a new professor, the number of students increased by 3 per day. Then it added a new staff, and the number of students per day increased by 2. Professors cost $300,000 per year, and the cost of a staff member comes to $100,000 per year.
a) Was the University wise to add another staff member?
b) Why or why not?