The SFU Wellness Center is an organization providing help to distressed students

on campus during the two weeks exam period at the end of every semester. You've been

hired as a business consultant to help the Center develop a hiring policy so that it can

provide the most meaningful student service (S) possible. You've determined that service

can be described as a function of Medical (M) and Counseling (C) staff input as follows:

S = M + 0.5C + 0.5MC - C²

The staff budget for the SFU Wellness Center for the coming semester is $1,200.00. Each

member of the medical staff costs $60 and each member of the counseling staff costs $30.

(a)Determine the optimal combination of medical and counseling staff for the SFU

Wellness Center.

(b)Solve for and interpret the Lagrangian multiplier.

(c)If the Center were required to break even, what fee per service would you recommend

that they charge?