Consider a call center which serves its customers with two operators. Customers call at a Poisson rate of 40 customers per hour. Each operator can give service at an exponential rate of 50 customers per hour and charges $12 per hour.

a) What is the utilization of this call center? (2 points)

b) What is the average number of customers connected (waiting and speaking) to the call center? (3 points)

c) Manager is evaluating three other candidates (to replace the current ones) and each of these three candidates can give service at an exponential rate of 40 customers per hour and charges $C per hour. Manager believes, on the average, each customers time in the system is worth $4 per hour. Find C if the average cost per hour incurred by the call center will be the same regardless of the employee hiring decision. (10 points)