Calls requiring information technology (IT) support arrive at the help desk of this hospital every 3 minutes (exponential distribution). The time it takes to troubleshoot the problem over the phone is exponentially distributed with a mean of 6 minutes. IT support staff is paid an average of $35 per hour. The lost time for the care provider making the phone call to have the issue fixed is valued at $100 per hour.

Perform a cost analysis to determine the optimal number of servers that should be working at the help desk.