A Problem in Queuing Theory
A company gets an average of five calls an hour from prospective clients. It takes a company representative an average of twenty minutes to handle one call (the distribution of time to handle one call is exponential). A prospective client who cannot immediately talk to a representative never calls again. For each prospective client that talks to a representative the company makes one thousand dollars. How many representatives should the company maintain if each is paid ten dollars an hour?
Thanks for your help.