A company has started a phone service that uses overseas doc

A company has started a phone service that uses overseas doctors to provide emergency medical consultations. The responding doctors are based in a country with low wages but with a highly skilled pool of physicians. Responding to each call takes on average 15 minutes. At any given moment in time, there are 4 doctors overseas on duty. Calls arrive every 5 minutes on average and standard deviation of the inter-arrival time is 5 minutes. The company receives $50 from the patient

Solution

Total calls per hour=5/min

                              =60/5 hour=12

so doctors call each call in 15 min

         so totally 4*15=60min i,e 4 calls can answer per hour

        other 12-4=8 rerouted to the U.S. where a local physician answers.

  Q12. the percentage of calls being answered by a physician in the US:(8/12)*100

                                                                                                          =66.66

Q13.the company pay the physicians in the US over a 4 hour period

          per one hour=8*50=400$

          per four hours=4*400=1600$

Q14. the additional profit (in $) per hour if the company managed to have 10 doctors overseas on duty at any given time

        if company manage 10 doctors overseas on duty then thay 10 calls they attempt

            extra 6 calls so, additional profit is:6*30=180$