You are a doctor thinking about setting up a private practice. You learned in school and during your internship that you can comfortably "see patients" at an average rate of 1 every 15 minutes (i.e., 4 per hr). To pay off your student loans and cover your overhead you need only to see on average 3 patients per hour. Assuming that patients show up at that rate (i.e., at 3 per hour on average), how many (on average) will be waiting in your waiting room during office hours? How long will they (on average) have to wait to be seen? What is the probability that a patient shows up and is seen immediately (no wait)? And, how would the average number waiting in your waiting room change if you more aggressively scheduled patients to arrive (on average) at 3.5 per hour? If your waiting room has seating for 6 people, how often would you expect that someone would have to wait without a chair if you adopt the more aggressive rate? As long as that doesn't happen too often (say, no more than 5% of the time) you can avoid moving into a larger office space (that will certainly cost more). Should you have to move with the more aggressive scheduling rate? Average number waiting in waiting room=___________________________________ Average wait time to be seen=___________________________________ Probability (new patient seen immediately )=___________________________________ Change in Average Number waiting if you schedule 3.5 patients per hour=___________________________________ How often will someone have no seat in the waiting room if you up the rate at which you see patients? __________________________________________ Will you need to move your office? __________________________________________

(answer all parts)