The local hospital’s emergency department has 5 trauma bays. On average, patients requiring atrauma bay arrive every 30 minutes (with a coefficient of variation of 1). If the hospital has an available trauma bay, it is immediately allocated to a needy patient. If there are no trauma bays available, the patient is sent to another hospital. On average, a patient’s length of stay in a trauma bay is one hour (with a standard deviation of 1.5 hours). The hospital’s emergency department operates 24 hours a day.

1. What percentage of the patients requiring trauma bays end up being sent to another hospital? (Write your answer in %, that is, if your answer is 22.6%, write 22.6 as you answer.)

2. How many patients are treated in the trauma bays of this hospital on an average 24 hourday?

3. When a patient is sent to another hospital, the hospital has to put a staff with adequate skillsto guarantee the patient’s life, which costs the hospital $200 per patient sent. What is the averagedaily cost (in $) for the hospital from patients that are being sent to other hospitals?

4. New state regulations require that every emergency department be able to accommodate atleast 99% of all patients needing a trauma bay without any waiting. What is the minimumnumber of trauma bays necessary to meet this requirement? (Assume that the time spent in thetrauma bay cannot be changed)