A hospital only provides care to hernia patients. Each patient spends 4 nights at the hospital. This includes preparation of the patient before the hernia surgery and recovery after the hernia surgery. As a new initiative, The hospital tries to adopt less invasive procedures to reduce a patient’s length of stay at the hospital. Suppose the hospital invests in new technology and reduces the hospital stay per patient to 3 nights. The hospital has 120 rooms and one bed in each room. Surgeries are performed 7 days a week, Monday through Sunday. The number of surgeries performed per day is the same for each day of the week.
1) 60 surgeries are scheduled per day 7 days a week. Each surgeon works 5 days a week and performs at most 4 surgeries a day. How many surgeons are needed on average for the weekly average surgeon utilization to be below 80%?