X Imaging is a small radiology facility that performs MRI scans. The clinic has 11 rooms, each equipped with an MRI machine, to perform the procedure. Only one patient undergoes a scan in a room at a time. The procedure takes 30 minutes per patient. The clinic is open for appointments 6 days a week, 10 hours a day. The same number of appointments are scheduled each day of the week.
NOTE: SHOW ALL YOUR WORK. USE 4 DECIMAL PLACES IN YOUR CALCULATIONS.
What is the maximum number of appointments that can be scheduled per day for the daily MRI room utilization to be at most 95%?
Suppose 1550 scans are scheduled per week. Each MRI technician works 6 days a week and performs no more than 15 procedures a day. What is the minimum number of scans needed for the weekly MRI technician utilization to be no less than 85%?