The site is running from 8:00 am to 5:00 pm, and you have 9,000 appointments in a day. You can start drawing vaccines into syringes at 7:00 am at a rate of 1,000 per hour, and each vial provides six syringe draws, with each draw requiring 100 seconds. At 8:00 am patients start arriving at 1,250 per hour until noon, when the pace drops to a 1,000 per hour for the balance of the day. How many people do you need to draw syringes? If the lanes can keep up with arrival rate, when do they run out of vaccine?