The National Overnight (NatO) company provides express small package delivery overnight. Airplanes arrive 24 hours a day at the national hub in Dallas where their contents are unloaded onto cargo vans each capable of holding 1,000 packages. The cargo vans transport the packages to the sorting center. The sorting center has a large storage area designed to hold up to 49,000 packages. After being sorted, another fleet of cargo vans transports the packages to the outgoing planes. However, the following information details the receiving process only. During the night (6 p. m. to 6 a. m.), airplanes arrive at a high rate providing a continuous arrival flow of packages with an average rate of 27.000 packages per hour. However, during the day (6 a. m. to 6 p. m.) air landings are less frequent, resulting in an average arrival rate of 5,000 packages per hour. NatO runs two 12-hour shifts at the center: the night shift starts at 8 p. m. and leaves by 8 a. m. The night shift has the largest number of employees and can process up to 18,000 packages per hour. The day shift, on the other hand, is smaller and can process up to 12,000 packages per hour from 8 a. m. to 8 p. m. It is known that the cargo vans typically had to wait to unload at the sorting center during some portions of the night shift. Cargo van drivers were paid $10/hour, benefits included. sorting NatO begins each night with completely empty storage bins at 6 p. m. Cargo vans begin waiting as soon as the storage area is full. What is the maximum number of cargo vans waiting in line at any given during a 24-hour period?