Chapter 8.6, Problem 23E

CRUISE SHIP BOOKINGS Because of late cancellations, Neptune Lines, an operator of cruise ships, has a policy of accepting more reservations than there are accommodations available, From experience, $8\%$ of the bookings for the $90$-day around-the-world cruise on the S.S. Drion, which has accommodation for $2000$ passengers, are subsequently canceled. If the management of Neptune Lines has decided, for public relations reasons, that $99\%$ of all booked passengers will obtain accommodation on the ship, determine the largest number of reservations that should be taken for this cruise on the S.S. Drion.