Overbooking hotel rooms $($Occupancy Management$).$ The practice of overbooking hotel rooms $-$ accepting reservations for more rooms than are available by forecasting the number of no$-$show reservations with the goal of attaining $100\%$ occupancy $-$ is viewed by the general public with skepticism. Hoteliers and front office managers who practice overbooking do so to meet an organization's financial objectives, i$.$e$.$ to maximize profits. Assume you are a front office manager for a hotel with $25$ rooms, and you are responsible for administering and developing a policy on overbooking. In this hotel we will assume that all reservations are Guaranteed reservations where prospective guests have made a contract with the hotel for a room. Below are a few facts to help with the problem.