Consider a hotel chain that has four different booking classes denoted P,Q,R and S. Total capacity stands at 1,000 rooms and a quarter of all rooms are reserved for booking class P. A third of the remainder is reserved for booking class Q and 200 rooms are reserved for booking class R. Given that P is the highest class and S is the lowest class with P > Q > R > S, draw a diagram such as in Figure 11.1 and determine the booking limits for each class under a nested booking system.