A hotel chain that offers four different types of rooms A, B, C, and D. The total capacity of the hotel chain is 1,000 rooms. One-quarter of these rooms are reserved for booking class A, one-third is reserved for B, 200 rooms are reserved for C, and 217 for D. Given that A is the highest class and D the lowest with A > B > C > D in terms of the price per room, determine the booking limits for each class under a nested booking system. (Show Calculations Please)