The booking limits for four fare classes are given as b=(b1,b2,b3,b4)=(20,15,5,2). Suppose that no bookings are made at the moment. The following parts are dependent. a) Can we accept a request for 5 bookings for class 3 ? What is the current (cumulative) booking vector B after processing this request? b) Can we accept a request for 1 booking for class 3 ? What is the current (cumulative) booking vector B after processing this request? c) Can we process a cancellation of 4 bookings for class 3 ? What is the current (cumulative) booking vector B after processing this request? d) Can we accept a request for 2 bookings for class 4 ? What is the current (cumulative) booking vector B after processing this request