A package holiday company is about to block book hotel rooms for the coming season. The number of holidays actually booked is equally likely to be any number between 0 and 99 (for simplicity rather than reality). Each room booked costs the company $250 and they can sell them for $350. a) How many rooms should the company book if unsold rooms have no value? b) How many rooms should it book if unsold rooms can be sold as last-minute bookings for $100 each