4. consider a hotel manager accepting reservations for the holiday season. the capacity available is 2,000 rooms and hotel makes $200 for each room sold. the manager must decide on how many orders to commit at this time. if it has reservations that exceed capacity, it must arrange for backup capacity that results in a loss of $100 per dress. travelers have been known to cancel orders near the holiday season as their plans change. how many reservations should the manager accept if cancellations are normally distributed, with a mean of 500 and a standard deviation of 150? (15 points)