Suppose that there are 10 seats in first class available and that the cost of each first class ticket is $1,200. (This $1,200 contributes entirely to profit since the variable cost associated with a passenger on a flight is close to zero.) Suppose further that any overbooked seat costs the airline $3,000, which is the cost of the free ticket issued the passenger plus some potential cost in damaged customer relations. (First class passengers do not expect to be bumped!) Thus, for example, if 10 of the first class passengers show up for the flight, the airline's profit is $12,000. If 11 first class passengers show up, the profit is $9,000. What is the expected profit from first class passengers for this flight