Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from past history that an average of $40$ customers $($with a standard deviation of $26)$ cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is

$$140$

$.$ If the flight is overbooked, the airline has a policy of getting the customer on the next avallable flight and giving the person a free round$-$trip ticket on a future flight. The cost of this free round$-$trip ticket averages

$$270$