Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. Revenue from a ticket on the flight is $125. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person some coupons, which in total incurs a cost of $250. Assume that in this case the customer does not need to pay for the original ticket.

Past history show that the number of no-shows has the following distribution

No-shows:Probability

10.2

20.3

30.25

40.1

50.15

a. What are the unit underage cost and overage cost?

b. By how many seats should Super Discount overbook the flight?