Problem $20-5($Algo$)$

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 $20$ customers $($with a standard

deviation of $25)$ cancel their reservation or do not show for the flight. Revenue from a ticket on

the flight is $$150.$ If the flight is overbooked, the airline has a policy of getting the customer on the

next available flight and giving the person a free round$-$trip ticket on a future flight. The cost of

this free round$-$trip ticket averages $$200.$ Super Discount considers the cost of flying the plane

from New York to Los Angeles a sunk cost.

By how many seats should Super Discount overbook the flight? $($Use Excel's NORMSINV$)$

function to find the correct critical value for the given $a-$level. Do not round intermediate

calculations. Round your answer to the nearest whole number.$)$