On a given Hong Kong-Singapore flight, there are 300 seats. Suppose the ticket price is 400 Singapore dollars (SGD) and

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On a given Hong Kong-Singapore flight, there are 300 seats.
Suppose the ticket price is 400 Singapore dollars (SGD) and the
number of passengers who reserve a seat but do not show up for
departure is normally distributed with mean 40 and standard
deviation 24. You decide to overbook the flight and estimate that
the net cost of an involuntary boarding denial (if the number of
passengers exceeds the number of seats) is SGD900 (everything
considered).
The optimal number of reservations that you should accept
(rounded to the nearest integer) is:
Group of answer choices
352
328
346
340
334