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During the recent economic slump, SunShine Airline discovered that airplanes on its Berlin - Dalaman route have been flying with more empty seats than usual.

During the recent economic slump, SunShine Airline discovered that airplanes on its Berlin-Dalaman route have been flying with more empty seats than usual. To stimulate demand, it has decided to offer a special, nonrefundable, 14-day advance-purchase "Sunny Fare" for only 150  one-way based on a round-trip ticket. The "Regular Fare" ticket costs 250  one-way. The Airbus 330 used by SunShine Airline, has a total capacity 200 seats for fare classes "Sunny Fare" and "Regular Fare" (other seats of Airbus 330 are allocated to the "Business Fare" class) and management wants to limit the number of seats that are sold at "Sunny Fare" in order to sell "Regular Fare" tickets to passengers who have not made advance travel plans. Considering recent experience, the demand for "Regular Fare" tickets appears to have a normal distribution, with a mean of 120 and a standard deviation of 30.What is the revenue maximizing number of seats that SunShine Airline should reserve for the "Regular Fare" fare class if we assume that all seats reserved for the "Sunny Fare" fare class would be sold?

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