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A newly created NorthEast Airways(NE) flight from Philadelphia to Boston has 300 seats. Thehigh fare on the flight is $800 and the restricted/low fare is

A newly created NorthEast Airways(NE) flight from Philadelphia to Boston has 300 seats. Thehigh fare on the flight is $800 and the restricted/low fare is $300. There is ample demandfor the low fare class but high fare demand is random. Further, the customers who buylow fares buy their tickets well in advance before high fare customers. Assume the demandfor the high fare is normally distributed with mean 120 and standard deviation of 50. Mr.VeryOpen is in charge of the flight booking operations and decides to employ a "Protectthe Premium' strategy. He sets a protection level of 150 seats for the high fare. Can Mr. VeryOpen help AA earn more revenue by setting a different protection level? If so, by how much could the revenue increase?

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