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# GERALD BLACK OF BLACKFLY AIRLINE HAS AN EXCLUSIVE CONTRACT

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Author: Christine Farr
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http://theperfecthomework.com/gerald-black-of-blackfly-airline-has-an-exclusive-contract-to-run-flights-of-a-four-passenger-aircraft-to-a-remote-mining-center/

Gerald Black of BlackFly Airline has an exclusive contract to run flights of a four-passenger aircraft to a remote mining center. His contract requires him to fly if there are any passengers wanting to make the trip. His fixed costs per day are \$400.00, his fixed costs per flight are \$1,200.00, the variable cost per passenger is \$25.00, and he charges \$850.00 per passenger.He has tracked the number of passengers who flew with him over the past sixty days. His findings are summarized in the following table:Number of Passengers 0 1 2 3 4Number of Days 5 12 15 21 7Of course, he does not fly on days with zero passengers. Assume that this sample gives a good approximation to his future demand patterns. Let G be the random variable: profit on a future day.a.) Calculate the Expected Value, E[ G ], Variance, 2[ G ] and standard deviation, [ G ], of his future daily profit. [Hint: You can calculate a profit corresponding to each number of passengers. The probabilities of those profits are then determined by the probabilities of the numbers of passengers.]

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