Your publishing company is about to start a promotional blitz for its new book, Advanced Quantum Mechanics for the Liberal Arts. You have 20 salespeople stationed in Chicago and 15 in Denver. You would like to fly at most 15 salespeople into Los Angeles and at most 20 into New York. A round-trip plane flight from Chicago to Los Angeles costs $195; one from Chicago to New York costs $182; one from Denver to Los Angeles costs $435; and one from Denver to New York costs $166. You want to spend at most $6,330 on plane flights. How many salespeople should you fly from each of Chicago and Denver to each of Los Angeles and New York to have the most salespeople on the road? (Enter your answers as a comma-separated list. Let the number of people from Chicago to Los Angeles = x, the number of people from Chicago to NY = y, the number of people from Denver to Los Angeles = z,and the number of people from Denver to NY = w. Remember that a fraction of a person cannot make the flight!)
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