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 into Los Angeles and at most 20 into New York. A round-trip plane flight from Chicago to LA costs $195; from Chicago to New York costs $182; from Denver to LA costs $425; and 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 LA and New York to have the most salespeople on the road? (Enter your answers as a comma-separated list. Let

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 into Los Angeles and at most 20 into New York. A round-trip plane flight from Chicago to LA costs $195; from Chicago to New York costs $182; from Denver to LA costs $425; and 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 LA 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 LA = x,

 

the number of people from Chicago to NY = y,

 

the number of people from Denver to LA = 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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