Question

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 $395; and one from Denver to New York costs $166. You want to spend at most $6,340 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!)

Answer 1

Answer:

Given data

Sales people stationed = 20 & 15 in Denver

Loss Angles costs = $ 195

Chicago to New York = $ 182

x $\rightarrow$ people from chicago to Loss Angels

y $\rightarrow$ People from chicago to New York

Z $\rightarrow$ People from Denver to Loss Angeles

Chicago = 20,

New York = 20

Loss Angeles = 15,

Denver = 15

Cost	Value
x	195	20x+15y
y	182	20x+20y
z	395	15x+15y
w	166	15x+20y
Total	6340

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