(a) Find the function for the quadratic model that gives the monthly profit in million dollars to an airline from a round-trip ticket on a certain route from Denver to Chicago where x dollars is the ticket price, with data from 200 s x s 450. (Round all numerical values to seven decimal places.) P(x) = million dollars (b) Calculate the average profit for ticket prices from $375 to $450. (Round your answer to three decimal places.) million (c) Calculate the average rate of change of profit when the ticket price rises from $375 to $450. (Round your answer to five decimal places.) million per dollar 2$
(a) Find the function for the quadratic model that gives the monthly profit in million dollars to an airline from a round-trip ticket on a certain route from Denver to Chicago where x dollars is the ticket price, with data from 200 s x s 450. (Round all numerical values to seven decimal places.) P(x) = million dollars (b) Calculate the average profit for ticket prices from $375 to $450. (Round your answer to three decimal places.) million (c) Calculate the average rate of change of profit when the ticket price rises from $375 to $450. (Round your answer to five decimal places.) million per dollar 2$
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The table gives the price of a round-trip flight from Denver to Chicago on a certain airline and the corresponding monthly
profit for that airline for that route.
Profit from Round-Trip Airfare from Denver
to Chicago
Ticket price, x
(dollars)
Monthly Profit, p
(millions of dollars)
200
3.08
250
3.52
300
3.76
350
3.82
400
3.70
450
3.38
(a) Find the function for the quadratic model that gives the monthly profit in million dollars to an airline from a
round-trip ticket on a certain route from Denver to Chicago where x dollars is the ticket price, with data from
200 < x < 450. (Round all numerical values to seven decimal places.)
p(x) =
million dollars
(b) Calculate the average profit for ticket prices from $375 to $450. (Round your answer to three decimal places.)
24
million
(c) Calculate the average rate of change of profit when the ticket price rises from $375 to $450. (Round your
answer to five decimal places.)
million per dollar
$
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