Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x + 0.0005x, where x is the number of passengers. a. Determine the marginal cost function. b. Estimate the marginal cost of an additional passenger if the flight already has 150 passengers. c. Is it more expensive to add another passenger when x = 150 or when x = 200?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Company data suggest that the total cost of a certain flight is approximately
C(x) = 120x – 0.38x? + 0.0005x³, where x is the number of passengers.
a. Determine the marginal cost function.
b. Estimate the marginal cost of an additional passenger if the flight already has
150 passengers.
c. Is it more expensive to add another passenger when x = 150 or when x = 200?
Transcribed Image Text:Company data suggest that the total cost of a certain flight is approximately C(x) = 120x – 0.38x? + 0.0005x³, where x is the number of passengers. a. Determine the marginal cost function. b. Estimate the marginal cost of an additional passenger if the flight already has 150 passengers. c. Is it more expensive to add another passenger when x = 150 or when x = 200?
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