Coca Cola's net operating revenue (in billion $) for recent years can be modeled by the function (x) = 0.0993x³-4.75x2² +72.5x-310.9, where x is the number of years after 2000 and the domain is [9, 22]. a. Estimate Coca Cola's revenue in 2015 and 2019 using this model. b. At what rate was the revenue changing in 2020? c. Discuss the behavior of the revenue on the domain [9, 22]. Include interval(s) for which revenue increased and decreased. Determine all extreme points and classify as maximum/minimum and relative/absolute. Work must be shown here.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Coca Cola's net operating revenue (in billion S) for recent years can be modeled by the function
(x) = 0.0993x³-4.75x² + 72.5x - 310.9, where x is the number of years after 2000 and the
domain is [9, 22].
a. Estimate Coca Cola's revenue in 2015 and 2019 using this model.
b. At what rate was the revenue changing in 2020?
c. Discuss the behavior of the revenue on the domain [9, 22]. Include interval(s) for which
revenue increased and decreased. Determine all extreme points and classify as
maximum/minimum and relative/absolute. Work must be shown here.
d. What is the POI? What is the significance of this point in the context of the problem?
e. Sketch a good graph of the revenue function over the given domain.
Transcribed Image Text:Coca Cola's net operating revenue (in billion S) for recent years can be modeled by the function (x) = 0.0993x³-4.75x² + 72.5x - 310.9, where x is the number of years after 2000 and the domain is [9, 22]. a. Estimate Coca Cola's revenue in 2015 and 2019 using this model. b. At what rate was the revenue changing in 2020? c. Discuss the behavior of the revenue on the domain [9, 22]. Include interval(s) for which revenue increased and decreased. Determine all extreme points and classify as maximum/minimum and relative/absolute. Work must be shown here. d. What is the POI? What is the significance of this point in the context of the problem? e. Sketch a good graph of the revenue function over the given domain.
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