Solve the problem. A business manager determines that the total cost of producing x units of a particular commodity may be modeled by the function C(x) = 7.5x + 270,000 (dollars). The average cost is A(x) = C(x) Find lim A(x), and interpret

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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Question 2
Solve the problem.
A business manager determines that
the total cost of producing x units of a
particular commodity may be
modeled by the function
C(x) = 7.5x + 270,000
%3D
(dollars). The average cost is A(x) =
C(x)
lim
Find
A(x), and interpret
xtoo
your result.
Transcribed Image Text:Question 2 Solve the problem. A business manager determines that the total cost of producing x units of a particular commodity may be modeled by the function C(x) = 7.5x + 270,000 %3D (dollars). The average cost is A(x) = C(x) lim Find A(x), and interpret xtoo your result.
Question 3
Solve the problem.
A credit card company estimates that
the average cardholder owed $7440
in the year 2005 and $9420 in 2010.
Suppose average cardholder debt D
grows at a constant rate.
a. Express D as a linear function of
time t, wheret is the number of years
after 2005.
b. Draw the graph.
c. Use the function in part (a) to
predict the average cardholder debt
in the year 2015.
Show all your work.
Transcribed Image Text:Question 3 Solve the problem. A credit card company estimates that the average cardholder owed $7440 in the year 2005 and $9420 in 2010. Suppose average cardholder debt D grows at a constant rate. a. Express D as a linear function of time t, wheret is the number of years after 2005. b. Draw the graph. c. Use the function in part (a) to predict the average cardholder debt in the year 2015. Show all your work.
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