Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 4,800x + 0.07x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)= Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. thousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is . Thus, there is a difference of $ (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] = C(x) C(4) - thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial. The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100+ 35x - 0.06x². (a) Find the marginal cost function C'(x). C'(x) = Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears. $ per teddy bear Compare this with the exact cost of producing the 101st teddy bear (in $). The cost is increasing at a rate of $ $ per teddy bear. The exact cost of producing the 101st teddy bear is . Thus, there is a difference of $ (b) Find the average cost function C, and evaluate C(100) (in $). C(x) C(100) $ per teddy bear What does the answer tell you? The average cost of producing the first hundred teddy bears is $ per teddy bear.
Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 20 + 4,800x + 0.07x2. (a) Find the marginal cost function. HINT [See Example 1.] C'(x)= Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4. thousand dollars per television commercial Compare this with the exact cost (in dollars) of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is . Thus, there is a difference of $ (b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.] = C(x) C(4) - thousand dollars per television commercial What does the answer tell you? The average cost of airing the first four commercials is $ per commercial. The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the formula C(x) = 100+ 35x - 0.06x². (a) Find the marginal cost function C'(x). C'(x) = Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears. $ per teddy bear Compare this with the exact cost of producing the 101st teddy bear (in $). The cost is increasing at a rate of $ $ per teddy bear. The exact cost of producing the 101st teddy bear is . Thus, there is a difference of $ (b) Find the average cost function C, and evaluate C(100) (in $). C(x) C(100) $ per teddy bear What does the answer tell you? The average cost of producing the first hundred teddy bears is $ per teddy bear.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by
C(x) = 20 + 4,800x + 0.07x2.
(a) Find the marginal cost function. HINT [See Example 1.]
C'(x)=
Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4.
thousand dollars per television commercial
Compare this with the exact cost (in dollars) of airing the fifth commercial.
The cost is going up at the rate of $
per television commercial. The exact cost of airing the fifth commercial is
. Thus, there is a difference of $
(b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.]
=
C(x)
C(4) -
thousand dollars per television commercial
What does the answer tell you?
The average cost of airing the first four commercials is $
per commercial.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb39c7dee-7c3f-4481-823f-1eba39ee6dcc%2F26c791b7-9f87-4bb4-b3d9-1190ba22d8c5%2Fedwvuo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that the cost, in thousands of dollars, of airing x television commercials during a sports event is given by
C(x) = 20 + 4,800x + 0.07x2.
(a) Find the marginal cost function. HINT [See Example 1.]
C'(x)=
Use it to estimate how fast the cost (in thousands of dollars) is increasing when x = 4.
thousand dollars per television commercial
Compare this with the exact cost (in dollars) of airing the fifth commercial.
The cost is going up at the rate of $
per television commercial. The exact cost of airing the fifth commercial is
. Thus, there is a difference of $
(b) Find the average cost function C, and evaluate C(4) (in thousands of dollars). HINT [See Example 4.]
=
C(x)
C(4) -
thousand dollars per television commercial
What does the answer tell you?
The average cost of airing the first four commercials is $
per commercial.
Transcribed Image Text:The cost of producing x teddy bears per day at the Cuddly Companion Co. is calculated by their marketing staff to be given by the
formula
C(x) = 100+ 35x - 0.06x².
(a) Find the marginal cost function C'(x).
C'(x) =
Use it to determine how fast the cost is going up (in $) at a production level of 100 teddy bears.
$
per teddy bear
Compare this with the exact cost of producing the 101st teddy bear (in $).
The cost is increasing at a rate of $
$
per teddy bear. The exact cost of producing the 101st teddy bear is
. Thus, there is a difference of $
(b) Find the average cost function C, and evaluate C(100) (in $).
C(x)
C(100)
$
per teddy bear
What does the answer tell you?
The average cost of producing the first hundred teddy bears is $
per teddy bear.
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