The monthly cost for a company that sells designer shoes is given by where C' is the cost, in USD, when a pairs of shoes are sold each month. If the number of pairs of shoes sold is increasing at a rate of 50 per month dC find the rate at which the company's cost is changing with respect to time when 1100 are sold each month. In other words, find if we know that dt dx = 50 pairs per month and x = 1100 pairs. dt dC dt C 3900 + 18x +0.2x², USD per month.
The monthly cost for a company that sells designer shoes is given by where C' is the cost, in USD, when a pairs of shoes are sold each month. If the number of pairs of shoes sold is increasing at a rate of 50 per month dC find the rate at which the company's cost is changing with respect to time when 1100 are sold each month. In other words, find if we know that dt dx = 50 pairs per month and x = 1100 pairs. dt dC dt C 3900 + 18x +0.2x², USD per month.
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...
Related questions
Question
Can some explain this problem
![The monthly cost for a company that sells designer shoes is given by
\[ C = 3900 + 18x + 0.2x^2, \]
where \( C \) is the cost, in USD, when \( x \) pairs of shoes are sold each month. If the number of pairs of shoes sold is increasing at a rate of 50 per month, find the rate at which the company's cost is changing with respect to time when 1100 are sold each month. In other words, find \(\frac{dC}{dt}\) if we know that
\[
\frac{dx}{dt} = 50 \, \text{pairs per month and} \, x = 1100 \, \text{pairs}.
\]
\[
\frac{dC}{dt} = \, \underline{\hspace{2cm}} \, \text{USD per month.}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3667c4e2-dfba-4518-b7aa-6b434ae74977%2Fa7102884-d751-4f05-8250-e31da5b195fd%2Fyh71m8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The monthly cost for a company that sells designer shoes is given by
\[ C = 3900 + 18x + 0.2x^2, \]
where \( C \) is the cost, in USD, when \( x \) pairs of shoes are sold each month. If the number of pairs of shoes sold is increasing at a rate of 50 per month, find the rate at which the company's cost is changing with respect to time when 1100 are sold each month. In other words, find \(\frac{dC}{dt}\) if we know that
\[
\frac{dx}{dt} = 50 \, \text{pairs per month and} \, x = 1100 \, \text{pairs}.
\]
\[
\frac{dC}{dt} = \, \underline{\hspace{2cm}} \, \text{USD per month.}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning