(a) DEMAND RATE When the price of a certain commodity is p dollars per unit, customers demand x hundred units of the commodity, where x² + 3px + p² = 79. How fast is the demand x changing with respect to time when the price is $5 per unit and is decreasing at the rate of 30 cents per month? (b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by the equation
(a) DEMAND RATE When the price of a certain commodity is p dollars per unit, customers demand x hundred units of the commodity, where x² + 3px + p² = 79. How fast is the demand x changing with respect to time when the price is $5 per unit and is decreasing at the rate of 30 cents per month? (b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by the equation
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
A and b
X = 10
Y = 19
![x= chronological order of the second letter in your first name
y = is the last digit of your student number; example, 5 in 20xx-12345.
(a) DEMAND RATE When the price of a certain commodity is p dollars per unit,
customers demand x hundred units of the commodity, where
² + 3px + p² = 79.
How fast is the demand x changing with respect to time when the price is $5 per
unit and is decreasing at the rate of 30 cents per month?
(b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by
the equation
2u + 30
Q = 3u? +
(u + v)²
If the current levels of input are u = 10 and v = 25, use calculus to estimate the
change in input v that should be made to offset a decrease of 0.7 unit in input u so
that output will be maintained at its current level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63ffdfd8-a3db-4391-8a39-45c5cb68cde4%2Fb8646062-b4c6-4a41-a5b2-4feff6075278%2Fqr8qoy2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x= chronological order of the second letter in your first name
y = is the last digit of your student number; example, 5 in 20xx-12345.
(a) DEMAND RATE When the price of a certain commodity is p dollars per unit,
customers demand x hundred units of the commodity, where
² + 3px + p² = 79.
How fast is the demand x changing with respect to time when the price is $5 per
unit and is decreasing at the rate of 30 cents per month?
(b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by
the equation
2u + 30
Q = 3u? +
(u + v)²
If the current levels of input are u = 10 and v = 25, use calculus to estimate the
change in input v that should be made to offset a decrease of 0.7 unit in input u so
that output will be maintained at its current level.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 7 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education