1. Daily sales of a firm follows the formula 20,000 s(t) = 20,000 - 1 + 20,000e 0,2t where t is time in days since January 1, and s(t) represents the number of output units sold per day at time t. (a) Obtain a formula for s'(t), and hence estimate how fast sales were dropping at the end of March (t = 90). Ans: -1.22 (b) How fast were sales dropping 10 days later? Approximately how many units of output were sold that day? Ans: 0.82 (approximately 1 unit)
1. Daily sales of a firm follows the formula 20,000 s(t) = 20,000 - 1 + 20,000e 0,2t where t is time in days since January 1, and s(t) represents the number of output units sold per day at time t. (a) Obtain a formula for s'(t), and hence estimate how fast sales were dropping at the end of March (t = 90). Ans: -1.22 (b) How fast were sales dropping 10 days later? Approximately how many units of output were sold that day? Ans: 0.82 (approximately 1 unit)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![1. Daily sales of a firm follows the formula
20,000
s(t)
= 20,000 -
1 + 20,000e0,2t
where t is time in days since January 1, and s (t) represents the number of output
units sold per day at time t.
(a) Obtain a formula for s'(t), and hence estimate how fast sales were dropping at
the end of March (t = 90). Ans: -1.22
(b) How fast were sales dropping 10 days later? Approximately how many units
of output were sold that day? Ans: 0.82 (approximately 1 unit)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F328ed224-e682-45ed-8d15-6aba9929b65f%2F1be8c4d0-1f9e-4fc7-9fd0-427ed10f9bca%2Fky1ekdb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Daily sales of a firm follows the formula
20,000
s(t)
= 20,000 -
1 + 20,000e0,2t
where t is time in days since January 1, and s (t) represents the number of output
units sold per day at time t.
(a) Obtain a formula for s'(t), and hence estimate how fast sales were dropping at
the end of March (t = 90). Ans: -1.22
(b) How fast were sales dropping 10 days later? Approximately how many units
of output were sold that day? Ans: 0.82 (approximately 1 unit)
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
![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