Country A produces GDP according to the following equation: GDP = 5√K and has a capital stock of 13,399. If the country devotes 13% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.
Country A produces GDP according to the following equation: GDP = 5√K and has a capital stock of 13,399. If the country devotes 13% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![**Investment in Country A**
In the educational example provided, Country A produces its Gross Domestic Product (GDP) according to the specific equation:
\[ \text{GDP} = 5\sqrt{K} \]
where \(\sqrt{K}\) represents the square root of the capital stock.
Given data:
- Current capital stock, \(K\), is 13,399.
- The country allocates 13% of its GDP to producing or repairing investment goods.
### Problem:
Calculate the amount of investment Country A is currently making, and round the answer to two decimal places.
### Steps to Solve:
1. **Calculate GDP:**
\[
\text{GDP} = 5\sqrt{K}
\]
Substitute \(K = 13,399\):
\[
\sqrt{13,399} \approx 115.74
\]
Then,
\[
\text{GDP} = 5 \times 115.74 \approx 578.70
\]
2. **Determine the amount devoted to investment:**
The country invests 13% of its GDP in producing or repairing investment goods.
\[
\text{Investment} = 0.13 \times \text{GDP}
\]
Substituting the calculated GDP:
\[
\text{Investment} = 0.13 \times 578.70 \approx 75.23
\]
### Conclusion:
Therefore, Country A is currently investing approximately **75.23** units in producing or repairing investment goods. This calculated figure is rounded to two decimal places as required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6387f1fe-f7de-460c-a439-51c8967659dd%2Fced3bbb5-ad73-4f7d-b27f-a4b4a226e5e9%2Fz8cmwrs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Investment in Country A**
In the educational example provided, Country A produces its Gross Domestic Product (GDP) according to the specific equation:
\[ \text{GDP} = 5\sqrt{K} \]
where \(\sqrt{K}\) represents the square root of the capital stock.
Given data:
- Current capital stock, \(K\), is 13,399.
- The country allocates 13% of its GDP to producing or repairing investment goods.
### Problem:
Calculate the amount of investment Country A is currently making, and round the answer to two decimal places.
### Steps to Solve:
1. **Calculate GDP:**
\[
\text{GDP} = 5\sqrt{K}
\]
Substitute \(K = 13,399\):
\[
\sqrt{13,399} \approx 115.74
\]
Then,
\[
\text{GDP} = 5 \times 115.74 \approx 578.70
\]
2. **Determine the amount devoted to investment:**
The country invests 13% of its GDP in producing or repairing investment goods.
\[
\text{Investment} = 0.13 \times \text{GDP}
\]
Substituting the calculated GDP:
\[
\text{Investment} = 0.13 \times 578.70 \approx 75.23
\]
### Conclusion:
Therefore, Country A is currently investing approximately **75.23** units in producing or repairing investment goods. This calculated figure is rounded to two decimal places as required.
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