A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.44 worth of input from the transportation sector and $0.28 of input from the energy sector. For each worth of output, the energy sector requires $0.22 from the transportation sector and $0.34 from the energy sector. (a) Give the input-output matrix A for this economy. (b) Determine the matrix (I - A) (c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $4 billion worth of energy? (d) How much of the output of each sector is used to meet internal consumption? (a) Give the input-output matrix A for this economy. TE A = (Type an integer or decimal for each matrix element.) (b) Determine the matrix (I - A)-1. (I - A)1=O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.)
A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.44 worth of input from the transportation sector and $0.28 of input from the energy sector. For each worth of output, the energy sector requires $0.22 from the transportation sector and $0.34 from the energy sector. (a) Give the input-output matrix A for this economy. (b) Determine the matrix (I - A) (c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $4 billion worth of energy? (d) How much of the output of each sector is used to meet internal consumption? (a) Give the input-output matrix A for this economy. TE A = (Type an integer or decimal for each matrix element.) (b) Determine the matrix (I - A)-1. (I - A)1=O (Type an integer or decimal for each matrix element. Round to two decimal places as needed.)
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
Topic Video
Question
A simplified economy consists of the two sectors Transportation and Energy.
For each $1 worth of output, the transportation sector $0.44 worth of input from the transportation sector and $0.28 of input
![A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.44 worth of input from the transportation sector and $0.28 of input from the energy sector. For each $1
worth of output, the energy sector requires $0.22 from the transportation sector and $0.34 from the energy sector.
(a) Give the input-output matrix A for this economy.
(b) Determine the matrix (I - A)
(c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $4 billion worth of energy?
(d) How much of the output of each sector is used to meet internal consumption?
-1
(a) Give the input-output matrix A for this economy.
TE
T.
A =
(Type an integer or decimal for each matrix element.)
(b) Determine the matrix (I - A)1
(I - A)-1=O
(Type an integer or decimal for each matrix element. Round to two decimal places as needed.)
(c) The transportation sector should produce about $ billion and the energy sector should produce about $ billion.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
(d) About $ billion of the transportation output and about $ billion of the energy output will be used to meet internal consumption.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a16a35c-139d-46eb-9fdc-15c7b50bb69d%2Fb5e9b204-7c42-4da2-8686-d6399e5a46b1%2Fn2kvkeg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.44 worth of input from the transportation sector and $0.28 of input from the energy sector. For each $1
worth of output, the energy sector requires $0.22 from the transportation sector and $0.34 from the energy sector.
(a) Give the input-output matrix A for this economy.
(b) Determine the matrix (I - A)
(c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $4 billion worth of energy?
(d) How much of the output of each sector is used to meet internal consumption?
-1
(a) Give the input-output matrix A for this economy.
TE
T.
A =
(Type an integer or decimal for each matrix element.)
(b) Determine the matrix (I - A)1
(I - A)-1=O
(Type an integer or decimal for each matrix element. Round to two decimal places as needed.)
(c) The transportation sector should produce about $ billion and the energy sector should produce about $ billion.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
(d) About $ billion of the transportation output and about $ billion of the energy output will be used to meet internal consumption.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
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, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)