An cconomy is based on Energy (E) and Transportation (T). In order to produce a dollar's worth of output from the energy sector, input of $0.20 form energy and $0.35 from transportation is needed. For a dollar's worth of output from the transportation sector, input of $0.30 from energy and $0.15 of transportation is needed. The input output matrix describing this economy is E E0.20 0.30 Т 0.35 0.15 Find the total output, to satisfy a consumer demand of $80 million worth of Energy and $100 million worth of Transportation.
An cconomy is based on Energy (E) and Transportation (T). In order to produce a dollar's worth of output from the energy sector, input of $0.20 form energy and $0.35 from transportation is needed. For a dollar's worth of output from the transportation sector, input of $0.30 from energy and $0.15 of transportation is needed. The input output matrix describing this economy is E E0.20 0.30 Т 0.35 0.15 Find the total output, to satisfy a consumer demand of $80 million worth of Energy and $100 million worth of Transportation.
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
![### Economic Input-Output Model: Energy and Transportation Sector
An economy is based on Energy (E) and Transportation (T). To produce a dollar's worth of output from the energy sector, an input of $0.20 from energy and $0.35 from transportation is needed. For a dollar’s worth of output from the transportation sector, an input of $0.30 from energy and $0.15 of transportation is required. The input-output matrix representing this economy is:
\[
\begin{bmatrix}
E & T \\
\hline
0.20 & 0.30 \\
0.35 & 0.15
\end{bmatrix}
\]
In this matrix:
- The first row represents the input requirements for the energy sector.
- To produce $1 in the energy sector, $0.20 energy from itself and $0.35 of transportation is needed.
- The second row represents the input requirements for the transportation sector.
- To produce $1 in the transportation sector, $0.30 energy and $0.15 of transportation is required.
To find the total output required to meet a consumer demand of $80 million worth of Energy and $100 million worth of Transportation, we need to solve this linear system using the given matrix.
This input-output model can be used in economics to determine how different sectors are interconnected and to predict the total production requirements to meet certain levels of consumer demand across various sectors.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc953914a-58e5-446d-8333-dea1ae17cc05%2Fb8470546-8307-4867-9b42-b45a40d8ae42%2Fk8n8vpp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Economic Input-Output Model: Energy and Transportation Sector
An economy is based on Energy (E) and Transportation (T). To produce a dollar's worth of output from the energy sector, an input of $0.20 from energy and $0.35 from transportation is needed. For a dollar’s worth of output from the transportation sector, an input of $0.30 from energy and $0.15 of transportation is required. The input-output matrix representing this economy is:
\[
\begin{bmatrix}
E & T \\
\hline
0.20 & 0.30 \\
0.35 & 0.15
\end{bmatrix}
\]
In this matrix:
- The first row represents the input requirements for the energy sector.
- To produce $1 in the energy sector, $0.20 energy from itself and $0.35 of transportation is needed.
- The second row represents the input requirements for the transportation sector.
- To produce $1 in the transportation sector, $0.30 energy and $0.15 of transportation is required.
To find the total output required to meet a consumer demand of $80 million worth of Energy and $100 million worth of Transportation, we need to solve this linear system using the given matrix.
This input-output model can be used in economics to determine how different sectors are interconnected and to predict the total production requirements to meet certain levels of consumer demand across various sectors.
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 3 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.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