Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth of industry II, $0.3 worth of industry III and $0.1 of its own product. To produce $1 of the output of industry Il requires $0.3 worth of industry I, $0.3 worth of industry III and $0.2 worth of its own product. To produce $1 of the output of industry III requires $0.5 worth of industry II, $0.2 worth of industry I and $0.2 worth of its own product. The annual final demands for outputs of the sectors are $100, $150 and $200 billion, respectively. Determine the output of industry I and the amount of primary input necessary to produce the output of industry I.

Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth of industry II, $0.3 worth of industry III and $0.1 of its own product. To produce $1 of the output of industry Il requires $0.3 worth of industry I, $0.3 worth of industry III and $0.2 worth of its own product. To produce $1 of the output of industry III requires $0.5 worth of industry II, $0.2 worth of industry I and $0.2 worth of its own product. The annual final demands for outputs of the sectors are $100, $150 and $200 billion, respectively. Determine the output of industry I and the amount of primary input necessary to produce the output of industry I.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
See similar textbooks
icon
Related questions
Topic Video
Question
Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth of industry II, $0.3 worth of industry III and $0.1 of its own product. To produce $1 of the output of industry Il requires $0.3 worth of industry I, $0.3 worth of industry III and $0.2 worth of its own product. To produce $1 of the output of industry III requires $0.5 worth of industry II, $0.2 worth of industry I and $0.2 worth of its own product. The annual final demands for outputs of the sectors are $100, $150 and $200 billion, respectively. Determine the output of industry I and the amount of primary input necessary to produce the output of industry I.
Transcribed Image Text:Assume an economy with 3 industries. To produce $1 of the output of industry I requires $0.4 worth of industry II, $0.3 worth of industry III and $0.1 of its own product. To produce $1 of the output of industry Il requires $0.3 worth of industry I, $0.3 worth of industry III and $0.2 worth of its own product. To produce $1 of the output of industry III requires $0.5 worth of industry II, $0.2 worth of industry I and $0.2 worth of its own product. The annual final demands for outputs of the sectors are $100, $150 and $200 billion, respectively. Determine the output of industry I and the amount of primary input necessary to produce the output of industry I.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer