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 II 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 II 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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 II 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85764b38-5f66-4b5d-a7a8-efe8acde05f0%2F93450538-04dc-4c33-95f7-044c0d4c183d%2Fup0juq.png&w=3840&q=75)
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 II 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.
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