A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.20 worth of input from the transportation sector and $0.40 of input from the energy sector. For each $1 worth of output, the energy sector requires $0.32 from the transportation sector and $0.04 from the energy sector. (a) Give the input-output matrix A for this economy. (b) Determine the matrix (I - A)¹. (c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $5 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 (88) E (Type an integer or decimal for each matrix element.) A =
A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.20 worth of input from the transportation sector and $0.40 of input from the energy sector. For each $1 worth of output, the energy sector requires $0.32 from the transportation sector and $0.04 from the energy sector. (a) Give the input-output matrix A for this economy. (b) Determine the matrix (I - A)¹. (c) What level of output should each sector produce to meet a demand for $3 billion worth of transportation and $5 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 (88) E (Type an integer or decimal for each matrix element.) A =
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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Transcribed Image Text:A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth
of output, the transportation sector requires $0.20 worth of input from the transportation sector and
$0.40 of input from the energy sector. For each $1 worth of output, the energy sector requires $0.32
from the transportation sector and $0.04 from the energy sector.
(a) Give the input-output matrix A for this economy.
(b) Determine the matrix (I - A)¹.
(c) What level of output should each sector produce to meet a demand for $3 billion worth of
transportation and $5 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.
A =
ΤΕ
E
(Type an integer or decimal for each matrix element.)
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