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.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 65E
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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
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