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.)

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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 

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 $1
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?
-1
(a) Give the input-output matrix A for this economy.
TE
T.
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.)
(c) The transportation sector should produce about $ billion and the energy sector should produce about $ billion.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
(d) About $ billion of the transportation output and about $ billion of the energy output will be used to meet internal consumption.
(Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
Transcribed Image Text:A simplified economy consists of the two sectors Transportation and Energy. For each $1 worth of output, the transportation sector requires $0.44 worth of input from the transportation sector and $0.28 of input from the energy sector. For each $1 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? -1 (a) Give the input-output matrix A for this economy. TE T. 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.) (c) The transportation sector should produce about $ billion and the energy sector should produce about $ billion. (Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.) (d) About $ billion of the transportation output and about $ billion of the energy output will be used to meet internal consumption. (Round the final answer to two decimal places as needed. Round all intermediate values to two decimal places as needed.)
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