Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 20% of its output to Fuels and 70% to Machinery and retains the rest. Fuels sells 80% of its output to Chemicals and 10% to Machinery and retains the rest. Machinery sells 20% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below. Distribution of Output from: Chemicals Fuels 8 1 1 2 .7 Machinery 2 .3 5 ** Purchased by: Chemicals Fuels Machinery (Type integers or decimals.) b. Develop a system of equations that leads to prices at which each sector's income matches its expenses. Then write the augmented matrix that can be row reduced to find these prices. The first, second, and third columns of the matrix should correspond to Chemicals, Fuels, and Machinery, respectively. The augmented matrix is (Type an integer or decimal for each matrix element.)
Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 20% of its output to Fuels and 70% to Machinery and retains the rest. Fuels sells 80% of its output to Chemicals and 10% to Machinery and retains the rest. Machinery sells 20% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below. Distribution of Output from: Chemicals Fuels 8 1 1 2 .7 Machinery 2 .3 5 ** Purchased by: Chemicals Fuels Machinery (Type integers or decimals.) b. Develop a system of equations that leads to prices at which each sector's income matches its expenses. Then write the augmented matrix that can be row reduced to find these prices. The first, second, and third columns of the matrix should correspond to Chemicals, Fuels, and Machinery, respectively. The augmented matrix is (Type an integer or decimal for each matrix element.)
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:Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 20% of
its output to Fuels and 70% to Machinery and retains the rest. Fuels sells 80% of its output to Chemicals and 10% to
Machinery and retains the rest. Machinery sells 20% of its output to Chemicals and 30% to Fuels and retains the rest.
Complete parts (a) through (c) below.
Distribution of Output from:
Chemicals
Fuels
8
1
1
2
.7
Machinery
2
.3
5
Purchased by:
Chemicals
Fuels
Machinery
(Type integers or decimals.)
b. Develop a system of equations that leads to prices at which each sector's income matches its expenses. Then write
the augmented matrix that can be row reduced to find these prices. The first, second, and third columns of the matrix
should correspond to Chemicals, Fuels, and Machinery, respectively.
The augmented matrix is
(Type an integer or decimal for each matrix element.)
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