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 ??

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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 ??

 

 

Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 50% to Machinery and
retains the rest. Fuels sells 70% of its output to Chemicals and 20% to Machinery and retains the rest. Machinery sells 40% of its output to Chemicals and 20% to Fuels
and retains the rest. Complete parts (a) through (c) below.
a. Construct the exchange table for this economy.
Distribution of Output from:
Fuels
Chemicals
Machinery
Purchased by:
0.2
0.7
0.4
Chemicals
0.3
0.1
0.3
Fuels
0.2
(Type integers or decimals.)
0.5
0.3
Machinery
Transcribed Image Text:Consider an economy with three sectors, Chemicals & Metals, Fuels & Power, and Machinery. Chemicals sells 30% of its output to Fuels and 50% to Machinery and retains the rest. Fuels sells 70% of its output to Chemicals and 20% to Machinery and retains the rest. Machinery sells 40% of its output to Chemicals and 20% to Fuels and retains the rest. Complete parts (a) through (c) below. a. Construct the exchange table for this economy. Distribution of Output from: Fuels Chemicals Machinery Purchased by: 0.2 0.7 0.4 Chemicals 0.3 0.1 0.3 Fuels 0.2 (Type integers or decimals.) 0.5 0.3 Machinery
c. Find a set of equilibrium prices when the price for the Machinery output is 60 units.
67.1
= 42.4
PMachinery
PChemicals
60.0
%3D
PFuels
%3D
(Type integers or decimals rounded to the nearest tenth as needed.)
Transcribed Image Text:c. Find a set of equilibrium prices when the price for the Machinery output is 60 units. 67.1 = 42.4 PMachinery PChemicals 60.0 %3D PFuels %3D (Type integers or decimals rounded to the nearest tenth as needed.)
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