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 80% of its output ta Chemicals and 10% to Machinery and retains the rest. Machinery sells 30% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below. a. Construct the exchange table for this economy. Distribution of Output from: Chemicals Fuels Machinery 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 thin 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.) c. Find a set of equilibrium prices when the price for the Machinery output is 80 units. PChemicals = PFuels =, PMachinery = (Type integers or decimals rounded to the nearest tenth as needed.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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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 80% of its output to
Chemicals and 10% to Machinery and retains the rest. Machinery sells 30% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below.
a. Construct the exchange table for this economy.
Distribution of Output from:
Chemicals
Fuels
Machinery
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.)
c. Find a set of equilibrium prices when the price for the Machinery output is 80 units.
PChemicals =, PFuels =|
(Type integers or decimals rounded to the nearest tenth as needed.)
PMachinery =
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 80% of its output to Chemicals and 10% to Machinery and retains the rest. Machinery sells 30% of its output to Chemicals and 30% to Fuels and retains the rest. Complete parts (a) through (c) below. a. Construct the exchange table for this economy. Distribution of Output from: Chemicals Fuels Machinery 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.) c. Find a set of equilibrium prices when the price for the Machinery output is 80 units. PChemicals =, PFuels =| (Type integers or decimals rounded to the nearest tenth as needed.) PMachinery =
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