Consider an economy of four sectors, Agriculture, Energy, Manufacturing, and Transportation. Agriculture sector sells 12% of its output to Energy, 35% to Manufacturing, 25% to Transportation and retains the rest. Energy sector sells 30% of its output to Agriculture, 30% to Manufacturing, 15% to Transportation and retains the rest. Manufacturing sector sells 30% of its output to Agriculture, 27% to Energy, and retains the rest. Transportation sector sells 20% of its output to Agriculture, 10% to Energy, 30% to Manufacturing and retains the rest. a. Construct the exchange table for this economy. b. Write down the system of linear equation that leads to prices at which each sector’s income matches its expenses, and solve these equations by Gaussian method to find these prices.
Consider an economy of four sectors, Agriculture, Energy, Manufacturing, and Transportation. Agriculture sector sells 12% of its output to Energy, 35% to Manufacturing, 25% to Transportation and retains the rest. Energy sector sells 30% of its output to Agriculture, 30% to Manufacturing, 15% to Transportation and retains the rest. Manufacturing sector sells 30% of its output to Agriculture, 27% to Energy, and retains the rest. Transportation sector sells 20% of its output to Agriculture, 10% to Energy, 30% to Manufacturing and retains the rest.
a. Construct the exchange table for this economy.
b. Write down the system of linear equation that leads to prices at which each sector’s income matches its expenses, and solve these equations by Gaussian method to find these prices.
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