We assume that in a village there is a farmer, carpenter, and a tailor, who provide the three essential goods: food, shelter, and clothing. Suppose the farmer himself consumes 20% of the food he produces, and gives 30% to the carpenter, and 50% to the tailor. 10% of the carpenter's production is consumed by himself, 20% by the farmer, and 70% by the talor. 50% of the tailor's production is used by himself, 20% by the farmer, and 30% by the carpenter. Write the matrix A that describes this closed Leontief model. Assume the first row and column represent the farmer, the second row and column represent the carpenter, and the third row and column represent the tailor. A=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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We assume that in a village there is a farmer, carpenter, and a tailor, who provide the three essential goods: food, shelter, and clothing. Suppose the farmer himself consumes 20% of the food he
produces, and gives 30% to the carpenter, and 50% to the tailor. 10% of the carpenter's production is consumed by himself, 20% by the farmer, and 70% by the tailor. 50% of the tailor's production
is used by himself, 20% by the farmer, and 30% by the carpenter. Write the matrix A that describes this closed Leontief model. Assume the first row and column represent the farmer, the second
row and column represent the carpenter, and the third row and column represent the tailor.
A=
Transcribed Image Text:We assume that in a village there is a farmer, carpenter, and a tailor, who provide the three essential goods: food, shelter, and clothing. Suppose the farmer himself consumes 20% of the food he produces, and gives 30% to the carpenter, and 50% to the tailor. 10% of the carpenter's production is consumed by himself, 20% by the farmer, and 70% by the tailor. 50% of the tailor's production is used by himself, 20% by the farmer, and 30% by the carpenter. Write the matrix A that describes this closed Leontief model. Assume the first row and column represent the farmer, the second row and column represent the carpenter, and the third row and column represent the tailor. A=
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