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=
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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