Economy has three industries A, B, and C. These industries have annual consumer sales of 40, 30, and 70 (in billions of dollars), respectively. For every dollar of goods, A Sellas, A requires 20 cents of goods from B and 10 cents of goods from C. For each dollar of goods B sells, B requires 25 cents of goods from A and 10 cents of goods from C. For each dollar of goods C sells, C requires 10 cents of goods from A and 15 cents of goods from B. Determine the total output required from each industry to meet both consumer and between industry demand. (a) Write a system of linear equations modeling the problem. (b) Use the augmented matrix to solve the problem. (c) Determine the total output required from each industry.
Economy has three industries A, B, and C. These industries have annual consumer sales of 40, 30, and 70 (in billions of dollars), respectively. For every dollar of goods, A Sellas, A requires 20 cents of goods from B and 10 cents of goods from C. For each dollar of goods B sells, B requires 25 cents of goods from A and 10 cents of goods from C. For each dollar of goods C sells, C requires 10 cents of goods from A and 15 cents of goods from B. Determine the total output required from each industry to meet both consumer and between industry demand. (a) Write a system of linear equations modeling the problem. (b) Use the augmented matrix to solve the problem. (c) Determine the total output required from each industry.
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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Transcribed Image Text:Economy has three industries A, B, and C. These industries have annual consumer sales of
40, 30, and 70 (in billions of dollars), respectively. For every dollar of goods, A Sellas, A requires 20 cents
of goods from B and 10 cents of goods from C. For each dollar of goods B sells, B requires 25 cents of
goods from A and 10 cents of goods from C. For each dollar of goods C sells, C requires 10 cents of goods
from A and 15 cents of goods from B.
Determine the total output required from each industry to meet both consumer and between industry
demand.
(a) Write a system of linear equations modeling the problem.
(b) Use the augmented matrix to solve the problem.
(c) Determine the total output required from each industry.
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