Answered: A corporation has a plastics division…

Name: A corporation has a plastics division and an industrial equipment divi
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Description: A corporation has a plastics division and an industrial equipment division. For each $1 worth of output, the plastics division needs $0.02 worth of plastics and $0.1 worth of industrial equipment. For each $1 worth of output, the industrial equipment

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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A corporation has a plastics division and an industrial equipment division. For each $1 worth of output, the plastics division needs $0.02 worth of plastics and $0.1 worth of industrial equipment. For each $1 worth of output, the industrial equipment division needs $0.01 worth of plastics and $0.05 worth of industrial equipment. At what level should the divisions produce to meet a consumer demand of $930,000 worth of plastics and $465,000 worth of industrial equipment?

Write the input-output matrix A.
Write the consumer demand matrix D.
Find the production matrix X

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