Barbell Company produces three types of food container for Company X namely container A, container B and container C. To produce a container A, it requires 2 minutes on machine I, 1 minute on machine II and 2 minutes on machine III. For a container B, it requires 1 minute on machine I, 3 minutes on machine II and 1 minute on machine III. Meanwhile, a container C requires 1 minutes on machine I and 2 minutes each on machine II and III. There are three hours available on machine I, five hours available on machine II and four hours available on machine III for processing the casings. By using inverse matrix method, determine how many containers of each type should Barbell Company produce to use all of the available time?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Barbell Company produces three types of food container for Company X namely container A,
container B and container C. To produce a container A, it requires 2 minutes on machine I, 1
minute on machine II and 2 minutes on machine III. For a container B, it requires 1 minute on
machine I, 3 minutes on machine II and 1 minute on machine III. Meanwhile, a container C
requires 1 minutes on machine I and 2 minutes each on machine II and III. There are three
hours available on machine I, five hours available on machine II and four hours available on
machine III for processing the casings. By using inverse matrix method, determine how many
containers of each type should Barbell Company produce to use all of the available time?
Transcribed Image Text:Barbell Company produces three types of food container for Company X namely container A, container B and container C. To produce a container A, it requires 2 minutes on machine I, 1 minute on machine II and 2 minutes on machine III. For a container B, it requires 1 minute on machine I, 3 minutes on machine II and 1 minute on machine III. Meanwhile, a container C requires 1 minutes on machine I and 2 minutes each on machine II and III. There are three hours available on machine I, five hours available on machine II and four hours available on machine III for processing the casings. By using inverse matrix method, determine how many containers of each type should Barbell Company produce to use all of the available time?
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