A company wishes to produce three types of souvenirs: types A, B, and C .To manufacturers a type- A souvenir requires 2 minutes on machine I, 1 minute on machine II, and 2 minutes on machine III. A type- B souvenir requires 1 minute on machine I, 3 minutes on machine II, and 1 minute on machine III. A type-C souvenir require 1 minutes on machine I and 2 minute each one machine II and III. There are 3 hours available on machine I, 5 hours available on machine II, and 4 hours available on machine III, for processing the order. How many souvenirs of each type should be the company make in order to use all 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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A company wishes to produce three types of souvenirs: types A, B, and C .To manufacturers a type- A souvenir requires 2 minutes on machine I, 1 minute on machine II, and 2 minutes on machine III. A type- B souvenir requires 1 minute on machine I, 3 minutes on machine II, and 1 minute on machine III. A type-C souvenir require 1 minutes on machine I and 2 minute each one machine II and III. There are 3 hours available on machine I, 5 hours available on machine II, and 4 hours available on machine III, for processing the order. How many souvenirs of each type should be the company make in order to use all the available time.
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