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a) Ace Novelty wishes to produce three types of souvenirs: Types A, B and C. To manufacture a type-A souvenir requires 2 minutes on machine 1, 1 minute on machine 2 and 2 minutes on machine 3. A type-B souvenir requires 1 minute on machine 1, 3 minutes on machine 2 and 1 minute on machine 3. A type-C souvenir requires 1 minute on machine 1, and 2 minutes each on machine 2 and 3. There are 3 hours available on machine 1, 5 hours available on machine 2 and 4 hours available on machine 3 for processing order. How many souvenirs of each type should Ace Novelty make in order to use all the available time?

a) Ace Novelty wishes to produce three types of souvenirs: Types A, B and C. To manufacture a type-A souvenir requires 2 minutes on machine 1, 1 minute on machine 2 and 2 minutes on machine 3. A type-B souvenir requires 1 minute on machine 1, 3 minutes on machine 2 and 1 minute on machine 3. A type-C souvenir requires 1 minute on machine 1, and 2 minutes each on machine 2 and 3. There are 3 hours available on machine 1, 5 hours available on machine 2 and 4 hours available on machine 3 for processing order. How many souvenirs of each type should Ace Novelty make in order to use all the available time?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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a) Ace Novelty wishes to produce three types of souvenirs: Types A, B and C. To manufacture a type-A souvenir requires 2 minutes on machine 1, 1 minute on machine 2 and 2 minutes on machine 3. A type-B souvenir requires 1 minute on machine 1, 3 minutes on machine 2 and 1 minute on machine 3. A type-C souvenir requires 1 minute on machine 1, and 2 minutes each on machine 2 and 3. There are 3 hours available on machine 1, 5 hours available on machine 2 and 4 hours available on machine 3 for processing order. How many souvenirs of each type should Ace Novelty make in order to use all the available time?
Transcribed Image Text:a) Ace Novelty wishes to produce three types of souvenirs: Types A, B and C. To manufacture a type-A souvenir requires 2 minutes on machine 1, 1 minute on machine 2 and 2 minutes on machine 3. A type-B souvenir requires 1 minute on machine 1, 3 minutes on machine 2 and 1 minute on machine 3. A type-C souvenir requires 1 minute on machine 1, and 2 minutes each on machine 2 and 3. There are 3 hours available on machine 1, 5 hours available on machine 2 and 4 hours available on machine 3 for processing order. How many souvenirs of each type should Ace Novelty make in order to use all the available time?
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