Safety Tire Company makes four kinds of Tires: model SS, the super sport, model P, the Premium, model S, the Second line and model E, the Economy. Each tire must be processed on three machines as follows: Each model SS tire requires two hours on machine I, one hour on machine II, and three hours on machine III. Each model P tire requires three hours on I, two hours on II, and one hour on III. Each model S tire requires four, three and one hour respectively; whereas each model E tire requires one, two and three hours respectively. Find the number of each tire to be made in the coming week if exactly 37 hours on machine I, exactly 24 hours on machine II, and exactly 33 hours on machine III are to be utilized

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Safety Tire Company makes four kinds of Tires: model SS, the super sport, model P, the Premium, model S, the Second line and model E, the Economy. Each tire must be processed on three machines as follows: Each model SS tire requires two hours on machine I, one hour on machine II, and three hours on machine III. Each model P tire requires three hours on I, two hours on II, and one hour on III. Each model S tire requires four, three and one hour respectively; whereas each model E tire requires one, two and three hours respectively. Find the number of each tire to be made in the coming week if exactly 37 hours on machine I, exactly 24 hours on machine II, and exactly 33 hours on machine III are to be utilized.

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