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To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires 13 hours for painting, 3 hours for drying, and 5 hours for polishing. A Beta requires 33 hours for painting, 8 hours for drying, and 6 hours for polishing, and a Sigma requires 4 hours for painting, 2 hours for drying, and 5 hours for polishing. If the company has 415 hours for painting, 110 hours for drying, and 134 hours for polishing per month, how many of each type of car are produced?
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