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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

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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 7 hours for painting, 3 hours for drying, and 4 hours for polishing. A Beta requires 15 hours for painting, 7 hours for drying, and 5 hours for polishing, and a Sigma requires 8 hours for painting, 1 hour for drying, and 1 hour for polishing. If the company has 214 hours for painting, 57 hours for drying, and 58 hours for polishing per month, how many of each type of car are produced? Select the correct choice below and ll in any answer boxes within your choice. O A- The Epsilon Motor Company produces Deltas, Betas, and Sigmas in a month. (Simplify your answers.) O 3- There are innitely many combinations of each type of car that can be produced. Using ordered triplets, the solution can be written as {(D,B,S) | D = , B = , 8 any real number}. (Simplify your answers. Type expressions using 8 as the variable as needed.) O C. There is no possible combination of each type of car that can be produced that meets the criteria

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