A company makes rugs in two sizes. A small size rug requires 2 hours for dyeing and 4 hours for knotting. A medium size rug requires 3 hours for dyeing and 6 hours for knotting. The company's dyeing unit cannot work for more than 40 hours in a week, and the knotting unit cannot work for more than 50 hours in week. Let S represent the number of small size rugs that the company can manufacture in a week and M represent the number of medium size rugs that the company can manufacture in a week. Which of the following statements best explains whether the company will be able to make 12 small size r

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