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.

Question

anonymous · Answer

Which of the following statements best explains whether the company will be able to make 12 small size rugs and 5 medium size rugs in a week?

 The company will not be able to make these numbers in a week because of the system restrictions of 2S + 3M greater than or equal to 40 and 4S + 6M less than or equal to 50.
 The company will be able to make these numbers in a week because of the system restrictions of 2S + 4S greater than or equal to 40 and 3M + 6M less than or equal to 50.
 The company will be able to make these numbers in a week because of the system restrictions of 4S + 3M greater than or equal to 40 and 2S + 6M less than or equal to 50.
 The company will not be able to make these numbers in a week because of the system restrictions of 2S + 3S greater than or equal to 40 and 4M + 6M less than or equal to 50.