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 ru

Question

anonymous · Answer

and 5 medium size rugs in a week?

anonymous · Answer

The company will not be able to make these numbers in a week because of the system restrictions of 2S + 3M ≤ 40 and 4S + 6M ≤ 50.

 The company will be able to make these numbers in a week because of the system restrictions of 2S + 4S ≤ 40 and 3M + 6M ≤ 50.

 The company will be able to make these numbers in a week because of the system restrictions of 4S + 3M ≤ 40 and 2S + 6M ≤ 50.

 The company will not be able to make these numbers in a week because of the system restrictions of 2S + 3S ≤ 40 and 4M + 6M ≤ 50.

anonymous · Answer

help please