Question

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 rugs and 5 medium size rugs in a week?

A. 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.

B. 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.

C. 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.

D. 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.

Answer 1

I'm sorry i'm confused on this one

Answer 2

a

Answer 3

can u explain srry :/ I just don't want to get it wrong cuse this is my module test :/

Answer 4

ok. what is this? Algebra 1,...?

Answer 5

yea it module 5 part 1 test

Answer 6

flvs?

Answer 7

yea (:

Answer 8

i did that, but i didn't have this specific answer, i checked.

Answer 9

oh ok

Answer 10

2S + 3M ≤ 40
plug in #'s for S and M
2(12)+3(5)=39
first one is good... 39 ≤ 40

4S + 6M ≤ 50
plug in #'s for S and M
4(12)+6(5)=78
incorrect... 78 ≤ 50

s is small
m is medium

Answer 11

does this make sense?

Answer 12

yea (: ty :D

Answer 13

yw. any more q?

Answer 14

wait can u help with with the rest im sorry :/ I just really got 2 get it done

Answer 15

ok :)

Answer 16

gtg bbl sorry