Question

A recycling company recycles wet and dry wastes. In a week, each ton of dry waste takes 35 hours for collection and 55 hours for processing. Each ton of wet waste takes 42 hours for collection and 63 hours for processing. The company's collection workforce can work for maximum 150 hours in a week and the processing machine can work for maximum 200 hours in a week. Let D represent the number of tons of dry waste that the company can recycle in a week and W represent the number of tons of wet waste that the company can recycle in a week.

Answer 1

Which of the following statements best explains whether the company will be able to recycle 3 tons of dry waste and 2 tons of wet waste in a week?

Answer 2

The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 63W ≤ 200 and 55D + 42W ≤ 150.

The company will be able to recycle these wastes in a week because of the system restrictions of 35D + 55D ≤ 150 and 42W + 63W ≤ 200.

The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 200 and 55D + 63W ≤ 150.

The company will not be able to recycle these wastes in a week because of the system restrictions of 35D + 42W ≤ 150 and 55D + 63W ≤ 200.

Answer 3

@hoblos sorry to ask for your help again, can you help me with this one? it will be the last one i promise!

Answer 4

each ton of dry waste takes 35 hours for collection
Each ton of wet waste takes 42 hours for collection
collection workforce can work for maximum 150 hours in a week

thus 35D + 42W ≤ 150

each ton of dry waste takes 55 hours for processing
Each ton of wet waste takes 63 hours for processing
processing machine can work for maximum 200 hours in a week

can you try this one ?

Answer 5

so that would be 55D + 63W ≤ 200?

Answer 6

yes correct :D

Answer 7

ohh ok so the answer is D

Answer 8

yes it's D

Answer 9

thank you again!

Answer 10

you're welcome
and you can ask whenever you need :)