It would be : The mother was unable to provide for their needs. Implicit meaning implied.
It would not be the others because what if she didn’t have resources to start a fire? It said room not building, and by having the children smiling, they did not resent her.
I'll answer the "what is scarcity" question for you.
Scarcity is when all of the markets or stores in a specific area begin to run dangerously low on a highly sought after resource.
Well thats kinda hard because it doesn't give u that much hints