For the San Francisco, CA metro area (which in their model includes Menlo Park, where the family lives), they estimate that this "modest yet adequate" standard of living would cost ~$116K per year, inclusive of housing, food, child care, transportation, health care, other necessities and taxes. Even removing housing from the equation ($32K), that leaves about $85K to meet a basic family budget. So I think that their experience that their income is a real stretch to meet basic needs is not so far from reality as you might conjecture.
Also, mind that poverty has a role in poor economic decisions (payday loans being one of them).
https://www.theatlantic.com/business/archive/2013/11/your-br...
(edit: added some extra info)