If you're a family with only one providing parent, you should NOT get PA
I have a former coworker who quit a great-paying job last year to stay at home with his four kids while his wife provides for the family. I just caught up with him yesterday and it turns out they're applying for PA because apparently they can't feed their kids. I didn't say anything, because I didn't feel like he was asking my opinion and I do not, contrary to popular belief, make a habit of minding other people's business, but I think this is all shades of wrong.
I have no problem with one parent staying at home, if it works for your family and you can afford it. However, if you choose to stay at home when you could work, you don't get to complain about not being to afford your life and should NOT get PA. What you should do is go find a damn job and maybe you won't have that problem anymore. I don't pay enough to feed a small country in taxes so that people who are perfectly capable of providing for themselves could sit around with the kids they can't afford.
For the last time, no part of this post refers to single parents. Or any people who are doing all they can and still need assistance, for that matter.
ETA in regard to the specific situation: I called my friend, told him flat out and in detail what I'm working on and what I'm hoping to achieve with it, offered him the job. He didn't accept, per se, but he didn't turn it down yet. He said he would think about it.