I've just, out of interest, gone on MSE to see what benefits are available.
that seems a very curious and unusual combination of circumstances.
I wonder why you chose something so improbable.
Please let me know why it is improbable (genuinely curious)...(my wife once worked for a couple with two such kids, on whom the hypothetical circumstances were based)
So you chose a couple who met some of the circumstances that would entitle them to the most benefits, then you invented a very modestly low wage to conveniently prove that it was possible for a couple to be working, with children, on the minimum wage (albeit, they would be on an hourly wage, so they would be paid extra for the extra hours worked) would pay about the same in contributions as they receive in benefits?The circumstances, while improbable to your mind, were in operation (albeit I was not privy to their salaries).