People
It is a mistake to think you can solve any major problems just with potatoes.
— Douglas Adams · Life, the Universe and Everything

Behind the line May contain spoilers.
Our reading
An editorial interpretation.
The joke is in the mismatch: a 'major problem' is huge and weighty, while a potato is about as humble as ingredients get. Stated as a warning, 'it is a mistake' sounds so official that the absurdity lands harder. Some problems, the line insists, simply won't yield to something so ordinary.
Context reviewed