Price controls? No. But do examine the inputs to pricing.

[Xolodno]

4. Correct.

Also having an input under the micro-scope, would also discover price fixing schemes and collusion. Using your farm example, its happened before:

https://en.wikipedia.org/wiki/Lysine_price-fixing_conspiracy

Could have a cost of an input gone up? Sure. But don't count out criminal behavior either by people who think they could get away with it.