Explains compound growth of volume over a planning horizon
Volume growing by the same percentage each period grows by the factor (1 + p) per period, (1 + p)^n over n periods - not by n times p; the horizon covers lead time and platform life.
Can AI do this?
Not settled yet The benchmark tested this, but the models' answers do not settle yet whether they master it. 0 of 4 models in the current benchmark master it.
| Model | Tier | Probability of mastery | Status |
|---|---|---|---|
| gemini-4-argon | Flagship | 85% | Not shown |
| gemini-3.5-flash-lite | Low cost | 84% | Not shown |
| gpt-6-luna | Low cost | 82% | Not shown |
| claude-haiku-5-5 | Low cost | 84% | Not shown |
Mastered means a probability of at least 90% that the model has this knobit, estimated from its graded answers. “Not shown” means the answers do not settle it either way. How the models are tested.
What it looks like in practice
Expected result: Volume at the horizon as current volume times (1 + p)^n, told apart from simple growth
How it is assessed: Projects a volume over several periods with the compound factor and tells it from simple growth
Related knobits
Builds on
Needed for
All 15 knobits of Plan environments and capacity.
Source: Part B candidate of k12-dmbok for activity OO-2 (a need for school knowledge no knobit of the activity reached), accepted by Peep Küngas on 31 Oct 2026