Inventory-stretch via marketing throttle

The problem

The usual question a marketing model answers is "spend more, get more". This is the opposite: stock is running low, the next production run is two weeks away, and the question is how much to slow demand so the shelves don't empty before then.

The reasoning chain

Under the hood

This inverts the same logistic saturation curve the Solver uses forwards — instead of asking "what revenue does this spend produce", it asks "what spend produces this lower demand". The numbers above are precomputed from the synthetic inventory data and the real fitted Meta response curve; nothing here is interactive by design — the value is watching the model reason from a supply constraint to a marketing decision, not fiddling with sliders on inputs a visitor has no real basis to guess at.