Four synthetic audiences’ frequency reports, each with its truth built in. The method fits the curve, checks it bends more than chance would, and reads the cap off your own economics: what an impression costs you and what a sale is worth. Move those and the cap moves. Pick the flat audience and watch it refuse. Below, the second question: how fast an audience spends itself, and how long it stays worth keeping. Synthetic data throughout.
One audience’s buyers: what share of them will ever buy, and how their buying is spread over the days after joining. The half-life is the age by which half of the eventual buyers have bought. The membership window uses the economics above and a serving cost per person per day.
Self-check: running…