What this is and isn't. The enumeration, the chute band, the shaft bound, the dedup and the scores are the real gates from the scheduling-math ladder (L1–L5), with the machine constants from the plant-truth ledger; the speed model is the measured web-band curve, the short-cutoff haircut and the spread cliff. The master is a greedy cover of the ±10% window, sequenced widest-web-first, standing in for the CBC MIP with Dinkelbach the engine runs, so the schedule is good, not certified optimal. Run lengths follow the engine's L7 bound, r̄ = min over the schema's orders of 1.1·q / sheets-per-foot, and an order that can't be covered is listed, never dropped silently.