The headline uses the package per-sq-ft band (Path A) — the way every cost guide quotes the job. The breakdown rebuilds the same price from its parts (Path B): aeration labor, seed material, and starter fertilizer. The two reconcile inside the band at default rates.

Path A (headline):
  priceLow  = max(area × packageRateLow,  jobMinimum)
  priceHigh = max(area × packageRateHigh, jobMinimum)

Path B (breakdown):
  aeration  = area × aerationRate
  seedLbs   = (area / 1000) × seedRate        (overseed / premium)
  seedCost  = seedLbs × seedPrice
  fertBags  = ceil(area / fertCoverage)        (premium only)
  fertCost  = fertBags × fertPrice
  buildUp   = max(aeration + seed + fert, jobMinimum)

Seed bags  = ceil(seedLbs / seedBagWeight)
Sell price = buildUp / (1 − margin)            (optional)

Tier bands default to CountBricks' published ranges (aerate $0.08–0.12, aerate + overseed $0.13–0.18, aerate + premium $0.19–0.27 per sq ft); seed 5–6 lbs/1,000 sq ft, starter fertilizer 1 bag / 5,000 sq ft. The minimum-charge floor follows Homewyse's two-hour-minimum concept so small lawns aren't priced absurdly low. Per-sq-ft bands diverge nearly 2× across sources, so the headline is a range and every rate is editable.

The optional sell price uses margin via division (cost ÷ (1 − margin)), the correct accounting convention — never a naive cost × (1 + markup).

Sources: CountBricks "Cost to Aerate and Overseed Lawn"; Homewyse "Cost to Aerate a Lawn"; LawnStarter "How Much Does Lawn Aeration Cost".