A 25% rolldown trap: 22.66 tons quoted for 1,000 sq ft at 3 in
Quoted tonnage vs the compacted quantity: +25% vs 18.13 net tons
- Net tons your scope requires: 1,000 sq ft × (3 in ÷ 12) × 145 lb/ft³ ÷ 2000 = 18.13 tons
- Quote ÷ net: 22.66 ÷ 18.13 = 1.25 : 1 (+25%)
- Allowance basis (the only defensible uplift): 18.13 × (1 + 5/100) = 19.03 tons
- Loose-mat basis (what the rolldown trap looks like): 18.13 × (1 + 25/100) = 22.66 tons
- Rolled down again on top of the allowance: 19.03 × (1 + 25/100) = 23.79 tons
- Implied price per ton in the quote: $3,200 ÷ 22.66 tons = $141.22/ton
- Cost of the tonnage above the allowance line: (22.66 − 19.03) × $141.22 = $512.44
- Rate per square foot actually in the ground: $3,200 ÷ 1,000 sq ft = $3.2/sq ft