Roof area: 2000
Roof squares: 20
Metal install (per roof): $18,000.00
Asphalt install (per roof): $9,000.00
Metal roofs in 30 years: 1
Asphalt roofs in 30 years: 2
Metal lifetime total: $18,000.00
Asphalt lifetime total: $18,000.00
Lifetime gap: $0.00
Lifetime winner: tie
Break-even year: never within the horizon
Metal cost per year of service: $360.00
Asphalt cost per year of service: $450.00
Verdict: Over 30 years the two roofs cost exactly the same — $18,000.00 each: 1 metal roof against 2 asphalt roofs. The metal roof never pulls ahead within the horizon.
2,000 sq ft, headline defaults: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon)
Metal saves $150/yr on energy: Metal $13,500.00 vs asphalt $18,000.00 over 30 years; metal wins by $4,500.00 (break-even year 21)
Asphalt $550/sq: Metal $18,000.00 vs asphalt $22,000.00 over 30 years; metal wins by $4,000.00 (break-even year 21)
Metal $800/sq: Metal $16,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $2,000.00 (break-even year 21)
20-year horizon: Metal $18,000.00 vs asphalt $9,000.00 over 20 years; asphalt wins by $9,000.00 (never ahead within the horizon)
50-year horizon: Metal $18,000.00 vs asphalt $27,000.00 over 50 years; metal wins by $9,000.00 (break-even year 41)
Asphalt lifespan 30 years: Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon)
Metal saves $100/yr on insurance: Metal $15,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $3,000.00 (break-even year 21)
Asphalt maintenance $200/yr: Metal $18,000.00 vs asphalt $24,000.00 over 30 years; metal wins by $6,000.00 (break-even year 21)
3,000 sq ft roof: Metal $27,000.00 vs asphalt $27,000.00 over 30 years; tie at $27,000.00 (never ahead within the horizon)
Reverse: Largest whole metal price ($/sq) for metal to win over 30 years: 899
Reverse: Largest whole metal price ($/sq) for metal to win over 30 years (rounded): 899
At 899 the figures are: Metal $17,980.00 vs asphalt $18,000.00 over 30 years; metal wins by $20.00 (break-even year 21)
At the lower neighbor the figures are: Metal $17,960.00 vs asphalt $18,000.00 over 30 years; metal wins by $40.00 (break-even year 21)
At the upper neighbor the figures are: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon)
Reverse verdict: STEP
Reverse: Smallest whole annual energy saving ($/yr) for metal to win: 1
Reverse: Smallest whole annual energy saving ($/yr) for metal to win (rounded): 1
At 1 the figures are: Metal $17,970.00 vs asphalt $18,000.00 over 30 years; metal wins by $30.00 (break-even year 21)
At the lower neighbor the figures are: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon)
At the upper neighbor the figures are: Metal $17,940.00 vs asphalt $18,000.00 over 30 years; metal wins by $60.00 (break-even year 21)
Reverse verdict: STEP
Reverse: Smallest whole horizon (years) for metal to win: 41
Reverse: Smallest whole horizon (years) for metal to win (rounded): 41
At 41 the figures are: Metal $18,000.00 vs asphalt $27,000.00 over 41 years; metal wins by $9,000.00 (break-even year 41)
At the lower neighbor the figures are: Metal $18,000.00 vs asphalt $18,000.00 over 40 years; tie at $18,000.00 (never ahead within the horizon)
At the upper neighbor the figures are: Metal $18,000.00 vs asphalt $27,000.00 over 42 years; metal wins by $9,000.00 (break-even year 41)
Reverse verdict: STEP
Reverse: Largest whole asphalt price ($/sq) for asphalt to still win over 30 years: 449
Reverse: Largest whole asphalt price ($/sq) for asphalt to still win over 30 years (rounded): 449
At 449 the figures are: Metal $18,000.00 vs asphalt $17,960.00 over 30 years; asphalt wins by $40.00 (never ahead within the horizon)
At the lower neighbor the figures are: Metal $18,000.00 vs asphalt $17,920.00 over 30 years; asphalt wins by $80.00 (never ahead within the horizon)
At the upper neighbor the figures are: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon)
Reverse verdict: STEP
Reverse: Smallest whole asphalt lifespan (years) for asphalt to win over 30 years: 30
Reverse: Smallest whole asphalt lifespan (years) for asphalt to win over 30 years (rounded): 30
At 30 the figures are: Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon)
At the lower neighbor the figures are: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon)
At the upper neighbor the figures are: Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon)
Reverse verdict: STEP
Reverse: Largest whole horizon (years) for asphalt to win: 60
Reverse: Largest whole horizon (years) for asphalt to win (rounded): 60
At 60 the figures are: Metal $36,000.00 vs asphalt $27,000.00 over 60 years; asphalt wins by $9,000.00 (never ahead within the horizon)
At the lower neighbor the figures are: Metal $36,000.00 vs asphalt $27,000.00 over 59 years; asphalt wins by $9,000.00 (never ahead within the horizon)
At the upper neighbor the figures are: Metal $36,000.00 vs asphalt $36,000.00 over 61 years; tie at $36,000.00 (never ahead within the horizon)
Reverse verdict: STEP
Edge: Roof area 0 sq ft: Roof area — more than 0 square feet.
Edge: Roof area −100 sq ft (negative): Roof area — more than 0 square feet.
Edge: Negative metal price: Installed prices cannot be negative.
Edge: Asphalt lifespan 0 years: Lifespans — more than 0 years.
Edge: Horizon 0 years: Horizon — more than 0 years.
Edge: Metal lifespan 10 years (shorter than the horizon): Metal $54,000.00 vs asphalt $18,000.00 over 30 years; asphalt wins by $36,000.00 (never ahead within the horizon)
Edge: 1-year horizon: Metal $18,000.00 vs asphalt $9,000.00 over 1 year; asphalt wins by $9,000.00 (never ahead within the horizon)
Edge: 100 sq ft roof (1 square): Metal $900.00 vs asphalt $900.00 over 30 years; tie at $900.00 (never ahead within the horizon)
Edge: Metal $1,200/sq: Metal $24,000.00 vs asphalt $18,000.00 over 30 years; asphalt wins by $6,000.00 (never ahead within the horizon)
Edge: Metal saves $500/yr on energy: Metal $3,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $15,000.00 (break-even year 19)
Edge: 100-year horizon: Metal $36,000.00 vs asphalt $45,000.00 over 100 years; metal wins by $9,000.00 (break-even year 81)
2,000 sq ft, headline defaults: Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon).
Metal saves $150/yr on energy: Metal $13,500.00 vs asphalt $18,000.00 over 30 years; metal wins by $4,500.00 (break-even year 21).
Asphalt $550/sq: Metal $18,000.00 vs asphalt $22,000.00 over 30 years; metal wins by $4,000.00 (break-even year 21).
Metal $800/sq: Metal $16,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $2,000.00 (break-even year 21).
20-year horizon: Metal $18,000.00 vs asphalt $9,000.00 over 20 years; asphalt wins by $9,000.00 (never ahead within the horizon).
50-year horizon: Metal $18,000.00 vs asphalt $27,000.00 over 50 years; metal wins by $9,000.00 (break-even year 41).
Asphalt lifespan 30 years: Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon).
Metal saves $100/yr on insurance: Metal $15,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $3,000.00 (break-even year 21).
Asphalt maintenance $200/yr: Metal $18,000.00 vs asphalt $24,000.00 over 30 years; metal wins by $6,000.00 (break-even year 21).
3,000 sq ft roof: Metal $27,000.00 vs asphalt $27,000.00 over 30 years; tie at $27,000.00 (never ahead within the horizon).
Reverse: The Largest whole metal price ($/sq) for metal to win over 30 years is 899; at 899 the figures are Metal $17,980.00 vs asphalt $18,000.00 over 30 years; metal wins by $20.00 (break-even year 21); at the lower neighbor the figures are Metal $17,960.00 vs asphalt $18,000.00 over 30 years; metal wins by $40.00 (break-even year 21); at the upper neighbor the figures are Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon) — verdict: STEP. Reverse: The Smallest whole annual energy saving ($/yr) for metal to win is 1; at 1 the figures are Metal $17,970.00 vs asphalt $18,000.00 over 30 years; metal wins by $30.00 (break-even year 21); at the lower neighbor the figures are Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon); at the upper neighbor the figures are Metal $17,940.00 vs asphalt $18,000.00 over 30 years; metal wins by $60.00 (break-even year 21) — verdict: STEP. Reverse: The Smallest whole horizon (years) for metal to win is 41; at 41 the figures are Metal $18,000.00 vs asphalt $27,000.00 over 41 years; metal wins by $9,000.00 (break-even year 41); at the lower neighbor the figures are Metal $18,000.00 vs asphalt $18,000.00 over 40 years; tie at $18,000.00 (never ahead within the horizon); at the upper neighbor the figures are Metal $18,000.00 vs asphalt $27,000.00 over 42 years; metal wins by $9,000.00 (break-even year 41) — verdict: STEP. Reverse: The Largest whole asphalt price ($/sq) for asphalt to still win over 30 years is 449; at 449 the figures are Metal $18,000.00 vs asphalt $17,960.00 over 30 years; asphalt wins by $40.00 (never ahead within the horizon); at the lower neighbor the figures are Metal $18,000.00 vs asphalt $17,920.00 over 30 years; asphalt wins by $80.00 (never ahead within the horizon); at the upper neighbor the figures are Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon) — verdict: STEP. Reverse: The Smallest whole asphalt lifespan (years) for asphalt to win over 30 years is 30; at 30 the figures are Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon); at the lower neighbor the figures are Metal $18,000.00 vs asphalt $18,000.00 over 30 years; tie at $18,000.00 (never ahead within the horizon); at the upper neighbor the figures are Metal $18,000.00 vs asphalt $9,000.00 over 30 years; asphalt wins by $9,000.00 (never ahead within the horizon) — verdict: STEP. Reverse: The Largest whole horizon (years) for asphalt to win is 60; at 60 the figures are Metal $36,000.00 vs asphalt $27,000.00 over 60 years; asphalt wins by $9,000.00 (never ahead within the horizon); at the lower neighbor the figures are Metal $36,000.00 vs asphalt $27,000.00 over 59 years; asphalt wins by $9,000.00 (never ahead within the horizon); at the upper neighbor the figures are Metal $36,000.00 vs asphalt $36,000.00 over 61 years; tie at $36,000.00 (never ahead within the horizon) — verdict: STEP.
Edges: Roof area 0 sq ft gives Roof area — more than 0 square feet.. Roof area −100 sq ft (negative) gives Roof area — more than 0 square feet.. Negative metal price gives Installed prices cannot be negative.. Asphalt lifespan 0 years gives Lifespans — more than 0 years.. Horizon 0 years gives Horizon — more than 0 years.. Metal lifespan 10 years (shorter than the horizon) gives Metal $54,000.00 vs asphalt $18,000.00 over 30 years; asphalt wins by $36,000.00 (never ahead within the horizon). 1-year horizon gives Metal $18,000.00 vs asphalt $9,000.00 over 1 year; asphalt wins by $9,000.00 (never ahead within the horizon). 100 sq ft roof (1 square) gives Metal $900.00 vs asphalt $900.00 over 30 years; tie at $900.00 (never ahead within the horizon). Metal $1,200/sq gives Metal $24,000.00 vs asphalt $18,000.00 over 30 years; asphalt wins by $6,000.00 (never ahead within the horizon). Metal saves $500/yr on energy gives Metal $3,000.00 vs asphalt $18,000.00 over 30 years; metal wins by $15,000.00 (break-even year 19). 100-year horizon gives Metal $36,000.00 vs asphalt $45,000.00 over 100 years; metal wins by $9,000.00 (break-even year 81).