Fictional worked example

Investigate the residual from a higher electricity block

A statement charges 0.20 for the first 300 kWh and 0.35 for additional units. Using the first-block rate as a flat reference leaves the extra tier charge in the Detective’s residual.

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Inputs and calculation

280 kWh versus 340 kWh
Tool inputValue
CurrencyUSD
UtilityElectricity (kWh)
Previous usage280
Current usage340
Previous flat rate (USD/unit)0.2
Current flat rate (USD/unit)0.2
Previous bill (USD)66
Current bill (USD)84

Usage: (340 − 280) × 0.2 = 12. Rate: 340 × (0.2 − 0.2) = 0. Actual bill difference: 84 − 66 = 18. Residual: 18 − (12 + 0) = 6. All effects are in USD.

Tool result · USD 18.00

Stay within the first block
Tool inputValue
CurrencyUSD
UtilityElectricity (kWh)
Previous usage280
Current usage300
Previous flat rate (USD/unit)0.2
Current flat rate (USD/unit)0.2
Previous bill (USD)66
Current bill (USD)70

Usage: (300 − 280) × 0.2 = 4. Rate: 300 × (0.2 − 0.2) = 0. Actual bill difference: 70 − 66 = 4. Residual: 4 − (4 + 0) = 0. All effects are in USD.

Tool result · USD 4.00

What the comparison shows

The separately known schedule explains the residual: 40 × (0.35 − 0.20) = 6. This conclusion relies on the tariff, not on the residual alone.

Assumptions and limits

The Detective uses flat-rate decomposition. Rebuild the statement with the bill calculator to model tiers directly.

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