Description
Compare a pilot’s unit price after setup fees with the full unit rate and return its discount or premium.
A startup unit-cost or price comparison needs an explicit denominator and treatment of setup costs, scrap, occupancy and fees. A nominal discount, net unit cost and implied value answer different questions.
Compare a pilot’s unit price after setup fees with the full unit rate and return its discount or premium.
When to use this tool
Use Startup Pilot Price Full Rate Discount when checking a specified unit price, prototype cost or program-price comparison.
How to use the tool and how it works
- Enter fullUnitPrice, pilotUnits, pilotFee, setupFee. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read fullEquivalent, discountFraction, realizedUnitPrice. Use the output convention below.
Require positive fullUnitPrice and pilotUnits and pilotFee >= setupFee >= 0. fullEquivalent = fullUnitPrice*pilotUnits; realizedUnitPrice = (pilotFee-setupFee)/pilotUnits; discountFraction = 1-realizedUnitPrice/fullUnitPrice.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| fullUnitPrice | Full Unit Price | Required. Finite number; strictly above 0. |
| pilotUnits | Pilot Units | Required. Finite number; strictly above 0. |
| pilotFee | Pilot Fee | Required. Finite number. |
| setupFee | Setup Fee | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| fullEquivalent | Full Equivalent | Required. Finite number. |
| discountFraction | Discount Fraction | Required. Finite number. |
| realizedUnitPrice | Realized Unit Price | Required. Finite number. |
{
"input": {
"fullUnitPrice": 100,
"pilotUnits": 20,
"pilotFee": 1500,
"setupFee": 100
},
"output": {
"fullEquivalent": 2000,
"discountFraction": 0.30000000000000004,
"realizedUnitPrice": 70
}
}Limitations and assumptions
- Use currency per unit consistently. A premium pilot yields a negative discount. pilotUnits may be fractional; the setup fee is excluded from the unit-price comparison.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete cost and revenue model when fixed costs, variable yields, market comparability or timing change the interpretation.
References
Similar or alternative tools
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