Description
Calculate feed=requiredOutput/(yieldFraction*(1-reserveFraction)) and reserve=feed*reserveFraction.
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Calculate feed=requiredOutput/(yieldFraction*(1-reserveFraction)) and reserve=feed*reserveFraction.
When to use this tool
Use Recovery Yield Inverse Feed Budget when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter requiredOutput, yieldFraction, reserveFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read feed, reserve. Use the output convention below.
Calculate feed=requiredOutput/(yieldFraction*(1-reserveFraction)) and reserve=feed*reserveFraction. Require nonnegative output, yield above zero through one, and reserve fraction from zero inclusive to one exclusive.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| requiredOutput | Required Output | Required. Finite number; minimum 0. |
| yieldFraction | Yield Fraction | Required. Finite number; maximum 1; strictly above 0. |
| reserveFraction | Reserve Fraction | Required. Finite number; minimum 0; strictly below 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| feed | Feed | Required. Finite number. |
| reserve | Reserve | Required. Finite number. |
{
"input": {
"requiredOutput": 72,
"yieldFraction": 0.8,
"reserveFraction": 0.1
},
"output": {
"feed": 99.99999999999999,
"reserve": 10
}
}Limitations and assumptions
- Reserve is a fraction of gross feed before yield applies to the nonreserved portion. Factors are supplied assumptions, not measured recovery, safe process design, or an inventory update.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- 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. Signed zero is exported as zero.
Alternative or Complementary methods
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Two Stage Yield Backcalculate Input
Backcalculate afterFirst=output/secondYield and input=afterFirst/firstYield.
- Chained Retention Log Loss Term
Sum natural logarithms of retentionFractions for logRetention and exponentiate for retainedFraction.