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Fertilizer Price Nutrient Unit Basis

Convert a supplied fertilizer product-unit price to the same mass unit of nutrient using an explicit positive nutrient fraction.

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Description

Calculate supplied product price per nutrient-mass unit.

Farm economic terms require explicit cost scope, subsidy treatment, price-index bases, moisture conventions and period rates. A partial input cost per output differs from total economic cost, while an insurance scenario excludes unsupplied policy limits. A nominal margin is conditional on supplied amounts and assumptions.

Calculate supplied product price per nutrient-mass unit.

When to use this tool

Use Fertilizer Price Nutrient Unit Basis when you already have pricePerProductUnit, nutrientMassFraction and need to calculate supplied product price per nutrient-mass unit.

How to use the tool and how it works

  1. Enter pricePerProductUnit, nutrientMassFraction. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read pricePerNutrientUnit. Use the output convention below.

Require price>=0 and nutrientMassFraction in (0,1]; divide product-unit price by the fraction.1

Input fieldMeaning and unitsAccepted input
pricePerProductUnitPrice Per Product UnitRequired. Finite number; minimum 0.
nutrientMassFractionNutrient mass/product mass in (0,1], on the stated elemental or oxide reporting basis; not percent.Required. Finite number; maximum 1; strictly above 0.
Output fieldInterpretationReturned shape
pricePerNutrientUnitPrice Per Nutrient UnitRequired. Finite number.
json
{
  "input": {
    "pricePerProductUnit": 300,
    "nutrientMassFraction": 0.5
  },
  "output": {
    "pricePerNutrientUnit": 600
  }
}

Limitations and assumptions

  • Fraction is nutrient mass/product mass, not percent; nutrient and product unit definitions must match the reported elemental/oxide basis. No composition, efficacy, suitable fertilizer or legal label is verified.
  • 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

Reconcile actual farm accounts, contracts, policy terms and forecasts. Use complete cost, risk and valuation methods when local per-unit terms or scenarios cannot establish profitability, obligations or appropriate financial decisions.

References

  1. Calculation and input contract: agricultural-economics/fertilizer-price-nutrient-unit-basis — tool.io

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