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Irrigation Water Shadow Price Term Tool

Finite local objective change per explicit water increment; the caller establishes feasibility and whether a shadow-price interpretation is valid.

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Description

Return signed water increment and (objectiveAfter-objectiveBefore)/increment.

Farm economic comparisons depend on fixed/variable costs, opportunity-cost assumptions, depreciation, discount periods and explicit payment limits. A partial margin or finite-difference response differs from total profitability or an optimization-derived shadow price. Supplied rates and tax flags do not determine actual obligations.

Return signed water increment and (objectiveAfter-objectiveBefore)/increment.

When to use this tool

Use Irrigation Water Shadow Price Term when checking the stated caller-defined cost, margin, cap, valuation or sensitivity term.

How to use the tool and how it works

  1. Enter objectiveBefore, objectiveAfter, waterBefore, waterAfter. 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 waterIncrement, marginalObjectivePerWater. Use the output convention below.

Require waterAfter!=waterBefore. Return signed water increment and (objectiveAfter-objectiveBefore)/increment.1

Input fieldMeaning and unitsAccepted input
objectiveBeforeObjective BeforeRequired. Finite number.
objectiveAfterObjective AfterRequired. Finite number.
waterBeforeWater BeforeRequired. Finite number.
waterAfterWater AfterRequired. Finite number.
Output fieldInterpretationReturned shape
waterIncrementWater IncrementRequired. Finite number.
marginalObjectivePerWaterFinite difference in supplied objective per water increment, not an optimization-derived dual/shadow price.Required. Finite number.
json
{
  "input": {
    "objectiveBefore": 1000,
    "objectiveAfter": 1200,
    "waterBefore": 100,
    "waterAfter": 150
  },
  "output": {
    "waterIncrement": 50,
    "marginalObjectivePerWater": 4
  }
}

Limitations and assumptions

  • This is a finite-difference objective slope, not an optimization-derived shadow price or validated causal water response.
  • 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 verified budget and suitable economic analysis; consult qualified financial/legal professionals for actual investment, contract or tax decisions.

References

  1. Calculation and input contract: agricultural-economics/irrigation-water-shadow-price-term — tool.io

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