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Cobb-Douglas Production Function Calculator — result sheet
Calculate output from total-factor productivity, capital, labor, and supplied production elasticities.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Output=A×K^alpha×L^beta; returns-to-scale exponent=alpha+beta.
The elasticity assumptions remain visible so the production model is not mistaken for a forecast of a real organization.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Total-factor productivity A — minimum 0; maximum 1000000
- Capital K — minimum 1.0E-6; maximum 1000000000
- Labor L — minimum 1.0E-6; maximum 1000000000
- Capital elasticity alpha — minimum -10; maximum 10
- Labor elasticity beta — minimum -10; maximum 10
Worked example
| Input | Value |
|---|---|
| Total-factor productivity A | 1 |
| Capital K | 100 |
| Labor L | 50 |
| Capital elasticity alpha | 0.3 |
| Labor elasticity beta | 0.7 |
Output ≈61.5572; returns-to-scale exponent =1.
Assumptions and limits
- A, K, L are positive and elasticities apply to the same period and production definition.
- The Cobb-Douglas form is selected as a teaching model.
- Prices, technology changes, constraints, labor quality, and causal identification are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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