How do I simulate a minimum wage?

Open this page and use the live Cobb-Douglas tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a minimum wage from your own measurements.

Use case · powered by Cobb-Douglas

Cobb-Douglas for a minimum wage

Simulate a minimum wage live in your browser. This runs the real Cobb-Douglas solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Cobb-Douglas ProductionLive

optimal input mix

Controls

Presets

Capital share α

Budget

Capital rental r

Wage w

The Cobb-Douglas function Q = A·Kᵅ·L¹⁻ᵅ describes how capital and labor combine to make output. Isoquants show input mixes yielding the same output; the budget line shows what you can afford. Production is maximized where the budget line just touches the highest isoquant — the cost-minimizing input mix, splitting spending by the exponents.

▶ Run in Python

Data Inspector

Optimal capital K12.5

Optimal labor L16.7

Output Q14.4

Governing equation

Q = A K^{0.50} L^{0.50} = 14.4, K^{*} = \frac{α B}{r} = 12.5, L^{*} = \frac{( 1 - α ) B}{w} = 16.7

Reading this result: Cost-minimizing plan spends 50% of the budget on capital and 50% on labor — the exponents fix these shares no matter what r and w are; prices only change how many units of each that money buys.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Cobb-Douglas tool models a minimum wage with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Cobb-Douglas

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Other ways to simulate a minimum wage

Supply & Demand for a minimum wage Price Elasticity for a minimum wage Monopoly Pricing for a minimum wage Lorenz & Gini for a minimum wage Laffer Curve for a minimum wage Comparative Advantage for a minimum wage

Frequently asked questions

How do I simulate a minimum wage?: Open this page and use the live Cobb-Douglas tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a minimum wage from your own measurements.