Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For First Responders · Cobb-Douglas

Cobb-Douglas for a supply-demand market

Built for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field. Simulate a supply-demand market live below — adjust the inputs and watch it respond, right in your browser.

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.

or unlock everything with Pro →

Also for:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students General version →

More with Cobb-Douglas

Cobb-Douglas for a monopoly Cobb-Douglas for an auction Cobb-Douglas for a tax policy Cobb-Douglas for a trade tariff Cobb-Douglas for an inflation model Cobb-Douglas for a labor market Cobb-Douglas for a game-theory standoff Cobb-Douglas for a price war

Frequently asked questions

Is this good for first responders?: Yes — this version of "Cobb-Douglas for a supply-demand market" is framed for first responders planning or training for real incidents. Run fast what-if scenarios for response planning and training — no software to install in the field.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.