Do I need to install anything?

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

For K-12 Students · Learning Curve

Learning Curve for a palletizer

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a palletizer live below — adjust the inputs and watch it respond, right in your browser.

Learning CurveLive

practice makes cheaper

Controls

Presets

First unit cost ($)

Learning rate (%)

Cumulative units

Every time cumulative production doubles, the cost per unit falls by a fixed percentage — the learning curve. An 80% curve means the 200th unit costs 80% of the 100th. This steady, predictable decline, first seen in aircraft manufacturing, drives the falling prices of everything from solar panels to microchips, and underpins production planning and pricing.

▶ Run in Python

Data Inspector

Cost of unit N$22.7

Learning rate80%

Cost reduction77%

Governing equation

C_{n} = C_{1} n^{- b}, b = - lo g_{2} (0.80) = 0.322

Reading this result: An 80% curve means every doubling of output trims 20% off the unit cost — so by unit 100 you are paying about $23, a 77% drop from the first unit. Lower rates bend the curve down faster.

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 First Responders General version →

More with Learning Curve

Learning Curve for a CNC part Learning Curve for an assembly line Learning Curve for an injection mold Learning Curve for a 3D print Learning Curve for a welding cell Learning Curve for a paint booth Learning Curve for a packaging line Learning Curve for a bottling plant

Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Learning Curve for a palletizer" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.