PPolySim OS
Operations & Economics Pack · Multi-Solver

Market Equilibrium Lab

Supply, demand, tax. This multi-solver chains 3 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps
  1. supply-demand
  2. elasticity
  3. laffer-curve
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1

Supply Demand

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Supply & DemandLive

Controls

Presets

Where the downward demand curve crosses the upward supply curve, the market clears: that price and quantity are the equilibrium. Shifting either curve moves it. The shaded triangles are consumer and producer surplus — the total gains from trade. A per-unit tax lifts the supply curve, raising price, cutting quantity, and creating deadweight loss.

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Data Inspector

Equilibrium price$60.0
Equilibrium qty40.0
Consumer surplus800
Producer surplus800

Governing equation

Reading this result: At the free-market equilibrium of $60.0, 40.0 units clear and the combined surplus (1600) is maximized.

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

Price Elasticity of DemandLive

Controls

Presets

Elasticity measures how much quantity demanded responds to price. Where demand is elastic (|E| > 1), a price cut raises total revenue; where it is inelastic, a price cut lowers revenue. On a straight-line demand curve the top half is elastic, the bottom half inelastic, and revenue peaks exactly at the midpoint where elasticity equals one.

▶ Run in Python

Data Inspector

Quantity50.0
Elasticity-1.00
Typeunit
Revenue$2500

Governing equation

Reading this result: You are at the unit-elastic midpoint: revenue is at its maximum, and small price moves in either direction leave it roughly unchanged.

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

Laffer CurveLive

Controls

Presets

At a 0% tax rate the government collects nothing; at 100% no one bothers to earn taxable income, so it also collects nothing. Somewhere between lies a revenue-maximizing rate — the peak of the Laffer curve. How responsive people are to taxes (the elasticity) sets where that peak falls. It is descriptive, not a policy prescription.

▶ Run in Python

Data Inspector

Revenue at rate0.278
Revenue-max rate55%
Zonebelow peak

Governing equation

Reading this result: Below the revenue-maximizing rate (≈55%) — the base is still large, so a modest rate increase collects more.

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

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Frequently asked questions

What is the Market Equilibrium Lab multi-solver?
Market Equilibrium Lab is a guided workflow that chains 3 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?
Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.