Enter your supply function and demand function as linear equations (e.g. Qs = 2P - 4 and Qd = -3P + 26) to find the equilibrium price and equilibrium quantity — the point where supply meets demand. The calculator solves both equations simultaneously and shows you the exact market-clearing values.
Equilibrium Price (P*)
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Equilibrium Quantity (Q*)
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Supply at Equilibrium
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Demand at Equilibrium
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An Equilibrium Point Calculator finds the price and quantity at which the supply and demand for a good are exactly equal. You input the coefficients of linear supply and demand equations, and the calculator solves them simultaneously to give you the equilibrium price (P*) and equilibrium quantity (Q*).
Enter the slope and intercept for your supply function (Qs = aP + b) and your demand function (Qd = cP + d). The calculator sets Qs equal to Qd and solves for P to find the equilibrium price, then substitutes back to find the equilibrium quantity.
Equilibrium is the state where the quantity of a good supplied by producers equals the quantity demanded by consumers at a given price. At this point, there is no pressure for the price to change — the market clears with no surplus or shortage.
Knowing the equilibrium point helps businesses set optimal prices, helps economists analyze market efficiency, and allows policymakers to understand the impact of taxes, subsidies, or price controls. It is the benchmark price a competitive market naturally moves toward.
The demand curve represents the relationship between price and the quantity consumers are willing to buy. It typically slopes downward — as price increases, the quantity demanded decreases. In a linear model, it is expressed as Qd = cP + d, where c is usually negative.
The supply curve shows the relationship between price and the quantity producers are willing to supply. It typically slopes upward — as price rises, suppliers are willing to offer more. In a linear model, it is expressed as Qs = aP + b, where a is usually positive.
If the slopes of the supply and demand functions are identical (a = c), the two lines are parallel and never intersect, meaning there is no equilibrium point. The calculator will alert you to this condition — it indicates the market cannot reach a stable price under those assumptions.
Mathematically, the solver can return a negative value if the input coefficients are set in an unusual way. In a real economic context, negative prices and quantities are not meaningful, so you should review your supply and demand coefficients to ensure they correctly represent the market you are modelling.