Market Equilibrium Price
\[P_e=\frac{a-c}{b+d}\]

Variables

Peequilibrium price
ademand intercept
bdemand slope coefficient
csupply intercept
dsupply slope coefficient

Description

What is this formula?


Market Equilibrium Price calculates the price at which quantity demanded equals quantity supplied.


At this price, the market clears and there is neither excess demand nor excess supply.


When to use it


Use this formula when analyzing competitive markets, pricing mechanisms, and supply-demand equilibrium.


It is derived from the intersection of the linear demand function:


Qd = a − bP


and the linear supply function:


Qs = c + dP


Example


Demand:


Qd = 1000 − 20P


Supply:


Qs = 200 + 30P


Formula:


Pe = (a − c)/(b + d)


Substitution:


Pe = (1000 − 200)/(20 + 30)


Pe = 800/50


Pe = 16 USD


Result:


The market equilibrium price is 16 USD.


Applications


- Market equilibrium analysis

- Price determination

- Economic education

- Policy evaluation

- Business planning


Note


This formula assumes linear supply and demand functions. Real markets may exhibit nonlinear relationships, externalities, taxes, quotas, or imperfect competition that alter the equilibrium outcome.

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