Linear Demand Function
\[Q_d=a-bP\]

Variables

Qdquantity demanded
Pprice
ademand intercept
bdemand slope coefficient

Description

What is this formula?


The Linear Demand Function models the relationship between price and quantity demanded using a straight-line demand curve.


It assumes that quantity demanded decreases linearly as price increases.


When to use it


Use this formula in introductory and intermediate microeconomics, market analysis, pricing models, and equilibrium calculations.


Example


Demand intercept:


a = 1000


Demand slope:


b = 20


Price:


P = 15 USD


Formula:


Qd = a − bP


Substitution:


Qd = 1000 − (20 × 15)


Qd = 700 units


Result:


At a price of 15 USD, consumers demand 700 units.


Applications


- Demand estimation

- Market equilibrium analysis

- Consumer behavior studies

- Economic education

- Pricing strategy


Note


The linear demand function is a simplified model. Real-world demand curves may be nonlinear and influenced by income, preferences, expectations, and the prices of related goods. However, the linear form remains one of the most widely used demand models in economics.

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