Theory

General Model of Linear Demand and Supply Functions

A foundational method for analyzing market behavior involves representing demand and supply with linear equations. The direct demand function is given by QD=abPQ^D = a - bP, and the direct supply function is QS=c+dPQ^S = c + dP. In this model, a,b,c,a, b, c, and dd are assumed to be positive constants. The conditions b>0b > 0 and d>0d > 0 ensure the standard downward slope of the demand curve and the upward slope of the supply curve, respectively. Furthermore, the condition that a>ca > c is also assumed. Together, these constraints guarantee the existence of a single market equilibrium with a positive price (PP^*) and a positive quantity (QQ^*).

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Updated 2026-05-02

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