Math Problem Statement
If the supply function for a commodity is given by and the dem and function is given by P = -20q + 2500 find the point of market equilibrium.
Solution
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Math Problem Analysis
Mathematical Concepts
Economics
Linear Equations
Market Equilibrium
Formulas
Demand function: P = -20q + 2500
Supply function: P = aq + b (assumed linear form)
Equilibrium condition: Quantity demanded = Quantity supplied, where prices from both functions are equal.
Theorems
Market equilibrium occurs where the supply and demand curves intersect.
Suitable Grade Level
Undergraduate (Economics/Mathematics)
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