Short Answer

Mathematical Basis for a Unique Equilibrium

Consider a market described by the following equations:

  • Demand: Q_d = 500 - 2P
  • Supply: Q_s = 100 + 2P

Where P is the price and Q is the quantity. Without necessarily solving for the exact price, explain mathematically why there can be only one positive price (P) at which the quantity demanded equals the quantity supplied in this market.

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Updated 2025-07-26

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