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AP MicroeconomicsSupply & Demand

Market Equilibrium

What is Market Equilibrium?

Market equilibrium occurs when quantity demanded equals quantity supplied at a given price.

In a market, equilibrium is reached when the quantity consumers want to buy matches the quantity producers want to sell. At the equilibrium price, there is no shortage or surplus in the market. The market is efficient, and there is no pressure for the price to change.

Market Equilibrium: a worked example

Suppose the market for a phone case has Qd = 120 - 4P and Qs = 20 + 6P, with P in dollars and Q in thousands of units. Equilibrium requires Qd = Qs, so 120 - 4P = 20 + 6P. Adding 4P to both sides and subtracting 20 gives 100 = 10P, so P = $10. Substituting back, Qd = 120 - 4(10) = 80 and Qs = 20 + 6(10) = 80, which confirms the answer. Test a price of $8: Qd = 120 - 32 = 88 while Qs = 20 + 48 = 68, a shortage of 20 thousand units that bids the price up. Test $12: Qd = 72 and Qs = 92, a surplus of 20 thousand that pushes the price down. Only $10 clears the market.

The mistake students make with market equilibrium

The tempting move on algebra questions is equating two expressions written in different variables, pushing Qd = 120 - 4P straight against an inverse supply curve written as P = c + dQ because both have an equals sign. Put both curves in the same form first, either both as Q in terms of P or both as P in terms of Q, and only then set them equal. The second slip is stopping at the price and never substituting back, so the answer never reports an equilibrium quantity. A third is reading equilibrium as a claim that everyone is satisfied. Clearing the market and satisfying everyone are separate ideas.

Market Equilibrium questions

How do you find equilibrium price and quantity algebraically?

Set quantity demanded equal to quantity supplied and solve for price, then substitute that price back into either equation to get the quantity. Both equations must be in the same form first, so convert P = f(Q) into Q = f(P) when the two are mismatched. Verify by plugging the price into the equation you did not use, since the two quantities should come out identical.

What pushes a market back to equilibrium?

Prices do the work. Below equilibrium, buyers outnumber the units on offer, so unfilled buyers bid the price up, which trims quantity demanded and draws out more quantity supplied. Above equilibrium, sellers sit on unsold stock and cut the price to move it, which raises quantity demanded and discourages production. Adjustment stops only at the price where the two quantities are equal.

Does market equilibrium mean the outcome is fair?

Equilibrium means only that quantity demanded equals quantity supplied, so no buyer or seller has a reason to change behavior at that price. In a competitive market without externalities, that point also maximizes the sum of consumer and producer surplus, which economists call efficiency. Fairness is a separate judgment. A market can clear at a price many households cannot afford, and equilibrium says nothing about whether that result is just.

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