Equilibrium and price controls

Principles of Microeconomics. Also known as: econ 202, econ 2302, econ 2023, econ 102, econ 101 micro, eco 2023, principles of microeconomics, microeconomics, intro to microeconomics, micro econ, economics 2

Finding the market price, predicting shifts, and what price ceilings and floors do.

Equilibrium

The equilibrium price is where the quantity demanded equals the quantity supplied. At any higher price there is a surplus: sellers want to sell more than buyers want to buy, which pushes the price down. At any lower price there is a shortage, which pushes the price up. Competitive markets move toward equilibrium without anyone planning it.

Worked example: finding equilibrium

Suppose, for a town's weekly fresh-fish market:

  • Demand: Qd = 100 − 2P
  • Supply: Qs = 20 + 3P

(P in dollars, Q in kilos.) Set Qd = Qs: 100 − 2P = 20 + 3P, so 80 = 5P and P = 16. Substitute: Qd = 100 − 32 = 68, and Qs = 20 + 48 = 68. Equilibrium is P = 16, Q = 68.

Now a health report boosts demand so that Qd = 120 − 2P. Then 120 − 2P = 20 + 3P gives 100 = 5P, so P = 20 and Q = 20 + 60 = 80. A rightward demand shift raised both price and quantity.

Predicting shifts

Keep a four-way rule in mind:

  • Demand increases: price up, quantity up.
  • Demand decreases: price down, quantity down.
  • Supply increases: price down, quantity up.
  • Supply decreases: price up, quantity down.

If both curves shift, you can usually predict one of price or quantity, but the other depends on which shift is larger.

Price controls

A price ceiling is a legal maximum price. If it is set below equilibrium, it binds and creates a shortage. Using our fish market with a ceiling of 10: Qd = 100 − 20 = 80 and Qs = 20 + 30 = 50, a shortage of 30 kilos. Rent control is a common real-world example, and it can lead to queues, lower quality and black markets.

A price floor is a legal minimum price. If set above equilibrium it binds and creates a surplus. With a floor of 20: Qd = 100 − 40 = 60 and Qs = 20 + 60 = 80, a surplus of 20 kilos. Agricultural support prices and minimum wages are examples.

Key point: a ceiling set above equilibrium, or a floor set below it, does nothing, because the market price is already within the limit. Always check whether the control is binding before predicting anything.

Practice questions

  1. Assume Qd = 100 − 2P and Qs = 20 + 3P. What is the equilibrium price?

  2. Assume Qd = 100 − 2P and Qs = 20 + 3P. What is the equilibrium quantity?

  3. Assume Qd = 100 − 2P and Qs = 20 + 3P. A price ceiling of 10 is imposed. The result is a…

  4. Assume Qd = 100 − 2P and Qs = 20 + 3P. A price floor of 20 is imposed. The result is a…

  5. Assume Qd = 120 − 2P and Qs = 20 + 3P. What is the equilibrium price?

  6. At a price above the equilibrium price, the market has…

Equilibrium and price controls explained: Principles of Microeconomics study guide | CoLabEx