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AP® Microeconomics · Unit 4 · Topic 4.2

Monopoly: Revision Notes (Microeconomics 4.2)

One-page recap of monopoly: barriers to entry, the MR = MC rule, reading price from demand, the area formulas for profit, surplus and deadweight loss, and natural monopoly.

Short on time? This page is the recap. For explanations, graphs and worked examples, use the full study guide.

Recap

  • Monopoly: one seller, no close substitutes, price maker. Its demand curve is the market demand curve.
  • It exists because of barriers to entry: legal (patent, licence), control of a key resource, or economies of scale (natural monopoly).
  • It maximises profit where MR = MC, and charges the price on the demand curve above that quantity. Because MR < P, P > MC.
  • It can earn economic profit in the long run, because barriers block entry. It can also make a short-run loss if P < ATC.
  • It produces where demand is elastic (MR > 0). Revenue would be largest where MR = 0, but that is beyond the profit-maximising quantity.

Key relationships

Quantity Formula or area
Profit (loss) (P − ATC) × Qm: rectangle between Pm and ATC at Qm
Consumer surplus triangle below D, above Pm, from 0 to Qm
Producer surplus area above MC, below Pm, from 0 to Qm (larger than profit if there is fixed cost)
Deadweight loss triangle between D and MC from Qm to Qe (where D = MC)
Straight-line demand P = a − bQ MR = a − 2bQ
Outcome Perfect competition Monopoly
Price and quantity P = MC, higher Q P > MC, lower Q
Consumer surplus larger smaller
Deadweight loss none yes
Long-run profit zero can be positive

Natural monopoly: long-run ATC falls over the whole range of market demand, and MC lies below ATC. One firm supplies the market more cheaply than two or more. If forced to charge P = MC, it would make a loss.

Mistakes to avoid

  1. Reading the price where MR meets MC, instead of going up to demand.
  2. Calculating profit with MC instead of ATC.
  3. Drawing the deadweight loss to the left of Qm, or using MR instead of D as its top edge.
  4. Choosing the quantity where TR is largest.
  5. Calling any resource-based monopoly “natural”.
  6. Treating monopoly profit as deadweight loss: profit is a transfer, the DWL is lost to everyone.

Quick self-check

  1. Demand P = 50 − Q, MC = ATC = $10. Find Qm, Pm and profit. (MR = 50 − 2Q = 10, so Q = 20; P = $30; profit = (30 − 10) × 20 = $400.)
  2. For the same firm, find the deadweight loss. (D = MC at Q = 40; DWL = ½ × (30 − 10) × (40 − 20) = $200.)
  3. Why is P > MC at the monopoly’s quantity? (Because MR is below P, and the firm sets MR = MC.)

Next: practice questions.

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