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ECON10004 · Introductory Microeconomics

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Chapter 4 of 8 · ECON10004

Consumer and Producer Surplus

Consumer and producer surplus are the two halves of the value a market creates. Consumer surplus is the gain to buyers — the area under the demand curve and above the price, because each buyer pays less than the maximum they were willing to pay. Producer surplus is the gain to sellers — the area above the supply curve and below the price, because each seller receives more than their marginal cost. Their sum is total surplus, the single number measuring how much a market benefits society.

ECON10004 tests this concept because it is the ruler every later topic is measured with: the competitive equilibrium maximises total surplus, and any policy that moves quantity away from Q* carves out a deadweight loss. It sits right after supply and demand — once you can find equilibrium you can measure its welfare — and directly sets up taxes, price controls, monopoly and externalities, which are all scored by the surplus they destroy.

In this chapter

What this chapter covers

  • 01Consumer surplus — the area under demand, above price
  • 02Producer surplus — the area above supply, below price
  • 03The choke price and the supply intercept (the triangle corners)
  • 04Total surplus = CS + PS, and reading areas off a linear graph
  • 05Why the competitive equilibrium maximises total surplus
  • 06The invisible hand — value vs cost on each unit
  • 07Deadweight loss when quantity moves away from Q*
Worked example · free

The surplus calculation, end to end

Q [6 marks].

A market has demand Qd = 120 − 20P and supply Qs = 20P. Find the competitive equilibrium, then compute consumer surplus, producer surplus and total surplus. Show the three areas on a diagram.

QuantityPrice ($)DS603CSPS
  • +1Equilibrium. Set Qd = Qs: 120 − 20P = 20P → 120 = 40P → P* = 3. Then Q* = 20 × 3 = 60.
  • +1Choke price (demand intercept). Set Qd = 0: 120 − 20P = 0 → P = 6. Demand hits the price axis at $6.
  • +1Supply intercept. Set Qs = 0: 20P = 0 → P = 0. Supply starts at the origin.
  • +1Consumer surplus. Triangle from P* = 3 up to the choke price 6, over Q* = 60: CS = ½ × 60 × (6 − 3) = 90.
  • +1Producer surplus. Triangle from the supply intercept 0 up to P* = 3, over Q* = 60: PS = ½ × 60 × (3 − 0) = 90.
  • +1Total surplus. TS = CS + PS = 90 + 90 = 180.

P* = 3, Q* = 60. Consumer surplus = 90, producer surplus = 90, total surplus = 180. The two triangles are equal here because demand and supply are equally steep.

Glossary

Key terms

Consumer surplus
The total gain to buyers from trading: the area under the demand curve and above the market price. It measures the difference between the maximum buyers were willing to pay and the price they actually paid.
Producer surplus
The total gain to sellers from trading: the area above the supply curve and below the market price. It measures the difference between the price sellers receive and their marginal cost of supplying each unit.
Total surplus
Consumer surplus plus producer surplus — the whole triangle between the demand and supply curves up to the traded quantity. It is the single number that measures how much a market benefits society.
Choke price
The price so high that quantity demanded falls to zero — the vertical intercept of the demand curve. It is the top corner of the consumer-surplus triangle, so it is always needed to compute consumer surplus.
Deadweight loss
The total surplus destroyed when traded quantity moves away from the efficient quantity Q*. It is the triangle of value lost on units that should have been traded (or wrongly traded), and is how every later policy is scored.
FAQ

Consumer and Producer Surplus FAQ

Is consumer surplus the same as how much consumers spend?

No — this is the most common error markers see. Consumer surplus is not total spending and producer surplus is not total revenue. CS is the gap between what buyers would have paid (the demand curve) and what they actually pay (the price). PS is the gap between the price received and marginal cost (the supply curve). Computing ‘price × quantity’ for a surplus gives the wrong answer; surplus is measured as a triangle area, not a rectangle.

How do I read the three areas off a linear graph quickly?

Every surplus is a right triangle, so area = ½ × base × height. The base is always the quantity, measured along the horizontal axis. The height is the vertical price gap: for CS it runs from the price up to the choke price; for PS it runs from the supply intercept up to the price. Find the two intercepts and the equilibrium point, and all three areas drop straight out.

Why does the competitive equilibrium maximise total surplus?

At Q*, the last unit traded is valued by a buyer at exactly what it costs a seller — demand meets supply. For every unit below Q*, value exceeds cost, so that unit should be traded, and the market trades it. For every unit above Q*, cost exceeds value, so it should not be traded, and the market does not. No central planner is needed: self-interested buyers and sellers, guided as if by an invisible hand, land exactly on the efficient quantity.

What happens to surplus when a policy changes the quantity?

Any policy that pushes traded quantity away from Q* — a tax, a price control, a tariff, or monopoly pricing — carves a deadweight-loss triangle out of total surplus. Those are units where value exceeded cost but no longer get traded, so their gains are simply lost. Mastering the three surplus triangles here makes the later welfare chapters arithmetic.

Study strategy

Exam move

Marks are won by running the same four-step drill every time and lost by confusing surplus with money. (1) Set Qd = Qs to get P* and Q*. (2) Set each curve to zero for the demand choke price and the supply intercept — these are the triangle corners, and forgetting them is where most students stall. (3) CS = ½·Q*·(choke − P*); PS = ½·Q*·(P* − intercept); TS = CS + PS. (4) Always draw and label the triangles. Never write ‘price × quantity’ for a surplus — surplus is value, not spending or revenue.

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