Australian National University · FACULTY OF ECONOMICS

ECON1101 Chap.3 Marginal Benefit and Consumer Surplus

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Chapter 3 of 13 · ECON1101

Marginal Benefit and Consumer Surplus

Marginal Benefit and Consumer Surplus explains why demand slopes down and how much buyers gain from trade. Marginal benefit falls with each extra unit, so a buyer purchases while the next unit is worth at least the price, and willingness to pay traces the demand curve.

The chapter shows both routes to the law of demand, identical buyers with diminishing marginal utility and different buyers each wanting one unit, then measures total benefit as the area under demand and consumer surplus as that area minus spending. It ends with the cases that catch students out: a buyer forced to buy too much, and a buyer who cannot buy as much as she wants.

In this chapter

What this chapter covers

  • 01

    Utility and marginal benefit

  • 02

    Diminishing marginal utility

  • 03

    Willingness to pay as marginal benefit

  • 04

    Identical and heterogeneous buyers

  • 05

    Total benefit, total cost and consumer surplus

  • 06

    Over-consumption and market surplus

Worked example · free

Consumer surplus on Kai’s climbing-gym visits

Q [5 marks]. Kai’s monthly demand for climbing-gym visits is q = 20 − 2p. At $6 a visit, find the choke price, the number of visits, Kai’s spending and consumer surplus, and the market consumer surplus if the gym has 50 climbers with the same demand. Step marks are AskSia’s practice weighting, not an official assessment scheme.
Kai’s demand q = 20 − 2p meets the $6 price at 8 visits.Kai’s demand q = 20 − 2p meets the $6 price at 8 visits. The green triangle above the price is the $16 of consumer surplus; the orange rectangle below it is the $48 Kai spends.Price ($)Visits per monthCS 16spending 48demand = MB106820
Kai’s demand q = 20 − 2p meets the $6 price at 8 visits. The green triangle above the price is the $16 of consumer surplus; the orange rectangle below it is the $48 Kai spends.
  • 1Choke price: 20/2 = $10. At $6, q = 20 − 12 = 8 visits and spending is 6 × 8 = $48.
  • 2Consumer surplus at $6 = ½ × 8 × (10 − 6) = $16.
  • 1Market demand for 50 identical climbers is Q = 50(20 − 2p) = 1,000 − 100p, so 400 visits at $6.
  • 1Market consumer surplus = ½ × 400 × (10 − 6) = $800, which is 50 × $16.
Kai’s choke price is $10; at $6 Kai makes 8 visits, spends $48 and keeps $16 of surplus. Fifty identical climbers make 400 visits and keep $800.
Sia tip — The surplus triangle’s height runs from the price up to the choke price; measuring from zero instead doubles the error.
Glossary

Key terms

Marginal benefit
Marginal benefit is the extra benefit a buyer gains from consuming one more unit of a good.
Diminishing marginal utility
Diminishing marginal utility is the tendency for each additional unit to add less benefit than the one before.
Willingness to pay
Willingness to pay is the highest price a buyer would pay for a particular unit of a good.
Consumer surplus
Consumer surplus is the total benefit buyers receive minus the amount they pay.
Total benefit
Total benefit adds up the marginal benefit of every unit consumed, the area under the demand curve up to that quantity.
Heterogeneous consumers
Heterogeneous consumers are buyers whose valuations of the same good differ.
FAQ

Marginal Benefit and Consumer Surplus FAQ

Why is willingness to pay the same as marginal benefit?

When benefit is measured in dollars, the most a buyer would pay for one more unit is exactly the extra benefit that unit brings. That is why the demand curve can be read as a marginal benefit curve.

Why does the law of demand hold for goods people only buy one of?

Buyers differ in how much they value the good. Each price cut brings in the next buyer whose valuation now covers the price, so market quantity rises as price falls even without diminishing marginal utility.

Can buying more lower consumer surplus?

Yes. Units beyond the demand curve’s quantity are worth less than the price paid for them, so each one subtracts from surplus. Surplus is largest exactly where the price meets the marginal benefit curve.

Should I use a triangle or add up steps?

Use the triangle formula when demand is a straight line and the good is treated as divisible. Use a sum of value minus price, unit by unit, when the question gives a short schedule of marginal benefits.

What happens to consumer surplus when the price falls?

It rises for two reasons. Buyers who were already purchasing now pay less on every unit, and new units become worth buying because their marginal benefit now covers the lower price. On a linear demand curve the surplus triangle grows in both height and width.

Why does a buyer purchase a unit she is indifferent about?

The course adopts a simple tie-break: when marginal benefit exactly equals the price, the buyer goes ahead. It keeps demand schedules tidy, because quantity demanded at a price then includes every unit worth at least that price, and it mirrors the seller’s rule on the supply side.

Study strategy

Exam move

Rebuild the chapter from one table: write total utilities, difference them into marginal benefits, and read off quantity demanded at several prices. Then switch to a linear demand curve and compute consumer surplus twice, by the triangle and by total benefit minus spending, until the two always agree. Add one over-consumption variant and one market version with many identical buyers, since both change the area you measure.

Finally, practise describing the two routes to the law of demand in two sentences each, since a short written explanation of why demand slopes down is a common sub-part.

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