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IB Diploma Economics HL · HL Extension Topics and Quantitative Analysis
HL only

HL Extension & Quantitative Analysis

This mini-lesson covers HL-only material: the theory of the firm and market structures (costs, revenues, profit maximisation, perfect competition, monopoly and monopolistic competition) and the HL quantitative methods — including the Keynesian multiplier with marginal propensities. Every calculation here is worked from first principles.

costs & revenues market structures the multiplier

Work through each screen, answer the questions and collect ⭐ stars. Press Start when ready.

HL · costs of production

Costs of production

In the short run at least one factor is fixed. A firm’s costs split into:

  • Fixed costs (FC) — do not vary with output (rent, insurance).
  • Variable costs (VC) — rise with output (raw materials, wages).
  • Total cost (TC) = FC + VC. Average total cost (ATC) = TC ÷ Q.
  • Marginal cost (MC) = the change in total cost from producing one more unit = ΔTC ÷ ΔQ.

Law of diminishing marginal returns: in the short run, adding more of a variable factor to fixed factors eventually raises marginal cost.

HL · Calculate

Your turn — marginal cost

1A firm’s total cost rises from $800 to $890 when output rises from 40 to 50 units. Calculate the marginal cost per unit over this range.
$
Hint: MC = ΔTC ÷ ΔQ = (890 − 800) ÷ (50 − 40) = 90 ÷ 10.
HL · revenues

Revenues

  • Total revenue (TR) = price × quantity = P × Q.
  • Average revenue (AR) = TR ÷ Q = the price.
  • Marginal revenue (MR) = the change in total revenue from selling one more unit = ΔTR ÷ ΔQ.

Economic profit = total revenue − total cost, where total cost includes all opportunity costs (so a firm earning only normal profit makes zero economic profit).

Worked example

If P = $12 and Q = 500, then TR = 12 × 500 = $6000.

If ATC = $9, then TC = 9 × 500 = $4500, so profit = 6000 − 4500 = $1500.

HL · Calculate

Your turn — economic profit

2A firm sells 500 units at a price of $12. Its average total cost is $9. Calculate the firm’s total economic profit.
$
Hint: TR = 12 × 500 = 6000; TC = 9 × 500 = 4500; profit = TR − TC.
HL · profit maximisation

The profit-maximising rule

A firm maximises profit at the output where marginal cost equals marginal revenue:

MC = MRbelow this output MR > MC (produce more); above it MC > MR (produce less)

At that output the firm may earn:

  • Abnormal (supernormal) profit if AR > ATC;
  • Normal profit if AR = ATC;
  • A loss if AR < ATC.
HL · Quick check

Where to produce?

?A profit-maximising firm should choose the output at which:
HL · perfect competition

Perfect competition

A perfectly competitive market has many small firms, an identical (homogeneous) product, freedom of entry and exit, and perfect information. Each firm is a price taker, so AR = MR = the market price.

  • In the short run firms may earn abnormal profit or losses.
  • In the long run free entry and exit competes profit away to normal profit.
  • Outcome: both productive efficiency (production at minimum ATC) and allocative efficiency (P = MC).
HL · monopoly

Monopoly

A monopoly is a single seller protected by high barriers to entry. It is a price maker facing a downward-sloping demand curve, so MR lies below AR.

P Q AR=D MR MC Qm (MC=MR)
The monopolist sets output where MC = MR, restricting quantity below the allocatively efficient level (P = MC) and charging a higher price.

Efficiency: a monopoly is usually allocatively inefficient (P > MC) and can sustain abnormal profit, though it may gain from economies of scale.

HL · Sort it

Which market structure?

Tap a feature, then tap the market structure it describes.

⚖️ Perfect competition

👑 Monopoly

🏷️ Monopolistic competition

HL · Quick check

Monopoly vs competition

?Compared with a perfectly competitive industry, a profit-maximising monopoly typically:
HL · imperfect competition

Monopolistic competition & oligopoly

  • Monopolistic competition — many firms selling differentiated products (branding, quality). Each has some price-setting power but free entry competes profits to normal in the long run.
  • Oligopoly — a few large firms dominate. Firms are interdependent, so they watch each other’s decisions. They may compete on price, use non-price competition, or collude (e.g. a cartel) to raise prices.

Game theory: the interdependence of oligopolists is often modelled with payoff matrices such as the prisoner’s dilemma.

HL · Match it

Match each term to its definition

Tap a definition on the left, then the term on the right.

Definition
Term
HL · the multiplier

The Keynesian multiplier

An injection into the circular flow raises income by more than the initial amount, because part of the extra income is re-spent. At HL the multiplier uses the marginal propensities to withdraw:

k = 1 ÷ (MPS + MPT + MPM)saving + taxation + imports = the marginal propensity to withdraw (MPW). Equivalently k = 1 ÷ (1 − MPC) in a simple model.
Worked example

MPS = 0.1, MPT = 0.2, MPM = 0.1 → MPW = 0.4.

k = 1 ÷ 0.4 = 2.5.

HL · Calculate

Your turn — the multiplier

3In an economy, MPS = 0.1, MPT = 0.2 and MPM = 0.1. Calculate the value of the multiplier, k.
k
Hint: MPW = 0.1 + 0.2 + 0.1 = 0.4; k = 1 ÷ 0.4.
HL · Calculate

Your turn — the change in income

4Using the multiplier of 2.5 from the previous screen, an extra $80m of investment is injected. Calculate the final rise in equilibrium national income, in $m.
$m
Hint: ΔY = injection × k = 80 × 2.5.
HL · Quick check

Size of the multiplier

?A larger marginal propensity to withdraw (MPW) makes the multiplier:
HL · efficiency

Efficiency across market structures

  • Productive efficiency — producing at the minimum of the ATC curve (lowest cost per unit).
  • Allocative efficiency — producing where P = MC, so the value to consumers of the last unit equals its cost.

Perfect competition achieves both in the long run; monopoly generally achieves neither, though it may gain from economies of scale or fund innovation. This trade-off is central to HL evaluation.

HL · Calculate

Your turn — average total cost

5At an output of 200 units a firm’s total cost is $3000. Calculate its average total cost per unit.
$
Hint: ATC = TC ÷ Q = 3000 ÷ 200.
HL · Quick check

Productive efficiency

?A firm is productively efficient when it produces at the output where:
Recap

The big ideas to know

Costs: TC = FC + VC · ATC = TC ÷ Q · MC = ΔTC ÷ ΔQ

Revenues: TR = P × Q · AR = price · MR = ΔTR ÷ ΔQ · profit = TR − TC

Profit max: produce where MC = MR

Structures: perfect competition (price taker, normal profit, efficient) vs monopoly (price maker, abnormal profit, inefficient) vs monopolistic competition (differentiated)

Multiplier: k = 1 ÷ (MPS + MPT + MPM); bigger leakages → smaller multiplier

Efficiency: productive = min ATC · allocative = P = MC

You have covered the HL extension essentials. Press Finish to see your score.

🏆

Mini-lesson complete!

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