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.
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.
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.
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.
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