IB Economics HL Topic 2 — Microeconomics Paper 1 & 3 Core skill ~9 min read

Profit Maximisation and the Rational Producer

Every firm you meet in this topic — tiny wheat farm or giant monopoly — is assumed to want one thing: the biggest possible profit. That single assumption gives you one rule, MC = MR, and that rule tells you where to draw the dashed line on every diagram you will ever be asked for.

📘 What you need to know

Two kinds of cost, and why economists count both

An accountant counts the bills: wages, rent, materials, electricity. Economists call those explicit costs. But they also count what the owner gave up to run this business, which is the implicit cost.

Say you put $1m of your own savings into a bakery. An accountant records no cost for that money. An economist does: in a bank at 5% it would have earned $50,000, so $50,000 is a genuine cost of choosing the bakery. Unless the bakery beats it, you are worse off than your next best option.

Why this matters. Because implicit costs are included, “zero economic profit” is not a disaster. It means the firm is doing exactly as well as its next best alternative. That is why economists call it normal profit.
The three profit situations TR = TC → normal profit (breakeven)
TR > TC → abnormal profit
TR < TC → loss
If a question asks why a firm stays open while “making no profit”, the answer is one sentence: it is making normal profit, so it is covering its opportunity cost and has no better option.

The profit maximisation rule

Think about one extra unit at a time. Marginal revenue (MR) is what that unit adds to revenue. Marginal cost (MC) is what it adds to cost.

Why profit peaks exactly where MC = MR Keep making units while the next one earns more than it costs COSTS / REVENUE ($) 0 OUTPUT MC MR Qmax MR is above MC here each extra unit adds profit MC is above MR here each extra unit loses money Profit is highest at Qmax, where the two marginal curves cross Producing more than Qmax still adds revenue, but it adds cost faster
A common trap: students think a firm should produce where revenue is highest. It should not. Past Qmax revenue is still rising, but cost is rising faster, so profit falls.

🤔 Why “produce more” is not always the answer

Total revenue usually keeps rising as output rises, so a firm chasing revenue would produce far more than a firm chasing profit. The gap between those two targets is exactly why the MC = MR rule exists — it is the only point where you cannot make yourself better off by changing output in either direction.

Seeing it in a table of numbers

Paper 3 loves this. You are given marginal figures and asked where profit peaks. Compare the two columns line by line.

Output (units)MR ($)MC ($)Effect on profit
44022+18, so make it
54028+12, so make it
640400, the last worthwhile unit
74055-15, do not make it

Profit is maximised at 6 units. The seventh unit is not a disaster on its own, but it drags total profit down by $15, so a rational producer stops at 6.

Reading profit off a diagram

🧩 The four-step method (works for every market structure)

  1. Find MC = MR. Mark the crossing point and drop a dashed line down to the quantity axis. That is your output.
  2. Go straight up from that output to the AR curve and across to the price axis. That is the price the firm charges.
  3. Read AC at the same output and go across to the axis. That is cost per unit.
  4. Profit per unit = AR – AC. Multiply by the quantity to get total profit, and shade that rectangle.
Total profit from a diagram total profit = (AR – AC) × Q
Step 2 is where marks disappear. Students read the price off the point where MC crosses MR. Price always comes from the AR curve, never from the MC = MR point itself.

Does profit maximisation always happen?

It is a model, so be ready to question it in an evaluation paragraph.

Worked examples

WORKED EXAMPLE 1

A firm’s figures are: at 5 units TR = $200 and TC = $130; at 6 units TR = $234 and TC = $156; at 7 units TR = $259 and TC = $194. Find the profit maximising output. [3]

Step 1: Profit = TR – TC at each output 5 units: 200 – 130 = $70 6 units: 234 – 156 = $78 7 units: 259 – 194 = $65 Step 2: Pick the biggest Profit maximising output = 6 units, profit $78 Step 3: Check with the marginal rule 6th unit: MR 34 vs MC 26 → worth making. 7th unit: MR 25 vs MC 38 → not worth making. The two methods must agree. If they do not, you have an arithmetic slip.
WORKED EXAMPLE 2

A perfectly competitive firm produces 2,000 units. AR = MR = $30, ATC = $26, AVC = $19 and MC = $30. (a) Calculate total profit. (b) Is it profit maximising? (c) Calculate total fixed cost. [5]

(a) Profit = (AR – ATC) × Q = (30 – 26) × 2,000 = 4 × 2,000 Total profit = $8,000 (abnormal profit) (b) Compare MC and MR MC = $30 and MR = $30, so MC = MR → yes, it is at the profit maximising output. (c) TFC = (ATC – AVC) × Q = (26 – 19) × 2,000 = 7 × 2,000 Total fixed cost = $14,000 Per-unit figures always need multiplying by Q before you call them a total.

💡 Exam tip

⚠ Common mix-up

Up next: Perfect Competition — the market where firms have no power at all, and the benchmark every other structure is judged against.

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