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The Theory of the Firm under Perfect Competition
Start here: why this chapter matters
This is Chapter 4 of Introductory Microeconomics: 17 pages (53–70) in seven sections — 4.1 features of perfect competition; 4.2 revenue; 4.3 profit maximisation (three conditions); 4.4 the firm's supply curve (short and long run, shut-down and break-even points); 4.5 determinants of supply (technology, input prices, a unit-tax box); 4.6 market supply; 4.7 price elasticity of supply — one table, fourteen figures, boxes on opportunity cost and a unit tax, and 27 exercise questions, nine numerical. All schedules are recomputed; we use NCERT's own Exercise 21 cost schedule as a fully worked example, and flag three slips.
- Builds on Chapter 3 (leec203 — MC, AVC, SAC and their minima) and Chapter 1 (leec201 — opportunity cost). Leads into Chapter 5 (market equilibrium: market supply meets market demand; price ceilings and floors).
- Pairs with live chapters: Indian Economic Development keec103 (liberalisation and competition) and keec105 (agricultural marketing); Introductory Macroeconomics leec105 (indirect taxes).
- UPSC, honestly: we found no past Prelims or Mains question whose core is this chapter. Its value is conceptual: market forms, price taking, normal profit, supply shifts from taxes and technology, and supply elasticity appear inside questions on agriculture, taxation and competition policy.
| Word | What it means here |
|---|---|
| Perfect competition | Many buyers and sellers, homogeneous product, free entry and exit, perfect information |
| Price taker | Cannot sell anything above the market price; can sell any amount at it |
| TR, AR, MR | p × q; TR per unit (= p); extra TR from one more unit (= p) |
| Price line | Horizontal line at the market price: AR, MR and the firm's demand curve |
| Profit (π) | TR − TC |
| Shut-down point | Minimum AVC (short run) or minimum LRAC (long run): below it, output is zero |
| Normal / supernormal profit | Minimum profit needed to stay in business (part of cost) / profit above it |
| Break-even point | Where the firm earns just normal profit — minimum average cost |
| Supply schedule / curve | Quantities a firm chooses to sell at each price, technology and input prices given |
| Unit tax | A tax of a fixed amount per unit sold |
| Market supply | Horizontal sum of firms' supplies at each price |
| Price elasticity of supply | % change in quantity supplied ÷ % change in price |
At a glance — the six ideas to carry away
- Perfect competition: many buyers and sellers, homogeneous product, free entry and exit, perfect information → every firm a price taker.
- TR = p × q (a straight line through the origin, slope p); AR = MR = p; the price line is the firm's perfectly elastic demand curve.
- Profit maximum: (1) p = MC; (2) MC not falling; (3) p ≥ AVC (short run) or p ≥ AC (long run).
- Short-run supply = rising SMC from min AVC (shut-down point) up; long-run supply = rising LRMC from min LRAC. Break-even = min AC; normal profit is part of cost.
- Supply shifts: technology → right; input price ↑ or unit tax → left. Market supply = horizontal sum; more firms → right.
- Price elasticity of supply = %Δq ÷ %Δp (cricket balls: 400% ÷ 200% = 2); straight line through origin → 1; meets price axis → > 1; meets quantity axis → < 1.
1. Perfect competition and price taking
A perfectly competitive market has four defining features: (1) a large number of buyers and sellers, each tiny relative to the market, so none can influence it; (2) a homogeneous product — one firm's product cannot be told from another's; (3) free entry and exit, which is what allows numbers to stay large; (4) perfect information about price, quality and the market. Together they produce the single most distinguishing characteristic: price-taking behaviour. A price-taking firm believes it will sell nothing above the market price and as much as it wants at or below it; a price-taking buyer believes nobody will sell below the market price and she can buy as much as she wants at or above it. The logic: if one firm raised its price, informed buyers of an identical product would switch to the many other firms, which can absorb them without ‘adjustment’ problems.
| View of perfect competition as a model (Beyond NCERT attribution) | Economists and works | Claim |
|---|---|---|
| A benchmark | Léon Walras (1874); Kenneth Arrow and Gérard Debreu (1954) | competitive markets can reach an efficient allocation — a yardstick for real markets |
| Imperfect and monopolistic competition | Joan Robinson, The Economics of Imperfect Competition; Edward Chamberlin, The Theory of Monopolistic Competition (both 1933) | most real firms face downward-sloping demand from differentiated products |
| Competition as a process | Friedrich Hayek, ‘The Meaning of Competition’ (1946) | the static model assumes away the discovery and rivalry that make competition valuable |
| Contestable markets | William Baumol and colleagues (1982) | even few firms may behave competitively if entry and exit are free |
- Markets for many farm products, foreign exchange or shares of large companies are often cited as close to perfect competition; most product markets are not.
- India's Competition Act, 2002 (replacing the MRTP Act, 1969) set up the Competition Commission of India to check anti-competitive agreements, abuse of dominance and mergers.
- NCERT's earlier syllabus had a chapter on non-competitive markets (monopoly, oligopoly, monopolistic competition); it is not in the current five-chapter book.
- Price taking is the result of the four features, not a fifth feature.
- Free entry and exit is what keeps the number of firms large.
- Buyers are price takers too.
2. Revenue: TR, AR and MR
A price taker has no reason to set a price below the market price, so it sells at exactly p. Total revenue TR = p × q. Table 4.1 (candles at ₹10 a box): 0, 10, 20, 30, 40, 50 for 0–5 boxes. The TR curve (i) passes through the origin, (ii) rises, and (iii) is a straight line because p is constant, with slope p (Aq₁/Oq₁ = p × 1/1). Average revenue AR = TR/q = p: the horizontal price line, which is also the firm's demand curve, perfectly elastic. Marginal revenue MR = ΔTR/Δq; from Table 4.1, (30 − 20)/(3 − 2) = 10; in general (pq₂ − pq₁)/(q₂ − q₁) = p. So MR = AR = p: each extra unit sells at the market price.
- The firm's demand curve is horizontal (perfectly elastic); the market demand curve still slopes down.
- Under perfect competition AR = MR = p; under other market forms MR < AR (Beyond NCERT).
3. Profit maximisation: three conditions
Profit π = TR − TC. At the profit-maximising output q₀ three conditions hold: (1) p = MC — while MR > MC an extra unit adds to profit, while MR < MC it subtracts, so profit peaks where MR = MC, and for a price taker MR = p; (2) MC is non-decreasing at q₀ — at a point where p = MC on the falling part of MC, producing a little less would raise profit (p < MC just to the left), so it cannot be the maximum; (3) p ≥ AVC in the short run, p ≥ AC in the long run — if p < AVC, revenue does not cover even variable cost, and producing nothing (a loss of just TFC) is better; in the long run a firm that shuts down earns zero, so it needs p ≥ AC. At q₀ the profit is the rectangle between price and SAC: (p − SAC) × q₀.
| q | TC | TR = 10q | Profit | MC | AVC | SAC |
|---|---|---|---|---|---|---|
| 0 | 5 | 0 | -5 | – | – | – |
| 1 | 15 | 10 | -5 | 10 | 10 | 15 |
| 2 | 22 | 20 | -2 | 7 | 8.5 | 11 |
| 3 | 27 | 30 | 3 | 5 | 7.33 | 9 |
| 4 | 31 | 40 | 9 | 4 | 6.5 | 7.75 |
| 5 | 38 | 50 | 12 | 7 | 6.6 | 7.6 |
| 6 | 49 | 60 | 11 | 11 | 7.33 | 8.17 |
| 7 | 63 | 70 | 7 | 14 | 8.29 | 9 |
| 8 | 81 | 80 | -1 | 18 | 9.5 | 10.12 |
| 9 | 101 | 90 | -11 | 20 | 10.67 | 11.22 |
| 10 | 123 | 100 | -23 | 22 | 11.8 | 12.3 |
Exercise 21 illustrates all three conditions. MC equals the price of ₹10 at q = 1 — but MC is falling there (10 → 7 → 5 → 4), and profit is −5: condition 2 rules it out. MC rises past ₹10 between q = 5 (MC 7) and q = 6 (MC 11); the sixth unit would cost 11 for a revenue of 10, so the firm stops at 5, earning ₹12 = (10 − 7.6) × 5, where 7.6 is SAC at q = 5. With TFC = ₹5 (cost at zero output), AVC is lowest at ₹6.5 (q = 4) — the shut-down price — and SAC lowest at ₹7.6 (q = 5) — the break-even price.
- Section 4.3 states condition 3 as a strict ‘p > AVC’ (and ‘p > AC’), but the case headings, derivations and Summary use ‘p ≥’. Safe line: the firm produces when p ≥ minimum AVC (short run).
- Fig. 4.4 text: ‘the firm's profit at q₁ is [(area EBAp) − TFC]’. Since TVC exceeds TR there, profit is −(area pEBA) − TFC — a loss larger than TFC. Safe line: ‘producing at q₁ loses TFC plus the uncovered variable cost’.
- The text refers to ‘sections 3.1–3.3’ and ‘section 3’; it means sections 4.3.1–4.3.3 of this chapter.
4. The firm's supply curve; shut-down and break-even
A firm's supply is the quantity it chooses to sell at a given price, technology and input prices given; the supply schedule and supply curve show it at each price. Short run: if p ≥ minimum AVC, the firm produces where p meets the rising SMC; if p < minimum AVC, it produces zero. So the short-run supply curve is the rising part of SMC from and above minimum AVC, with zero output at lower prices. Long run: the rising part of LRMC from and above minimum LRAC, zero below. The shut-down point is the last positive output as price falls: minimum AVC (where SMC cuts AVC) in the short run, minimum LRAC in the long run.
Normal profit is the minimum profit needed to keep a firm in business — an opportunity cost of entrepreneurship — and is counted as part of total cost; profit above it is supernormal. In the long run a firm will not stay with less than normal profit; in the short run it may. The break-even point is where the firm earns only normal profit: the minimum of average cost (SAC in the short run, LRAC in the long run), where the supply curve cuts it.
- With free entry and exit, supernormal profits attract new firms and losses drive firms out, so in long-run industry equilibrium each firm earns only normal profit: p = minimum LRAC.
- Accounting profit ignores the owner's opportunity costs; economic profit subtracts them — normal profit means zero economic profit.
- Shut-down = min AVC (short run); break-even = min SAC/LRAC. Between them a firm produces at a loss in the short run.
- Normal profit is included in cost.
- Supply is the rising part of MC only, and only above min AVC.
5. What shifts a firm's supply: technology, input prices, a unit tax
Since supply is part of the MC curve, anything that moves MC moves supply. Technological progress (NCERT's example: an organisational innovation) lets the same inputs produce more, lowering MC at every output: supply shifts right. A rise in an input price such as the wage raises average and (usually) marginal cost: supply shifts left. A unit tax of ₹t per unit (₹2 on 10 units = ₹20) raises LRMC and LRAC by t at every output (Fig. 4.11), so the long-run supply curve shifts left (Fig. 4.12).
- Technology → supply right; input price ↑ or unit tax → supply left.
- A change in the good's own price moves the firm along its supply curve.
6. Market supply
Market supply at a price is the sum of all firms' supplies at that price — a horizontal summation of supply curves. With two firms with different costs, below the lower shut-down price nobody supplies; between the two shut-down prices only the lower-cost firm supplies; above both, both do. The market curve is drawn for a fixed number of firms; more firms shift it right, fewer shift it left. NCERT's example: S₁(p) = p − 10 for p ≥ 10 (0 below), S₂(p) = p − 15 for p ≥ 15 (0 below), so Sm(p) = 0 for p < 10, p − 10 for 10 ≤ p < 15, and 2p − 25 for p ≥ 15 — we checked each piece.
- Add quantities at each price.
- An increase in the number of firms shifts market supply right (Exercise 17).
7. Price elasticity of supply
The price elasticity of supply eS = (% change in quantity supplied) ÷ (% change in price) = (ΔQ/Q)/(ΔP/P). NCERT's example: cricket balls at ₹10, 200 produced; at ₹30, 1,000. Quantity rises (1000 − 200)/200 = 400%; price (30 − 10)/10 = 200%; eS = 2. A vertical supply curve has eS = 0; a rising one has eS > 0; like demand elasticity, it is independent of units. Geometric method for a straight-line supply curve, at a point S with output q₀, eS = Mq₀/Oq₀, where M is where the line (extended) meets the quantity axis: if it meets the price axis at a positive price (M on the negative side), eS > 1; through the origin, eS = 1; meeting the quantity axis at a positive quantity, eS < 1 — at every point of each line.
- Through the origin: eS = 1 at every point, whatever the slope.
- A vertical supply curve: eS = 0. A horizontal one: eS infinite (Beyond NCERT).
- Unlike a straight demand line, a straight supply line through the origin has constant elasticity.
NCERT exercise — answer outlines
The chapter has no activities. Questions 1–18 are conceptual; 19–27 numerical — every answer recomputed. Try first, then open.
1. Characteristics of a perfectly competitive market.
2–6. How are TR, price and quantity related? What is the price line? Why is the TR curve a straight line through the origin? How are price, AR and MR related?
7. Conditions for a profit-maximising competitive firm producing positive output.
8. Can a profit-maximising firm produce positive output where price ≠ MC?
9. Will it ever produce where MC is falling?
10–11. Positive output if price < minimum AVC (short run)? If price < minimum AC (long run)?
12–13. Supply curve of a firm in the short run and the long run.
14–17. Effects of technological progress, a unit tax, a rise in an input price, and more firms.
18. What is price elasticity of supply and how is it measured?
19. Price ₹10: compute TR, MR and AR for 0–6 units.
20. TR: 0, 5, 10, 15, 20, 25, 30, 35 and TC: 5, 7, 10, 12, 15, 23, 33, 40 for q = 0…7. Profit at each output and the market price?
21. TC for q = 0…10: 5, 15, 22, 27, 31, 38, 49, 63, 81, 101, 123; price ₹10. Profit at each output and the profit-maximising output?
22. Two firms; prices 0–6; SS₁ = 0, 0, 0, 1, 2, 3, 4 and SS₂ = 0, 0, 0, 1, 2, 3, 4. Market supply?
23. Two firms; prices 0–8; SS₁ = 0, 0, 0, 1, 2, 3, 4, 5, 6 and SS₂ = 0, 0, 0, 0, 0.5, 1, 1.5, 2, 2.5. Market supply?
24. Three identical firms; firm 1's supply at prices 0–8: 0, 0, 2, 4, 6, 8, 10, 12, 14. Market supply?
25. Revenue ₹50 at price ₹10; revenue ₹150 at price ₹15. Price elasticity of supply?
26. Price ₹5 → ₹20; quantity rises by 15 units; e = 0.5. Initial and final output?
27. At ₹10 a firm supplies 4 units; price rises to ₹30; e = 1.25. New quantity?
What to remember
Numbers
One-liners
- Many firms, identical goods, free entry, full information → price takers.
- For a price taker, AR = MR = p, and the firm's demand curve is flat.
- Produce where p = MC on the rising part of MC.
- Short run: stay open if price covers AVC; long run: only if it covers AC.
- Short-run supply = SMC above min AVC.
- Shut-down at min AVC; break-even at min AC.
- Normal profit is a cost; supernormal profit is above it.
- Technology shifts supply right; input prices and unit taxes shift it left.
- Market supply is the horizontal sum.
- A straight supply line through the origin has elasticity 1 everywhere.
Traps to avoid
- Shut-down point = min AVC, not min SAC; break-even = min SAC (LRAC in the long run).
- p = MC on a falling MC is not a profit maximum.
- The firm's demand curve is horizontal; the market demand curve slopes down.
- Normal profit is included in total cost.
- NCERT writes condition 3 as p > AVC in one place and p ≥ AVC elsewhere — use ≥.
- Fig. 4.4's loss is −(area pEBA) − TFC, not ‘(area EBAp) − TFC’.
- NCERT's ‘section 3’ cross-references mean section 4.3 of this chapter.
- A unit tax shifts supply left (MC up by t).
- Supply through the origin: eₛ = 1; meets price axis: > 1; meets quantity axis: < 1.
How to strategise
Prelims — what UPSC asks
- No past question has its core in this chapter. Prepare for statement questions on: features of perfect competition; AR = MR = p; shut-down vs break-even; normal profit; what shifts supply (technology, input prices, taxes); elasticity of straight-line supply curves.
- Market-form questions (monopoly, oligopoly) belonged to a chapter no longer in the NCERT book — know the basic definitions from the perfect-competition benchmark.
Mains — where it appears and how to answer
- Use in GS3 answers: why farmers are price takers in competitive mandis and need price support or market reform; how a per-unit tax or input-price change (fuel, fertiliser) shifts supply; why supply of farm goods is inelastic in the short run; the role of competition policy (CCI).
- Set views side by side — perfect competition as an efficient benchmark (Walras; Arrow–Debreu) versus critiques (Robinson, Chamberlin, Hayek) — without present-day political commentary.
Self-check
Tap an option. NCERT's own exercise questions come first; the rest test the figures and common confusions.
1. Which is NOT a defining feature of perfect competition in NCERT?
2. For a firm under perfect competition:
3. In Exercise 21 (price ₹10), MC equals the price at q = 1, yet the firm does not produce 1 unit because:
4. A firm's short-run shut-down point is at:
5. A unit tax on a good shifts a firm's supply curve:
6. Firm 1 supplies p − 10 (p ≥ 10) and firm 2 supplies p − 15 (p ≥ 15). Market supply at p = 20 is:
7. A straight-line supply curve through the origin has price elasticity:
UPSC questions from this chapter
Open any question to attempt it in the Question bank — your attempt is saved to your progress.