Market Equilibrium — Study Guide (Chapter 5) — CBSE Class 12
1. What this chapter is about
- This chapter explains how market prices and quantities are determined by the interaction of demand and supply, what happens when they do not match (excess demand or excess supply), and how markets adjust — both in the short run and in the long run.
- It covers stability, welfare (consumer & producer surplus), and typical policy interventions such as price ceilings and price floors, plus implications for efficiency and equity.
- Focus is on clear definitions, diagrams you must draw in exams, and typical numerical + conceptual questions in CBSE pattern.
2. Key definitions (quick)
- Demand (D): relationship showing quantities buyers wish to purchase at various prices, ceteris paribus.
- Supply (S): relationship showing quantities sellers are willing to sell at various prices.
- Equilibrium (P*, Q*): the price–quantity pair where demand equals supply: D(P*) = S(P*).
- Excess demand (shortage): when price is below equilibrium (P < P*), quantity demanded > quantity supplied.
- Excess supply (surplus): when price is above equilibrium (P > P*), quantity supplied > quantity demanded.
3. How equilibrium forms — intuition
- If price > P*: sellers have unsold stock → pressure to reduce price → quantity demanded rises, quantity supplied falls, moving toward P*.
- If price < P*: buyers compete and bid up price → quantity demanded falls, quantity supplied rises, moving toward P*.
- Thus market forces push price toward the market-clearing level when price is free to adjust.
- Draw the standard diagram: downward-sloping D, upward-sloping S — intersection is (P*, Q*). Shade consumer and producer surplus for welfare analysis.
4. Excess demand and excess supply — dynamics & consequences
- Excess demand (shortage): queues, rationing, non-price allocation (first-come, coupons), or black markets if controls exist. Tends to push price upwards if allowed.
- Excess supply (surplus): unsold inventories, price-cutting, increased promotions, production cuts — tends to push price downwards.
- Speed of adjustment depends on market institutions: auctions adjust quickly; labour markets and regulated markets can adjust slowly because of contracts, wages, regulations.
5. Short-run market equilibrium (fixed number of firms)
- Short run: number of firms is fixed; firms change output but cannot enter/exit.
- Industry supply is the horizontal sum of individual firm supplies. Given demand D(P), solve for P* from D(P)=S(P).
- At the short-run P*, firms may earn positive profits, zero profit (normal profit), or losses depending on position of P* relative to short-run ATC.
Example (short run): ten identical firms each supply q(P)=max(0,2P−10). Aggregate S(P)=10×q(P). If demand Qd=250−10P, set 250−10P = 20P−100 → solve for P and Q as in-class exercise.
6. Long-run equilibrium — free entry and exit
- In the long run firms can enter or exit. Entry occurs if existing firms earn positive economic profit → supply shifts right; exit if firms incur losses → supply shifts left.
- Long-run competitive equilibrium occurs where price equals minimum long-run average cost (LRAC), so firms earn zero economic profit (normal profit).
- Industry long-run supply depends on input price responses:
- Constant-cost industry: LR supply is horizontal at P = min LRAC.
- Increasing-cost industry: LR supply slopes upward (expansion raises input prices).
- Decreasing-cost industry: LR supply slopes downward (expansion reduces input costs due to scale or learning).
7. Stability of equilibrium
- Equilibrium is stable if small deviations trigger forces that restore the equilibrium (e.g., excess demand → price rise → moves back to equilibrium).
- Walrasian tâtonnement: price adjustments based on excess demand. Not all real markets follow this ideal process; quantity adjustments, rationing, and institutional delays can create lasting disequilibrium.
8. Welfare at equilibrium
- Consumer surplus (CS): area under demand above price up to Q* — net benefit to buyers.
- Producer surplus (PS): area above supply (MC) below price up to Q* — net benefit to sellers.
- Total surplus = CS + PS. Competitive equilibrium (P*=MC for marginal unit) maximizes total surplus under standard assumptions (no externalities, public goods or market power).
- Deadweight loss occurs when quantity traded deviates from Q* because of taxes, price controls, or other distortions.
9. Policy interventions — Price ceiling and price floor (applications)
- Price ceiling (maximum price Pmax): if Pmax ≥ P* → non-binding. If Pmax < P* → binding → shortage (Qd(Pmax) > Qs(Pmax)).
- Consequences: rationing, queues, black markets, quality deterioration, misallocation. Consumer surplus may increase for those allocated the good but total surplus usually falls (deadweight loss).
- Price floor (minimum price Pmin): if Pmin ≤ P* → non-binding. If Pmin > P* → binding → surplus (Qs > Qd).
- Consequences: unsold inventories, government purchase programs, wasted resources, higher prices for consumers, deadweight loss. Minimum wage is a common example with potential unemployment effects if binding.
Exam tip: When asked to draw effects of a ceiling or floor, show original equilibrium, the control line (horizontal), new Qs and Qd points, and shade CS/PS changes and deadweight loss triangles.
10. Taxes, subsidies and incidence
- A per-unit tax (t) on sellers shifts the supply curve vertically up by the amount t (or shifts left in schedule form). A tax on buyers shifts demand down by t. Result: quantity traded falls.
- Tax incidence: who bears the burden depends on relative price elasticities. The side (demand or supply) that is less elastic bears more of the tax.
- Tax revenue = t × Qtax. Deadweight loss arises because trade reduces below efficient level.
- Subsidy is the mirror image: supply shifts down (or demand up), quantity increases, and subsidy cost is typically borne by government — again incidence depends on elasticities.
11. Non-price rationing & real-world frictions
- When price controls bind, allocation often occurs via non-price methods: ration coupons, first-come-first-served, connections, or black markets — typically inefficient and inequitable.
- Sticky prices (menu costs, contracts) mean adjustments occur through quantities (inventory changes, layoffs) rather than prices, which affects unemployment and shortages in real markets.
12. Heterogeneous firms and industry supply
- Firms differ in cost functions. Industry supply is the horizontal sum of individual supplies: low-cost firms supply more at low prices; high-cost firms supply only at higher prices.
- In the long run, entry/exit selects efficient firms — inefficient firms exit, average costs and industry composition adjust.
13. Comparative statics — how changes affect equilibrium
- Demand increase: D → D’ (right): SR → higher P and Q. If permanent, LR entry may raise supply and bring P down toward LRAC, increasing Q further.
- Supply increase: S → S’ (right): lower P, higher Q.
- When both shift, compare magnitude to determine net effects on P and Q.
14. Efficiency, equity and policy trade-offs
- Competitive markets are efficient benchmarks, but efficiency may conflict with equity (distribution). Governments may intervene to redistribute (taxes/transfers) or correct market failures (externalities, public goods).
- Policy design should minimize distortions — targeted transfers are usually less distortionary than blanket price controls.
15. Diagrams & practice you must do
- Draw and label: demand and supply intersection (equilibrium), consumer & producer surplus; a binding price ceiling and its shortage; a binding price floor and its surplus; tax wedge showing prices paid and received and tax revenue rectangle.
- Practice algebra: solving linear demand & supply equations, computing equilibrium P and Q, shortage/surplus, tax revenue, and change in consumer/producer surplus.
16. Useful formulas & quick reference
| Concept | Expression / Note |
|---|---|
| Equilibrium | Find P* such that D(P*) = S(P*). Quantity Q* = D(P*) = S(P*). |
| Excess demand | ED(P) = Qd(P) − Qs(P) > 0 → upward pressure on P. |
| Excess supply | ES(P) = Qs(P) − Qd(P) > 0 → downward pressure on P. |
| Tax revenue | Revenue = t × Qafter tax (for per-unit tax t). |
| Consumer surplus (approx.) | Area under demand above price (use triangle/areas on linear diagrams). |
| Producer surplus (approx.) | Area above supply below price (triangle/areas on linear diagrams). |
17. Short CBSE-style sample questions (with answers)
Q1 (Very Short): Define market equilibrium.
A1: Market equilibrium is the price and quantity at which quantity demanded equals quantity supplied. Mathematically, P* satisfies D(P*) = S(P*).
Q2 (Short): If demand is Qd = 120 − 4P and supply is Qs = 10 + 2P, find equilibrium price and quantity.
A2: Set 120 − 4P = 10 + 2P → 110 = 6P → P* = 110/6 ≈ 18.33. Q* = 120 − 4(18.33) ≈ 120 − 73.33 = 46.67 (approx 46.7 units).
Q3 (Short): A binding price ceiling is imposed below equilibrium. Explain two likely effects.
A3: (1) Shortage: quantity demanded at ceiling exceeds quantity supplied → Qd > Qs. (2) Non-price rationing: queues, coupons, or black markets; potential quality deterioration and deadweight loss.
Q4 (Long answer): A unit tax t is imposed on sellers. Explain with a diagram how tax affects equilibrium price, quantity, government revenue and welfare.
A4 (outline):
- Supply shifts up by t (vertical gap t between pre-tax and post-tax supply at each Q).
- New equilibrium: higher price paid by buyers (P_b), lower price received by sellers (P_s = P_b − t), and reduced quantity Q_tax.
- Government revenue = t × Q_tax (rectangle between P_b and P_s up to Q_tax).
- Welfare: consumer surplus falls, producer surplus falls; part of lost surplus transfers to government as revenue, remainder is deadweight loss (triangles on either side of Q_tax between supply & demand where trades no longer occur).
- Incidence: burden split depends on relative elasticities — the less elastic side bears more of the tax.
Q5 (Numerical): Demand: Qd = 100 − P. Supply: Qs = 20 + 2P. A per-unit tax t = 2 is imposed on sellers. Find new equilibrium price paid by buyers, price received by sellers and quantity.
A5: With tax on sellers, supply effectively becomes Qs = 20 + 2(P − t) if we express in buyers’ price P. Alternatively shift supply up by 2: original supply relation in terms of price received Ps: Q = 20 + 2Ps. Buyers pay P = Ps + 2. Substitute in demand: 100 − P = 20 + 2Ps → 100 − (Ps + 2) = 20 + 2Ps → 98 − Ps = 20 + 2Ps → 78 = 3Ps → Ps = 26 → buyers’ price P = Ps + 2 = 28. Quantity Q = 20 + 2(26) = 72.
18. Longer practice question (CBSE style — 8 marks) with model answer
Q: Explain the effects of a binding price ceiling on market equilibrium. Use a diagram. Discuss two reasons why government may still impose such ceilings and mention two disadvantages.
Model Answer (points to include):
- Definition: price ceiling is a legal maximum price. If set below equilibrium (Pc < P*), it is binding and prevents price from reaching market-clearing level.
- Diagram: draw D and S, equilibrium (P*, Q*). Draw horizontal line at Pc below P*. At Pc, Qd > Qs — show shortage (vertical gap).
- Effects: shortage (Qd − Qs), non-price rationing (queues, coupons), potential for black markets and quality reduction as sellers cut costs.
- Reasons for government to impose: (a) protect consumers (essential goods affordability), (b) political reasons or to control inflation for staple goods.
- Disadvantages: (a) misallocation and deadweight loss (loss of mutually beneficial trades), (b) emergence of black markets and inequitable allocation (favours those with better access).
- Conclude: While ceilings can support equity/affordability short-term, they create inefficiencies; better targeted transfers may be less distortionary.
19. How to answer CBSE questions (exam strategy)
- Use diagrams: Always draw clean, labeled diagrams for equilibrium, tax, ceiling/floor questions. Label axes, curves, equilibrium points, and shaded areas.
- State conditions clearly: e.g., binding vs non-binding, shutdown conditions (if relevant), who pays tax (incidence).
- Short & precise: For 2–3 mark questions, give definitions and 1–2 short implications. For 6–8 mark questions, structure: definition, diagram, effects, reasons/examples, conclusion.
- Practice algebra: Be fluent solving linear supply/demand equations; examiners often use simple linear forms in numerical questions.
This guide condenses the essential concepts and exam techniques for Chapter 5 — Market Equilibrium. Practice diagrams, algebraic problems and the sample Q&A above. Good luck!
