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Market Mechanism: Equilibrium Price and its Applications — Notes

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1. Market equilibrium

Equilibrium is the price at which quantity demanded equals quantity supplied. It clears the market: no unsold stock and no unmet demand.

From equations Qd = a − bP and Qs = c + dP, set a − bP = c + dP and solve for P, then find Q. Example (imagined Kolhapur jaggery): 120 − 2P = 3P − 30 gives ₹30 and 60 t.

Imagined Kolhapur mandi: Qd = 120 − 2P, Qs = 3P − 30, so E = (60 t, ₹30).
Computed from Qd = 120 − 2P and Qs = 3P − 30.
Price (₹ per kg)Quantity demanded (t)Quantity supplied (t)Situation
208030Excess demand 50
257045Excess demand 25
306060Equilibrium
355075Excess supply 25
404090Excess supply 50

Key terms

Equilibrium price

The price at which quantity demanded equals quantity supplied.

Market-clearing

No surplus and no shortage at the ruling price.

2. Excess demand and excess supply

  • Excess demand (price below E): buyers compete, the price rises; demand contracts and supply extends. At ₹20: 80 − 30 = 50 t.
  • Excess supply (price above E): sellers cut the price, which falls; demand extends and supply contracts. At ₹40: 90 − 40 = 50 t.

During this adjustment no curve shifts: buyers and sellers move along their curves.

Below E the price is pushed up; above E it is pushed down.
The same logic runs in reverse above E

Key terms

Excess demand

Quantity demanded minus quantity supplied at a price below equilibrium.

Excess supply

Quantity supplied minus quantity demanded at a price above equilibrium.

3. Changes in demand or in supply

  • Demand increases: price and quantity both rise. Demand decreases: both fall.
  • Supply increases: price falls, quantity rises. Supply decreases: price rises, quantity falls.

To calculate, solve the new pair of equations; the change in quantity is smaller than the shift because the price also changes.

Table of single shifts: a demand increase raises price and quantity; a demand decrease lowers both; a supply increase lowers price and raises quantity; a supply decrease raises price and lowers quantity
Change (other side fixed)PriceQuantity
Demand increasesRisesRises
Demand decreasesFallsFalls
Supply increasesFallsRises
Supply decreasesRisesFalls
Imagined shifts of 25 t at every price: Qd = 145 − 2P (D1) and Qd = 95 − 2P (D2).
Imagined shifts: Qs = 3P − 5 (S1) and Qs = 3P − 55 (S2).
Worked example table for demand shifts in the jaggery mandi: the original equilibrium at 30 rupees and 60 tonnes, festival demand giving 35 rupees and 75 tonnes, and a health campaign giving 25 rupees and 45 tonnes
SituationEquation pairPrice (₹)Quantity (t)
Before the festival120 − 2P = 3P − 303060
Festival demand145 − 2P = 3P − 303575
Health campaign95 − 2P = 3P − 302545

Key terms

Shift

A change in a non-price determinant moves the whole curve.

4. Simultaneous changes

  • Same direction: quantity is certain (rises if both increase); price depends on which shift is larger; equal shifts leave the price unchanged.
  • Opposite directions: price is certain (rises if demand rises and supply falls); quantity depends on the relative shifts.

Imagined check: Qd = 145 − 2P with Qs = 3P − 5 gives ₹30 and 85 t.

Equal shifts in the same direction leave the price unchanged.
DemandSupplyPriceQuantity
IncreasesIncreasesDepends on relative shiftsRises
DecreasesDecreasesDepends on relative shiftsFalls
IncreasesDecreasesRisesDepends on relative shifts
DecreasesIncreasesFallsDepends on relative shifts
Equal shifts: Qd = 145 − 2P and Qs = 3P − 5 meet at the old price.
Worked example table: when demand and supply both rise by 25 tonnes at every price, the jaggery price stays at 30 rupees and the quantity rises from 60 to 85 tonnes
CaseEquation pairPrice (₹)Quantity (t)
Original120 − 2P = 3P − 303060
Both up by 25 t145 − 2P = 3P − 53085

Key terms

Simultaneous change

Demand and supply shifting in the same period.

5. Price ceiling, rationing and black markets

A price ceiling is a legal maximum set below equilibrium to protect consumers. It creates a shortage (Qd > Qs). The government shares the supply by rationing (ration cards, fair-price shops), and some sellers sell secretly above the limit in a black market.

Imagined atta: at ₹25, Qd = 100 and Qs = 50, a shortage of 50 t.

Imagined hill district: Qd = 200 − 4P, Qs = 6P − 100.
Worked example table for the atta ceiling: the free market clears at 30 rupees and 80 tonnes; at the ceiling of 25 rupees demand is 100 and supply 50, a shortage of 50 tonnes
StepWorkingResult
Free-market price200 − 4P = 6P − 100P = ₹30, Q = 80 t
Demand at the ceiling200 − 4 × 25100 t
Supply at the ceiling6 × 25 − 10050 t
Shortage100 − 5050 t
Why a ceiling needs rationing

Key terms

Price ceiling

A legal maximum price below equilibrium.

Rationing

Sharing a scarce good by quota rather than by price.

Black market

Illegal sale of a controlled good above its legal price.

6. Price floor and minimum support price

A price floor is a legal minimum set above equilibrium to protect producers. It creates a surplus (Qs > Qd). In India, minimum support prices for notified crops are announced by the Government of India on the recommendation of the CACP; public agencies buy the surplus and hold it as buffer stock, part of which goes to ration shops.

Imagined lentils: at 70, Qs = 250 and Qd = 150, a surplus of 100 thousand quintals.

Imagined district: Qd = 500 − 5P, Qs = 5P − 100 (P in ₹ hundred per quintal).
How a support price is kept in force
Quantities in thousand quintals; price in ₹ hundred per quintal.
StepWorkingResult
Free-market price500 − 5P = 5P − 100P = 60, Q = 200
Supply at the support price5 × 70 − 100250
Demand at the support price500 − 5 × 70150
Surplus to procure250 − 150100
Two-column table of the gains of a support price (assured farm incomes, buffer stocks, grain for ration shops) and its costs (public spending, storage and wastage, higher consumer prices)
GainsCosts and risks
Assured, stable income for farmersPublic spending on procurement
Buffer stocks for lean yearsStorage costs and possible wastage
Grain for ration shopsConsumers pay above the free-market price
Comparison table of a price ceiling and a price floor: position relative to equilibrium, market result, support needed, who is helped and the main risk
Price ceilingPrice floor
PositionBelow equilibriumAbove equilibrium
ResultShortageSurplus
Support neededRationingProcurement
HelpsConsumersProducers
RiskBlack marketStorage cost, wastage

Key terms

Price floor

A legal minimum price above equilibrium.

Minimum support price

The price at which the government stands ready to buy a notified crop.

Buffer stock

Grain held by the government to steady supplies and prices.

Exam tips

Common mistakes

  • Placing a ceiling above equilibrium (it would have no effect) or a floor below it.
  • Saying excess demand shifts the demand curve: the adjustment is a movement along both curves.
  • Adding a shift to the old quantity instead of solving the new pair of equations.
  • Claiming a definite price change when both curves move the same way by unknown amounts.
  • Saying rationing removes a shortage: it only shares it.

How marks are usually awarded

  • 1 mark: the correct option or a one-line answer.
  • 2 marks: two points, or a labelled diagram with one point.
  • 3 marks: working with the answer and a comment.
  • 5 marks: each part answered in order with diagrams.
  • Board papers also set 4-mark (2 + 2) and 8-mark (4 + 4) questions in parts.