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Class XII 📈 Economics Ch 11 of 11

Market Equilibrium

CUET unit: Forms of Market

📌 Snapshot

  • How demand and supply fix price and quantity, and what shifts, entry and exit or price controls do to them.
  • Why a market drifts to equilibrium from either side, solved with schedules and equations you can redo in the exam.
  • Shifts of demand and supply, alone and together, and why free entry and exit pins the price at minimum average cost.
  • Price ceiling and price floor with worked numbers, plus the labour market and the traps NTA sets on all of it.

📖 Detailed Notes

Written and reviewed by Devendra Dubey, Mathematics & Commerce faculty at UniDrill (M.Sc. Mathematics, Osmania University · 10 years teaching). Based on NCERT Economics Class XII (Introductory Microeconomics), Chapter 5.

Who sets the price of a kilogram of wheat?

Nobody, and everybody. No farmer decides it and no shopper decides it. Yet on any given day the wheat in your town sells at roughly one price, and that price changes when the monsoon fails or when incomes rise. This chapter explains that quiet process. Chapter 2 gave us how buyers behave (the demand curve) and Chapter 4 gave us how sellers behave (the supply curve). Here we put the two on the same page and ask where they agree.

Equilibrium, excess demand and excess supply

In a perfectly competitive market every buyer is trying to get the most satisfaction and every firm is trying to make the most profit. An equilibrium is a situation where the plans of all buyers and firms match, so the market clears: the quantity firms wish to sell equals the quantity buyers wish to buy.

$$q_D(p^{\ast}) = q_S(p^{\ast})$$

The price at which this happens is the equilibrium price $p^{\ast}$ and the quantity traded is the equilibrium quantity $q^{\ast}$. If at some price supply is greater than demand there is excess supply; if demand is greater than supply there is excess demand. Equilibrium is the price with zero excess demand and zero excess supply.

Why the market moves there. From the time of Adam Smith it has been argued that an "Invisible Hand" changes the price whenever there is an imbalance: it raises the price when there is excess demand and lowers it when there is excess supply. Think of a half empty mandi in the evening. Sellers with unsold stock cut their price rather than carry it home, which also tempts more buyers. Think of a crowded queue for scarce sugar: some buyers will pay a little more to get served, which pushes the price up.

Market price Quantity demanded vs supplied What happens next
Below the equilibrium price Demand exceeds supply: excess demand Unserved buyers offer more; price rises; quantity demanded falls and quantity supplied rises
At the equilibrium price Demand equals supply No pressure to change: the market clears
Above the equilibrium price Supply exceeds demand: excess supply Unsold sellers cut price; price falls; quantity demanded rises and quantity supplied falls

On a graph with price on the vertical axis and quantity on the horizontal axis, the demand curve DD slopes downward and the supply curve SS slopes upward. Equilibrium is the single point where they cross. At a price below that point, the supply curve lies to the left of the demand curve, and the gap between them is excess demand. Above that point the supply curve lies to the right, and the gap is excess supply.

Worked example: equilibrium from equations. The market for wheat has demand $q_D = 120 - 2p$ and supply $q_S = 30 + p$, with quantity in kg and price in ₹ per kg. Find the equilibrium and the excess demand at ₹20.

Step What we do Result
1 Equilibrium means $q_D = q_S$ $120 - 2p = 30 + p$
2 Collect the $p$ terms $90 = 3p$
3 Solve for the price $p^{\ast} = 30$
4 Put the price in either curve $q^{\ast} = 120 - 60 = 60$ kg (check: $30 + 30 = 60$)
5 Excess demand at ₹20 $q_D = 80$, $q_S = 50$, so excess demand is 30 kg

Excess demand in general: $ED(p) = q_D - q_S = (120 - 2p) - (30 + p) = 90 - 3p$. It is positive for any price below ₹30 and negative (that is, excess supply of $3p - 90$) for any price above ₹30.

Price (₹ per kg) Quantity demanded (kg) Quantity supplied (kg) Position
10 100 40 Excess demand 60
20 80 50 Excess demand 30
30 60 60 Equilibrium
40 40 70 Excess supply 30
50 20 80 Excess supply 60

Common wrong step. Stopping at $p^{\ast} = 30$ and writing 30 as the answer to "equilibrium quantity", or setting the two curves equal and then substituting into only one of them with an arithmetic slip. Always substitute into both curves; they must give the same quantity.

Pause and predict: wheat is selling at ₹40 in the table above. Who is unhappy, and which way does the price move?

Check your answer: Sellers. They want to sell 70 kg but buyers will take only 40 kg, so 30 kg is unsold. Sellers will lower their price, and the price keeps falling until it reaches ₹30, where both sides want 60 kg.

Beyond the textbook. For the exam: the market reaches equilibrium because the Invisible Hand moves the price in the right direction. In reality: adjustment takes time. When tomatoes arrive in a glut, the wholesale price falls within days. But farmers only respond with smaller sowings the next season, and by then the shortage may have pushed the price up. Prices in real markets overshoot and swing around equilibrium rather than landing on it instantly.

The labour market in brief

The same demand and supply logic fixes the wage rate, but the roles are reversed: households supply labour (in hours of work) and firms demand it.

Demand for labour. A profit-maximising competitive firm keeps hiring labour until the cost of one more unit equals what it brings in. The extra cost is the wage $w$. The extra revenue is the marginal revenue product of labour: the extra output from one more worker (MPL) times the marginal revenue from selling it (MR).

$$w = \text{MRPL}, \qquad \text{MRPL} = \text{MR} \times \text{MPL}$$

A competitive firm has MR equal to the price, so here MRPL equals the value of marginal product of labour, $\text{VMPL} = p \times \text{MPL}$. While VMPL exceeds the wage, one more unit of labour adds more to revenue than to cost, so the firm hires it. When VMPL falls below the wage, it cuts labour.

Why labour demand slopes down. Because of diminishing marginal product, MPL falls as more labour is hired. The firm hires until $w = \text{VMPL}$. If the wage rises, VMPL must rise to match it, which needs a higher MPL, and that is only possible with less labour. So a higher wage means fewer labour hours demanded.

Quick check with numbers. The output sells at ₹10 per unit and the marginal product of successive hours of labour is 12, 9, 7, 5 and 3 units.

Hour of labour MPL (units) VMPL (₹)
1 12 120
2 9 90
3 7 70
4 5 50
5 3 30

At a wage of ₹70 the firm hires 3 hours (the third hour just pays for itself). At ₹50 it hires 4 hours and at ₹90 only 2. A lower wage means more hours demanded: the labour demand curve slopes downward.

Supply of labour. An individual chooses between income and leisure. When the wage rises, two effects pull in opposite directions. Leisure becomes costlier (every hour off means more money forgone), so she works longer. But she also becomes richer, so she can afford more leisure and may work less. At low wages the first effect dominates and her labour supply rises with the wage. At high wages the second dominates and her supply falls. The individual labour supply curve is therefore backward bending. The market supply curve of labour, however, is upward sloping, because even if some people cut hours at high wages, many more are drawn into work.

The wage rate is where the downward sloping labour demand curve meets the upward sloping market labour supply curve.

Goods market Labour market
Who supplies Firms Households
Who demands Households Firms
What is traded A good (kg, units) Hours of work
Price Price of the good Wage rate

Shifts in demand and supply (fixed number of firms)

Everything so far kept tastes, incomes, input prices and technology fixed. When one of those changes, a whole curve shifts, and the equilibrium moves.

A demand shift. Say the demand curve shifts right (more is demanded at every price). At the old price there is now excess demand, so the price rises, and the new equilibrium has a higher price and a higher quantity. A leftward shift lowers both. So price and quantity move in the same direction when demand shifts.

A supply shift. Say the supply curve shifts right. At the old price there is now excess supply, so the price falls; the new equilibrium has a lower price and a higher quantity. A leftward shift raises the price and lowers the quantity. So price and quantity move in opposite directions when supply shifts.

What changes Curve that shifts Direction Equilibrium price Equilibrium quantity
Income rises (normal good such as clothes) Demand Right Rises Rises
Income rises (inferior good) Demand Left Falls Falls
Number of consumers increases Demand Right Rises Rises
Price of an input rises Supply Left Rises Falls
Number of firms increases Supply Right Falls Rises

Income and the number of buyers have no effect on supply, and input prices and the number of firms have no effect on demand. Each cause moves only one curve.

Worked example: four single shifts. Start from the wheat market ($q_D = 120 - 2p$, $q_S = 30 + p$; equilibrium ₹30 and 60 kg). Find the new equilibrium for each change.

Change New curves Working New price (₹) New quantity (kg)
Demand rises by 30 at every price $q_D = 150 - 2p$ $150 - 2p = 30 + p$ gives $3p = 120$ 40 70
Demand falls by 30 at every price $q_D = 90 - 2p$ $90 - 2p = 30 + p$ gives $3p = 60$ 20 50
Supply falls by 30 at every price (dearer inputs) $q_S = p$ $120 - 2p = p$ gives $3p = 120$ 40 40
Supply rises by 30 at every price (more firms) $q_S = 60 + p$ $120 - 2p = 60 + p$ gives $3p = 60$ 20 80

Thinking: a shift changes the intercept of one equation, so redo the equating. A demand shift moves price and quantity the same way (both 40 and 70 are up, both 20 and 50 are down). A supply shift moves them opposite ways (price 40 with quantity 40; price 20 with quantity 80).

Common wrong step. Treating a leftward supply shift as if it lowers the price because "the curve moved left". With less supplied at every price, buyers compete for scarcer goods and the price rises.

When both curves shift

If demand and supply shift together, the answer depends on the sizes of the shifts.

Shift in demand Shift in supply Equilibrium quantity Equilibrium price
Leftward Leftward Decreases May increase, decrease or stay the same
Rightward Rightward Increases May increase, decrease or stay the same
Leftward Rightward May increase, decrease or stay the same Decreases
Rightward Leftward May increase, decrease or stay the same Increases

The rule behind the table: when the shifts point the same way, both push quantity the same way, so quantity is certain, but they push price in opposite directions, so price depends on which is bigger. When the shifts point opposite ways, both push price the same way, so price is certain, and quantity is uncertain.

Worked example: same direction shifts. Demand rises by 30 at every price ($q_D = 150 - 2p$). Supply also rises, by different amounts. Starting point: ₹30 and 60 kg.

Supply rises by Supply curve Working New price (₹) New quantity (kg) Price compared with ₹30
0 $q_S = 30 + p$ $150 - 2p = 30 + p$ 40 70 Rises
30 $q_S = 60 + p$ $150 - 2p = 60 + p$ 30 90 Unchanged
60 $q_S = 90 + p$ $150 - 2p = 90 + p$ 20 110 Falls

Quantity rises every time (70, 90, 110), but price rises, stays put or falls depending on whether supply grew by less than, the same as, or more than demand.

Worked example: opposite direction shifts. Demand rises by 30 ($q_D = 150 - 2p$) and supply falls.

Supply falls by Supply curve Working New price (₹) New quantity (kg)
9 $q_S = 21 + p$ $150 - 2p = 21 + p$ gives $3p = 129$ 43 64
30 $q_S = p$ $150 - 2p = p$ gives $3p = 150$ 50 50

Price rises in both cases. Quantity rose from 60 to 64 in the first and fell to 50 in the second, so the effect on quantity is ambiguous.

Common wrong step. Answering "price will rise" for a demand rise and a supply rise, without comparing the sizes. With same-direction shifts the price can go either way (or nowhere); only the quantity is certain.

Pause and predict: a new fertiliser plant lowers input costs for wheat farmers at the same time as incomes (and demand) fall. What happens to price and quantity?

Check your answer: Supply shifts right and demand shifts left. Both push price down, so price falls for sure. Quantity depends on which shift is bigger, so it may rise, fall or stay the same.

Free entry and exit: the price is pinned down

So far the number of firms was fixed. Now let firms enter and leave freely, and assume all firms are identical.

Why the price settles at minimum average cost. Suppose firms are earning super-normal profit at the going price. This attracts new firms, which shifts the market supply curve right. With demand unchanged, the price falls, and the extra profit melts away. Entry stops only when each firm earns just normal profit. In the opposite case, if firms earn less than normal profit, some leave, supply shifts left, the price rises, and exit stops once firms are back to normal profit. A firm earns normal profit exactly when the price equals the minimum of its average cost. So with free entry and exit:

$$p = \min \text{AC}$$

The quantity is then read off the demand curve at that price, and each firm supplies its own output at that price.

$$n_0 = \dfrac{q_0}{q_{0f}}$$

On a graph, the "supply curve" in this case is a horizontal line at the minimum average cost, and equilibrium is where the demand curve meets it.

Worked example: price, quantity and number of firms. Market demand is $q_D = 350 - 5p$. Each identical firm supplies $q_f = 3p - 10$ when $p \ge 20$ and nothing below ₹20. Find the equilibrium with free entry and exit, then the effect of demand rising to $q_D = 450 - 5p$.

Step What we do Result
1 Firms supply only from ₹20, so minimum average cost is ₹20 $p_0 = 20$
2 Quantity from demand at that price $q_0 = 350 - 100 = 250$
3 Each firm's output at ₹20 $q_{0f} = 60 - 10 = 50$
4 Number of firms $n_0 = 250 \div 50 = 5$
5 After demand rises: price stays at min AC $p_1 = 20$
6 New quantity from new demand $q_1 = 450 - 100 = 350$
7 New number of firms $n_1 = 350 \div 50 = 7$

Compare with the case where the number of firms stays fixed at 5. Market supply is then $5(3p - 10) = 15p - 50$, so $450 - 5p = 15p - 50$ gives $p = 25$ and $q = 325$.

Fixed 5 firms Free entry and exit
New price ₹25 (up by ₹5) ₹20 (unchanged)
New quantity 325 (up by 75) 350 (up by 100)
Number of firms 5 7
Profit of each firm Super-normal (price above ₹20) Normal

A demand shift under free entry and exit changes quantity and the number of firms in the same direction as the shift, leaves the price unchanged, and changes the quantity by more than when the number of firms is fixed.

Common wrong step. Reading the price from the intersection of demand with a rising supply curve. With free entry and exit the price is already fixed by minimum average cost; only the quantity comes from demand. And "no profit" is the wrong summary: firms earn normal profit, which is inside average cost.

Price ceiling: a maximum price

A price ceiling is an upper limit on the price of a good or service, set by the government. It is usually placed on necessities such as wheat, rice, kerosene or sugar, and is set below the market price because at the market price some people cannot afford the good.

Suppose the ceiling is set below the equilibrium price. At that price buyers want more than sellers will supply, so there is excess demand: a shortage. Quantity actually traded is the smaller number, the quantity supplied. The government may then use rationing through fair price shops, with coupons limiting how much one buyer may take. The usual side effects are long queues, and since many buyers are not satisfied with their ration, some will pay extra, which creates a black market.

Worked example: a price ceiling. In the wheat market (equilibrium ₹30, 60 kg) the government fixes a ceiling.

Ceiling Binding? Quantity demanded (kg) Quantity supplied (kg) Outcome
₹20 Yes, below ₹30 $120 - 40 = 80$ $30 + 20 = 50$ Shortage of 30 kg; only 50 kg is sold
₹35 No, above ₹30 60 at the market price 60 at the market price Market stays at ₹30 and 60 kg

Thinking: a ceiling does nothing unless the legal price is below what the market would have charged. At ₹20, sellers will bring only 50 kg to the market even though buyers want 80 kg.

Common wrong step. Saying that 80 kg is sold at ₹20 because that is what consumers demand. Trade needs a willing seller as well as a willing buyer, so the quantity traded is the smaller of demand and supply, 50 kg.

Pause and predict: the government imposes a ceiling of ₹35 on the wheat market. What changes?

Check your answer: Nothing. The market price of ₹30 is already below the ceiling, so the ceiling does not bind.

Beyond the textbook. For the exam: a ceiling below the equilibrium price causes excess demand, handled by rationing. In reality: India's public distribution system sells grain such as rice and wheat through fair price shops at government fixed prices, using ration cards to limit how much each household can buy. The grain for these shops is bought by the government from farmers at support prices, so the same grain market has a floor on the farmer's side and a controlled price on the consumer's side.

Price floor: a minimum price

A price floor is a lower limit on the price, set by the government, for a good or service whose price it does not want to see fall too low. The best known cases are agricultural price support and minimum wages. The floor is set above the equilibrium price.

At a floor above the equilibrium price, sellers want to supply more than buyers want to buy: there is excess supply. In agricultural support the government must buy the surplus at the announced price so the price does not fall. With a minimum wage the same logic holds: a minimum above the equilibrium wage means more labour is offered than firms want to hire.

Worked example: a price floor. In the wheat market (equilibrium ₹30, 60 kg) the government sets a support price.

Floor Binding? Quantity demanded (kg) Quantity supplied (kg) Outcome
₹40 Yes, above ₹30 $120 - 80 = 40$ $30 + 40 = 70$ Surplus of 30 kg
₹25 No, below ₹30 60 at the market price 60 at the market price Market stays at ₹30 and 60 kg

If the government promises to buy all the surplus at ₹40, it must buy 30 kg, spending 30 × ₹40 = ₹1,200.

Common wrong step. Believing that producers get to sell the full 70 kg at ₹40 on their own. Private buyers want only 40 kg at that price. The extra 30 kg sells only because the government steps in as buyer.

Price ceiling Price floor
What it is Maximum legal price Minimum legal price
Where it binds Set below the equilibrium price Set above the equilibrium price
Result Excess demand (shortage) Excess supply (surplus)
Quantity traded without help Quantity supplied (smaller) Quantity demanded (smaller)
Familiar examples Rationed wheat, rice, kerosene, sugar Agricultural support prices, minimum wage
Usual side effects Queues, black market Government stock buying, unsold output

Beyond the textbook. For the exam: a minimum wage set above the equilibrium wage creates excess supply of labour. In reality: economists do not all agree on how large the employment effect of minimum wages is in practice. Studies of actual labour markets have found effects ranging from small to noticeable, partly because real firms have some wage setting power that the competitive model assumes away. The model is a clear first step for reasoning, not the last word.

Exam traps

The trap Why it's tempting The truth
Reporting the equilibrium price when asked for the quantity Solving for $p$ is the last algebra step Substitute $p$ back into a curve to get the quantity
"A rightward supply shift raises both price and quantity." Demand shifts move price and quantity together Supply shifts move them in opposite directions
"Excess demand makes the price fall." Goods look plentiful when a price drops Excess demand pushes the price up; excess supply pushes it down
"A ceiling always creates a shortage." It is a famous result Only a ceiling set below the equilibrium price binds
"A floor always creates a surplus." Same reason Only a floor set above the equilibrium price binds
"Same direction shifts: price must rise." Demand growth is the headline Quantity is certain; price depends on which shift is bigger
"With free entry and exit firms earn nothing." Super-normal profit is zero Firms earn normal profit, which is part of cost
"Both the individual and market labour supply curves bend backward." Both are called labour supply The individual curve bends back; the market curve slopes upward

Formula sheet

Quantity Formula Unit When to use
Equilibrium $q_D(p^{\ast}) = q_S(p^{\ast})$ kg or units Solve the two equations for price, then substitute for quantity
Excess demand $ED(p) = q_D - q_S$ kg or units Positive when price is below equilibrium
Excess supply $ES(p) = q_S - q_D$ kg or units Positive when price is above equilibrium
Hiring rule $w = \text{MRPL}$ ₹ per hour Labour demand of a firm
Marginal revenue product $\text{MRPL} = \text{MR} \times \text{MPL}$ ₹ per hour Any firm
Value of marginal product $\text{VMPL} = p \times \text{MPL}$ ₹ per hour Competitive firm, where MR equals price
Free entry and exit price $p = \min \text{AC}$ ₹ per unit Long run, identical firms
Number of firms $n_0 = \dfrac{q_0}{q_{0f}}$ firms Free entry and exit
Ceiling binds $p_c < p^{\ast}$ ₹ per unit Gives excess demand
Floor binds $p_f > p^{\ast}$ ₹ per unit Gives excess supply

60-second revision

Topic Lock this in
Equilibrium Plans match, market clears, $q_D = q_S$ at $p^{\ast}$
Out of equilibrium Excess demand pushes price up · excess supply pushes it down
Demand shift Right: price up, quantity up · left: both down (same direction)
Supply shift Right: price down, quantity up · left: price up, quantity down (opposite)
Both shift, same direction Quantity certain, price ambiguous
Both shift, opposite directions Price certain, quantity ambiguous
Labour market Firms demand, households supply · hire until $w = \text{VMPL}$ · individual supply bends back, market supply slopes up
Free entry and exit $p = \min \text{AC}$ · demand shift changes quantity and firms, not price
Price ceiling Maximum price below $p^{\ast}$ · excess demand · rationing, queues, black market
Price floor Minimum price above $p^{\ast}$ · excess supply · government buys the surplus

Where this chapter connects

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Q1. A market is said to be in equilibrium when:

▸ Show answer & explanation

Answer: B

Equilibrium means the quantity firms wish to sell equals the quantity consumers wish to buy, so the market clears. Option A describes excess supply, option C a price ceiling, and option D has nothing to do with the definition.

Q2. In a market, demand is $q_D = 240 - 3p$ and supply is $q_S = 40 + 2p$. The equilibrium price and quantity are:

▸ Show answer & explanation

Answer: A

Setting $240 - 3p = 40 + 2p$ gives $5p = 200$, so $p = 40$. Then $q_D = 240 - 120 = 120$ and $q_S = 40 + 80 = 120$. Option C wrongly uses a different equation, and option D is a price where demand and supply are not equal.

Q3. For the same market ($q_D = 240 - 3p$, $q_S = 40 + 2p$), at a price of ₹30 there is:

▸ Show answer & explanation

Answer: B

At ₹30, $q_D = 240 - 90 = 150$ and $q_S = 40 + 60 = 100$. Demand exceeds supply by 50 units, so there is excess demand and the price will rise toward ₹40.

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