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Theory of Supply and Elasticity of Supply — Notes

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1. Supply and stock

Supply is the quantity a seller is willing and able to offer for sale at a given price in a given period. Stock is the total quantity held at a point of time.

  • Supply can at most equal stock in the short period.
  • Perishable goods: supply is close to stock.
  • Durable goods: sellers may hold back stock and supply less.
Supply can equal stock but never exceed it in the short period.
StockSupply at today's priceWhy
Kochi fisherman (imagined)500 kg500 kgPerishable: must sell almost all today
Saharanpur woodcraft dealer (imagined)300 boxes120 boxesDurable: holds back 180 for a better price

Key terms

Supply

Quantity offered for sale at a given price during a given period.

Stock

Total quantity of a good held by a seller at a point of time.

2. Determinants of supply and the supply function

Sx = f(Px, Pf, T, Tx, G, Pr, N): own price, prices of factors, technology, taxes and subsidies, goal of the firm, prices of related goods, number of firms.

Lower costs (cheaper inputs, better technology, subsidies), a sales goal and more firms increase supply; higher costs, taxes and dearer competing products decrease it.

Table of the determinants of supply: own price, prices of inputs, technology, taxes and subsidies, the goal of the firm, prices of related goods and the number of firms, with the direction of their effect on supply
DeterminantChangeEffect on supply
Own price (Px)RisesExtension (movement up the curve)
Prices of inputs (Pf)RiseDecrease (shift left)
Technology (T)ImprovesIncrease (shift right)
Taxes / subsidies (Tx)Tax up / subsidy upDecrease / increase
Goal of the firm (G)Sales rather than profitIncrease
Prices of related goods (Pr)Competing good dearerDecrease
Number of firms (N)More firmsIncrease in market supply
Sx = f(Px, Pf, T, Tx, G, Pr, N)

Key terms

Supply function

The relationship between quantity supplied and its determinants.

Competing good

Another product that uses the same resources, such as wheat and mustard on the same land.

3. The law of supply and market supply

Law of supply: other things constant, quantity supplied rises with price and falls with it; the curve slopes upward, because extra output usually costs more and a higher price makes it profitable.

Market supply is the horizontal sum of individual supplies: add quantities at each price.

Imagined figures: market supply = sum of quantities at each price.
Price per packet (₹)Unit AUnit BUnit CMarket supply
100105015
20020151045
30030252075
400403530105
Imagined figures: add quantities across at each price.
Imagined figures: a higher price, a larger quantity, the same curve.

Key terms

Horizontal summation

Adding the quantities of all sellers at each price to get market supply.

4. Exceptions to the law of supply

  • Labour: beyond a high wage the supply curve bends backward as workers prefer leisure.
  • Rare goods: quantity cannot be increased.
  • Agricultural goods: output fixed until the next season.
  • Expectations: a trader expecting a price rise may withhold stock now.
Schematic, imagined figures: the backward-bending supply curve of labour.
Table of four exceptions to the law of supply: labour at high wages, rare goods, agricultural goods in the short period and an expected future price rise, each with an imagined example and the reason
ExceptionImagined exampleWhy the law fails
Labour at high wagesA Chennai surgeon cuts her hours after a fee risePrefers leisure at high income
Rare goodsOld Mughal coinsQuantity cannot be increased
Agricultural goodsPunjab wheat after sowingOutput fixed until next season
Expected price riseA Guntur chilli trader withholds stockSells less now to sell later at more

Key terms

Backward-bending supply curve of labour

A labour supply curve that turns back at high wages, as hours worked fall.

5. Movement along versus shift of the supply curve

MovementShift
CauseOwn priceOther determinants
MoreExtensionIncrease
LessContractionDecrease

On a diagram, a movement changes the point on one curve; a shift moves the whole curve.

Table distinguishing a movement along the supply curve (extension and contraction, caused by the own price) from a shift of the curve (increase and decrease, caused by other determinants)
Movement along the curveShift of the curve
CauseChange in the good's own priceChange in any other determinant
Upward / rightwardExtension: more at a higher priceIncrease: more at every price
Downward / leftwardContraction: less at a lower priceDecrease: less at every price
DiagramPoint moves on one curveWhole curve moves to S2
Imagined figures: more offered at the same price, so the whole curve moves.
Reading a shift

Key terms

Extension of supply

More supplied at a higher own price, on the same curve.

Increase in supply

More supplied at every price because another determinant changed.

6. Elasticity of supply

Es = (ΔQ ÷ Q) ÷ (ΔP ÷ P), using the original values; Es is normally positive.

Degrees: perfectly elastic (∞, horizontal), perfectly inelastic (0, vertical), unitary (1), relatively elastic (> 1), relatively inelastic (< 1).

Geometric method for straight lines: meets the price axis → Es > 1; passes through the origin → Es = 1; meets the quantity axis → Es < 1.

Table of the five degrees of elasticity of supply: perfectly elastic is infinite with a horizontal curve, perfectly inelastic is zero with a vertical curve, unitary is one on a line from the origin, relatively elastic is above one on a line meeting the price axis, and relatively inelastic is below one on a line meeting the quantity axis
DegreeCoefficientCurveImagined example
Perfectly elasticEs = ∞Horizontal lineAny quantity of printed forms at a fixed rate
Perfectly inelasticEs = 0Vertical lineSeats for one cricket match
Unitary elasticEs = 1Straight line from the originMango boxes from a Ratnagiri orchard
Relatively elasticEs > 1Line meeting the price axisSarees from a Surat weaver
Relatively inelasticEs < 1Line meeting the quantity axisBrass lamps from a Moradabad unit
Imagined figures: ₹500 to ₹600, 40 to 52 sarees a week.
StepWorkingResult
Percentage change in quantity(52 − 40) ÷ 40 × 10030 per cent
Percentage change in price(600 − 500) ÷ 500 × 10020 per cent
Es30 ÷ 201.5
DegreeEs > 1Relatively elastic
Geometric method: read the degree from where the extended line meets the axes.
Schematic: three special degrees of elasticity of supply.

Key terms

Elasticity of supply

Responsiveness of quantity supplied to a change in the good's own price.

Unitary elastic supply

Quantity supplied changes in the same proportion as price.

Exam tips

Common mistakes

  • Defining supply without a price and a period, or treating it as the same as stock.
  • Calling a change caused by the own price a shift, or a change caused by costs an extension.
  • Adding prices instead of quantities when deriving market supply.
  • Dividing by the new values instead of the original ones in the percentage method.
  • Judging elasticity of a straight supply line by its slope instead of where it meets the axes.

How marks are usually awarded

  • 1 mark: one correct option or term.
  • 2 marks: definition with an example, or formula and answer.
  • 3 marks: working, answer and the degree, or three explained points.
  • 5 marks: parts answered in order, with described diagrams and reasons.