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Published byEdmund Morgan Modified over 6 years ago
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Elasticity 1. A definition & determinants of elasticity
Price elasticity 2. Elasticity & consumer expenditure 3. Measurement of elasticity Arc method Point method 4. Other measures of elasticity
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1. Definitions and determinants
If price rises, demand will fall By how much? Responsiveness of demand – elasticity Definitions ‘the responsiveness of demand and supply to changes in price’ Price elasticity of demand (PÎd): ‘The responsiveness of quantity demanded to a change in price’ 8
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Market supply and demand
Price a P1 D O Q2 Q1 fig Quantity
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Determinants of PÎd Why does the price elasticity vary?
1. number and closeness of substitute goods The larger the number of substitute goods (that satisfy the same need), the greater (PÎd) will be E.g. holidays v. electricity 2. the proportion of income spent on the good If this is high, a price rise will force a substantial reduction in demand 3. Time Time to adjust spending patterns Short run – inelastic Long run - elastic 8
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2. Elasticity and consumer expenditure
Total expenditure (TE) = P x Q = Total Revenue (TR) See figure
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Total expenditure Consumers’ total expenditure = firms’ total revenue
£2 x 3m = £6m D Q (millions of units per period of time)
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Elasticity & consumer expenditure
What happens to TE (and TR) as price changes? A) elastic demand P, Q proportionately more (TE) P , Q proportionately more (TE )
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Elastic demand between two points
4 D 20 Q (millions of units per period of time)
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Elasticity & consumer expenditure
B) inelastic demand P, Q proportionately less (TE ) P , Q proportionately less (TE )
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Inelastic demand between two points
4 D 20 Q (millions of units per period of time)
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Totally inelastic demand (PÎD = 0)
b P1 a O Q1 Q
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Infinitely elastic demand (PÎD = ¥)
b P1 D O Q1 Q2 Q
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Unit elastic demand (PÎD = -1)
20 b 8 D O 40 100 Q
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3. Measurement of elasticity
Elasticity varies along the demand ( & supply) curve Price-elastic (>1) price-inelastic(0-1) unitary (=1) (1) arc method (between two points on D) price elasticity of demand: Q/Q ÷ P/P using the average or 'mid-point' method Q/average Q ÷ P/average P
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Measuring elasticity using the arc method
DQ DP Ped = mid Q mid P m n P (£) Demand Q (000s)
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Measurement of elasticity
(2) The Point Method Price elasticity of demand dQ / dP x P / Q ‘d’ – infinitesimally small change (see calculus) dQ / dP – rate of change of quantity demanded with respect to price
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Measuring elasticity at a point
50 Ped = (1 / slope) x P/Q r 30 P D 40 100 Q
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4. Other measures of elasticity
Income elasticity of demand ‘…the responsiveness of demand to a change in consumer income, Y.’ Luxuries (>1), necessities (0-1),inferior goods(<0) Cross-price elasticity of demand ‘…responsiveness of demand for one product to a change in the price of another product.’ Substitutes or complements Price elasticity of supply Definition & determinants? 11
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