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Quick Quiz 27th Sept 2011 1. Define demand (1 mark) 2. Illustrate the impact on demand when there is a rise in price (4 marks) 3. Explain 2 factors that will increase demand (4 marks) Elasticity of Demand Objectives • To understand and be able to calculate price, income and cross elasticity of demand • Be able to evaluate the business relevance of these elasticity estimates Price Elasticity of Demand (PED) • Measures the responsiveness of demand for a product to a change in its price • When demand is very responsive to changes in price it is said to be ‘price elastic’ • When demand is not very responsive to changes in price it is said to be ‘price inelastic’ Calculating PED PED = % ∆ QD %∆P Remember • The %Δ QD is found by dividing the change in QD by the original QD Δ QD X 100 Original QD = %Δ QD And Δ P is found by dividing the change in P by the original P Example • The price of a product rises from £20 to £24 and demand falls from 400 to 300 • The PED will be -25%/20% = -1.25 • Note PED is generally negative so for ease of comparing elasticities, economists tend to ignore the minus sign when interpreting figure Value Perfectly Inelastic Inelastic Unitary Elastic Perfectly Elastic Description of Response A change in price will have no effect on QD 0<PED<1 The %Δ in QD is less than the %Δ in P (i.e. demand is not very responsive to changes in P) PED=1 The %Δ in QD equals the %Δ in price PED= 0 The %Δ in QD is more than the %Δ in P (i.e. demand is very responsive to changes in P) PED= ∞ A change in price will cause an infinite change in the QD PED>1 Diagrams • Perfectly Inelastic Demand- ‘for a given change in price there will be no change in quantity demanded’ • Perfectly Elastic Demand- ‘for a given change in price there will be an infinite change in quantity demanded’ Inelastic Demand- ‘for a given change in price there will be a proportionately smaller change in quantity demanded’ • Elastic Demand- ‘for a given change in price there will be a proportionately greater change in quantity demanded’ • D P P D Q Perfectly Inelastic Perfectly Elastic Q Different products are likely to have different elasticities of demand. The elasticity will depend on a number of factors (to follow) Price D Inelastic demand D Quantity Quantity Elastic demand Unit PED • If price is raised by a certain percentage then the quantity demanded will fall by the same percentage • Eg. A 10% increase in price will lead to a 10% fall in demand • Revenue does not change as the price changes P D A curve with unitary elasticity is a rectangular hyperbola with the formula PQ=k (k is a constant value) Q The 10% Rule • Always use the 10% rule when explaining elasticities • Eg. What does a PED of -1.9 indicate? • Demand is elastic. A change in the price will lead to a proportionately larger change in quantity demanded. I.e. for a 10% rise in price, there will be a 19% fall in quantity demanded. • Calculation: QD/10%= -1.9 • So 10%x -1.9= QD= -19% • • • • • What about these ones? PED= -0.7 PED= -1.3 PED=-2 PED=-1 Short Activity on PED PED and Revenue Total Revenue • TR= Price x no. of units sold • Complete the next activity- PED and Revenue Activity • A firm producing decorative candles lowers the price of one of its scented candles from £4 to £3.60 and finds that the weekly quantity demanded increases from 600 per week to 630 1. Calculate the PED for the scented candles, showing your working 2. Calculate the change in total revenue 3. Illustrate the demand curve, showing the change in revenue 4. Should the firm have lowered the price of their candles? Activity • A pizzeria lowers the price of its most popular takeaway pizza, the Margherita, from £5 to £4.50 and finds that the weekly quantity demanded increases from 60 to 72 1. Calculate the PED, showing your workings 2.Calculate the change in total revenue 3.Illustrate the demand curve, showing the change in total revenue 4.Should the firm have lowered its price? Conclusions • If a firm has a product which is price inelastic and it lowers it’s price it will receive a fall in total revenue, if it increases its price it will receive an increase in total revenue • If a firm has a product which is price elastic and it lowers it’s price it will receive an increase in total revenue, if it increases it’s price it will receive a fall in total revenue. Elasticity along a straight line • Elasticity is not a measure of the slope of the demand curve • For a straight line downward sloping demand curve, the value of PED falls as price falls • Pencil, ruler and graph paper..... Illustrate a demand curve using the following points Point A £20 Qty 60 Point B £18 Qty 80 Point C £10 Qty 160 Point D £8 Qty 180 Calculate the elasticity as we move from point A to point B • Calculate the elasticity as we move from point C to point D • What can we conclude from this? • • • • • P Price Elasticity along a straight line demand curve A B D1 C Q P Price Elasticity along a straight line demand curve At point A PED is ∞ (Q=0) A At point C PED is 0 (P=0) B At point B (exactly half way along the line) PED is 1 D1 C Q Factors Affecting PED • In pairs • Think of a product which is likely to have price inelastic demand • Why does is have price inelastic demand? Factors Affecting PED • Availability of substitutes, less substitutes = more inelastic • Time period- longer= more price elastic, habit, lack of info, durable goods purchased, l/t can change • Necessities have a lower PED than luxuries- increase in P unlikely to reduce D • Goods which form a relatively low proportion of total expenditure have lower elasticities than those which form a more significant proportion Questions • Answer questions on sheet • PED WORKSHEET