Q d Exploring Elasticity Ed = Avg % + 00 QS 3P Avg =1 =Q (P) Qu an t ity % Dem and Pri A ce B It’s a fact… AND… the demand for different products will respond differently to changes in price. the supply of different products will respond differently to changes in price. Elasticity measures a curve’s responsiveness to some factor… Price Elasticity of Supply (Point) Supply Curve 10 = 0.5 20 35 30 Price 25 20 Supply 15 10 5 0 0 5 10 15 20 25 30 35 Quantity such as price! Es = % Quantity Supplied % Price 10 = 0.5 20 = 1.0 Thus, the elasticity of Supply is 1. Otherwise known as “unitary” Elasticity. 1 Price Elasticity of Supply (Point) 10 = 0.5 20 35 30 Price 25 20 Supply 15 10 0 5 10 15 20 25 30 35 Quantity % Es = Quantity Supplied % Supply Curve Price 30 = 1.0 25 20 Supply 15 10 0 0 5 Otherwise known as “unitary” Elasticity. 10 = 0.33 30 30 Price 25 20 Supply 15 10 0 5 10 15 20 25 30 35 Quantity % Es = Quantity Supplied % Price 30 Price 25 20 Supply 15 10 5 0 0 5 10 15 20 25 30 35 Quantity Es = Avg % Quantity Supplied Avg % 5 = 0.22 22.5 30 35 % Es = Quantity Supplied % Price Supply Curve This would be considered “elastic.” 10 = 0.40 25 30 = 1.65 This would still be considered quite “elastic.” 10 = 0.40 25 35 25 35 Price Elasticity of Supply (ARC) Supply Curve 20 = 2.0 Price Elasticity of Supply (ARC) Thus, the elasticity of Supply is 1.65 5 0 5 = 0.20 25 15 Quantity 25 Price Supply Curve 10 5 = 0.25 20 Thus, the elasticity of Supply is 2. 5 Price Elasticity of Supply (Point) 35 10 = 0.50 20 35 Thus, the elasticity of Supply is 1. 5 0 10 = 0.5 20 Price Elasticity of Supply (Point) Price Supply Curve 20 Supply 15 10 5 0 0 5 10 15 20 25 30 35 Quantity Es = Avg % Quantity Supplied Avg % Price 5 = 0.22 22.5 = 1.82 Thus, the elasticity of Supply is 1.82 This would still be considered quite “elastic.” Elasticity Coefficients Elastic: greater than 1 = 1.82 Thus, the elasticity of Supply is still 1.82 Inelastic: less than 1 Unitary: 1 Perfectly inelastic: ∞ Perfectly elastic: 0 Yes, this is still quite “elastic.” Price 2 Extreme Elasticities: Extreme Elasticities: Perfectly Inelastic (Supply) Perfectly Elastic (Supply) S 50 Price 40 30 20 10 0 0 10 20 30 40 50 60 Quantity Perfectly inelastic supply represents a situation wherein the quantity supplied is fixed, regardless of price. A good example would be land (for all purposes, real estate, agriculture, etc). The supply of land is fixed, regardless of price. Such an elasticity will result in a 0% change in quantity in response to any change in price. Zero divided by any number is zero, so the elasticity coefficient will be zero (0). 50 40 S 30 20 10 0 0 10 20 30 40 Price Elasticity of Demand (ARC) Demand Curve price drops, producer can just store the product and wait for the price to rise. product? Example, beef and hides. Supply of a minor joint product will be inelastic, because the price of that joint product won’t influence the supply, whereas the price of the major joint product will influence supply. Minor joint product = inelastic 30 25 20 = 1.33 15 20 15 10 0 0 5 Ed = 15 20 25 30 Avg % Quantity Demand Avg % Price Thus, the elasticity of demand is -0.17 This is very “inelastic.” Extreme Elasticities: Extreme Elasticities: Perfectly Elastic (Demand) 40 30 20 10 0 10 20 30 Quantity 40 50 60 Perfectly inelastic demand represents a situation wherein the quantity demanded is fixed, regardless of price. A good example would be life-saving medication, wherein a fixed quantity would be purchased regardless of price. Such an elasticity will result in a 0% change in quantity in response to any change in price. Zero divided by any number is zero, so the elasticity coefficient will be zero (0). Perfectly elastic demand represents a situation wherein the quantity demanded is infinite at a particular price, but non-existent at any other price. 60 50 40 Price D = -0.17 35 Perfectly Inelastic (Demand) 50 Price 10 Quantity of Gasoline The longer suppliers have to respond to price changes, the more likely they will do so. More time = more elastic supply. 60 This is negative because the change in quantity is “minus” five units. A negative elasticity simply denotes a “negative” correlation, such as we would expect to find on a demand curve. 5 • time period (short vs long run): What period of time are we considering? 0 -5 = -0.22 22.5 35 Price of Gasoline • production compliments: What else tends to be produced along with the 60 Such an elasticity will result in an infinite change in quantity in response to a 0% change in price. Any number divided by zero is undefined, so the elasticity coefficient will be infinite (∞). • perishability (storage costs / ability): Easier to store = more elastic. If More substitutes = more elastic supply, because producers aren’t forced to take a lower price for one product if that product’s price falls. 50 Quantity Factors that Influence Price Elasticity of Supply • production substitutes: What else can one produce with the same resources? Perfectly elastic supply represents a situation wherein the quantity supplied is infinite at a particular price, but nonexistent at any other price. People will often refer to extreme luxuries as an example of perfect elasticity, but, in truth, there are no real examples. 60 Price 60 D 30 20 10 0 0 10 20 30 40 50 60 Quantity Such an elasticity will result in an infinite change in quantity in response to a 0% change in price. Any number divided by zero is undefined, so the elasticity coefficient will be infinite (∞). The demand curve for one particular firm operating within a perfectly competitive market is thought of as being perfectly elastic, as that firm could sell all the product it wished at the market price. 3 Cross Elasticity of Demand (ARC) Factors that Influence Price Elasticity of Demand Price of Apples 30 • necessity of good / service: more essential = more inelastic • availability of substitutes: more substitutes = more elastic 25 20 Supply 15 10 5 • number of uses: more uses = more inelastic 0 0 • time period (short vs long run): more time = more elastic Income Elasticity of Demand (ARC) Annual Income ($1000.00) 5 = 0.22 22.5 5 10 15 20 25 30 35 Quantity of Oranges Avg % Ey = Quantity Demand Avg % Income In the case of income elasticity, any positive correlation at all indicates a “normal” good, a positive elasticity greater than 1 is known as a “superior” good, but a negative correlation would be an “inferior” good. -10 = -0.66 15 Pricee ($) 30 25 5 = 0.18 27.5 20 15 0 0 5 10 15 20 25 30 35 Quantity Ed = Avg % Quantity Demand Avg % Price 35 This would be considered “elastic.” Quantity Demand A IOW, demand for oranges really increases a lot in reaction to a small increase in the price of apples. Price B -10 = -0.40 25 5 = 0.22 22.5 5 10 15 20 25 30 35 Quantity Ey = Avg % Quantity Demand Avg % Price This is VERY elastic! Thus, the price elasticity of demand at this point on the curve is -1.82 This is “elastic.” If demand is elastic, a decrease in price will increase total revenue! 12 = -3.66 Thus, the price elasticity of demand at this point on the curve is -3.66 = -1.82 Elasticity is actually different across the curve! Cool Rule #1a: Monopoly Output Levels 10 5 30 Avg % 0 ela 10 Price / Revenue (Dollars) Demand Curve 25 35 30 25 20 15 10 5 0 = 1.82 Elasticity is actually different across the curve! 35 20 Demand Curve Thus, the income elasticity of demand for oranges is 1.82, which is “elastic.” 0 15 = 1.82 5 = 0.22 22.5 Thus, the cross elasticity of demand is 1.82 Elasticity is actually different across the curve! Price ($) Income Elasticity 10 Avg % Ed = 10 = 0.40 25 5 Quantity of Oranges • percentage of income spent on item: more $ = more elastic 35 30 25 20 15 10 5 0 10 = 0.40 25 Correlation betw een price of apples and quantity of oranges purchased. 35 sti Cool Rule #1b: c 8 If demand is inelastic, a decrease in price will decrease total revenue! unitary ine las tic 6 Cool Rule #1c: If demand is unitary, a decrease in price will not influence total revenue! 4 2 Cool Rule #2: 0 0 1 2 3 4 5 6 -2 7 8 9 If marginal revenue is positive, total revenue will increase as output is increased. Cool Rule #3: -4 Output (Units Produced) If marginal revenue is positive, then demand must be elastic! 4 To sum up: • An elastic curve illustrates a high sensitivity (response) to changes in price. • An inelastic curve illustrates an insensitivity (lack of response) to changes in price. • Point Elasticity will reveal different coefficients depending in the direction of the change in price. • ARC Elasticity will reveal the same coefficient regardless of the direction of the price change. • Income Elasticity will illustrate the impact that a change in income will have on the demand / supply of a product. (More appropriate to demand.) • Cross Elasticity will illustrate the impact that a change in the price of one product will have on the demand / supply of another product. • If demand is elastic, an increase in price will reduce total revenue. • If demand is inelastic, an increase in price will increase total revenue. 5
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