5 Elasticities of Demand and Supply Type Words here

5 Elasticities of Demand and Supply Type Words here
CHAPTER CHECKLIST Type Words here Notes and teaching tips: 5, 27, 34, 43, and 49. To view a full-screen figure during a class, click the red “expand” button. To return to the previous slide, click the red “shrink” button. To advance to the next slide, click anywhere on the full screen figure. To enhance your lecture, check out the Lecture Launchers, Land Mines, and Class Activities in the Instructor’s Manual.

What do you do when the price of gasoline rises?
Do you keep filling your tank, groan a bit, and cut back on something less essential so that you can afford to spend more on gas? EYE ONS 3

5.1 THE PRICE ELASTICITY OF DEMAND
Price elasticity of demand is the responsiveness of the quantity demanded (of a good) to a change in (its) price. Compare % change in qty demand to % change in price * Percentage change MUST be calculated using the Midpoint Method

5.1 Why use the midpoint method
Price Increase Suppose Starbucks raises the price of a latte from $3 to $5 a cup. Percent change in price = $5 – $3 $3 x 100 = percent Different % changes Price Decrease Suppose Starbucks cuts the price of a latte from $5 to $3 a cup. Many students need a refresher and some practice at doing what seems too simple to bother with, calculating percentages and percentage changes. Don’t be afraid to start with this pre-elasticity warm up. Just toss out some numbers. Suppose that the campus book store increases the price of an economics text from $80 to $100. What is the percentage increase in price? Now suppose the campus book store cuts the price of an economics text from $100 to $80. What is the percentage decrease in price? You’re now all set to get the students using the average of the original and new price to calculate percentages that are independent of the direction of change. Percent change in price = $3 – $5 $5 x 100 = – 40 percent Same price change, over same interval (3-5), different %

(New Price + Initial Price) ÷ 2
5.1 MIDPOINT FORMULA To measure the percentage change, use the average of the initial price and the new price The Midpoint Method To calculate the percentage change in the price divide the change in the price by the average price and then multiply by 100. The average price is at the midpoint between the initial price and the new price, hence the name midpoint method. x 100 Percent change in price = New price – Initial price (New Price + Initial Price) ÷ 2

x 100 Percent change in price = $5 – $3 ($5 + $3) ÷ 2 OR x 100 Percent change in price = $3 – $5 ($5 + $3) ÷ 2 Calculates Average Percent change in price = 50 percent, either way The percentage change in price calculated by the midpoint method is the same for a price rise and a price fall.

# Price = $ Qty Demand along the demand curve $ Price = # Qty Demand along the demand curve Price and quantity always change in opposite directions. Thus, when comparing % change in Price and % change in quantity demanded,  we ignore the minus sign and use the |absolute values|.

Elastic and Inelastic Demand Demand is elastic if: % change in qty demanded > % change in price Demand is unit elastic if: % change in qty demanded = % change in price Demand is inelastic if: % change in qty demanded < % change in price

Demand is perfectly elastic if: qty demanded changes by a very large % in response to an almost zero %change in price. Demand is perfectly inelastic if: qty demanded remains constant as the price changes. inelastic inelastic elastic elastic

Elastic and Inelastic Demand Demand is elastic if: % r in qty D > % r in price Demand is unit elastic if: % r in qty D = % r in price Demand is inelastic if: % r in qty D < % r in price Demand is perfectly elastic if: qty D r’s by a very large % in response to an almost zero % r in price. Demand is perfectly inelastic if: qty D remains constant as the price r’s. elastic elastic inelastic inelastic Summary Slide

Figure 5.1(a) shows a perfectly elastic demand. 1. For a small change in the price of spring water, 2. The quantity demanded of spring water changes by a large amount. 3. The demand for spring water is perfectly elastic. elastic elastic

Figure 5.1(b) shows an elastic demand. 1. When the price of a Sony PlayStation rises by 10%, 2. The quantity demanded decreases by 20%. 3. Demand for Sony Playstations is elastic. elastic elastic

Figure 5.1(c) shows a unit elastic demand. 1. When the price of a trip rises by 10%, 2. The quantity demand of decreases by 10%. 3. The demand for trips is unit elastic.

Figure 5.1(d) shows an inelastic demand. 1. When the price of gum rises by 20%, 2. The quantity demanded decreases by 10%. 3. The demand for gum is inelastic. inelastic inelastic

Figure 5.1(e) shows a perfectly inelastic demand. 1. When the price rises, 2. The quantity demanded does not decrease. 3. Demand is perfectly inelastic.

Influences on the Price Elasticity of Demand Two categories of influences on the price elasticity of demand: Availability of substitutes Proportion of income spent Availability of Substitutes Elastic demand  if substitute is easy to find Inelastic demand  if substitute is hard to find Three main factors influence the ability to find a substitute for a good: Luxury versus Necessity Narrowness of Definition Time Elapsed since Price Change

Luxury Versus Necessity A necessity (food) has poor substitutes, so the demand for a necessity is inelastic. A luxury (exotic vacation) has many substitutes, so the demand for a luxury is elastic. Narrowness of Definition The demand for a narrowly defined good is elastic. The demand for a broadly defined good is inelastic. Time Elapsed Since Price Changed The longer the time elapsed since the price change, the more elastic is the demand for the good Proportion of Income Spent A price rise, like a decrease in income, means that people cannot afford to buy the same quantities. The greater the proportion of income spent on a good, the more elastic is the demand for the good.

Inelastic verses Elastic - Tchart
Inelastic Demand Elastic Demand % r in qty D < % r in price Substitute = hard to find Necessity Broad Definition Short time since price r Small % of income Price Elasticity of Demand < 1 % r in qty D > % r in price Substitute = easy to find Luxury Narrow Definition Long time since price r Large % of income Price Elasticity of Demand > 1

Computing the Price Elasticity of Demand Price elasticity of demand Percentage change in quantity demanded Percentage change in the price = If the price elasticity of demand is greater than 1, demand is elastic. If the price elasticity of demand equals 1, demand is unit elastic. If the price elasticity of demand is less than 1, demand is inelastic. Many students have a hard time remembering whether quantity or price goes in the numerator of the elasticity formulas. Have the students create their own mnemonic. Suggest McDonald’s Quarter Pounder™ hamburgers. It’s silly, but it works, reminding the student that Q (quantity) appears before P (price) in the ratio of percentage changes.

Figure shows the price elasticity of demand calculation. The percentage change in the price equals $2/$4 × 100, or 50%. The percentage change in the quantity equals 10 cups/10 cups × 100, or 100%.

The price elasticity of demand equals Percentage change in quantity ÷ Percentage change in price. The price elasticity of demand equals 100% divided by 50%. The price elasticity of demand is 2.

Computing the Price Elasticity of Demand Inelastic Demand Elastic Demand % r in qty D < % r in price Substitute = hard to find Necessity Broad Definition Short time since price r Small % of income Price Elasticity of Demand < 1 % r in qty D > % r in price Substitute = easy to find Luxury Narrow Definition Long time since price r Large % of income Price Elasticity of Demand > 1 Price elasticity of demand Percentage change in quantity demanded Percentage change in the price = Price elasticity of demand 100% 50% = 2

Interpreting the Price Elasticity of Demand Number The elasticity of demand for a Starbucks latte of 2 tells us three things: The demand for Starbucks lattes is elastic—it has substitutes and the proportion of a buyer’s income spent is small. If Starbucks raised its price, revenue per cup will rise but it will lose potential business. Even a slightly lower price could bring in more revenue.

Elasticity Along a Linear Demand Curve Slope measures responsiveness. But slope and elasticity are not the same thing! Along a linear (straight-line) demand curve, the slope is constant but the elasticity varies. Figure 5.3 shows that the elasticity decreases along a linear demand curve as the price falls. 1. At any price above the midpoint, demand is elastic. 2. At the midpoint, demand is unit elastic. 3. At any price below the midpoint, demand is inelastic.

Total Revenue and the Price Elasticity of Demand Total revenue is the amount spent on a good and received by its sellers and equals the price of the good multiplied by the quantity of the good sold. Total revenue test is a method of estimating the price elasticity of demand by observing the change in total revenue that results from a price change.

Inelastic Demand Elastic Demand % r in qty D < % r in price Substitute = hard to find Necessity Broad Definition Short time since price r Small % of income Price Elasticity of Demand < 1 % # Price = a smaller %$ qty D; TR # Pr & TR r in same direction % r in qty D > % r in price Substitute = easy to find Luxury Narrow Definition Long time since price r Large % of income Price Elasticity of Demand > 1 % # Price = a larger %$ qty D; TR $ Pr & TR r in opposite direction If a P r leaves TR unchanged, D is unit elastic.

Figure 5.4(a) shows total revenue and elastic demand. At $3 a cup, the quantity demanded is 15 cups an hour. Total revenue is $45 an hour. When the price rises to $5 a cup, the quantity demanded decreases to 5 cups an hour. Total revenue decreases to $25 an hour. Demand is elastic.

Figure 5.4(b) shows total revenue and elastic demand. At $50 a book, the quantity demanded is 5 million books. Total revenue is $250 million. When the price rises to $75 a book, the quantity demanded decreases to 4 million books. Total revenue increases to $300 million. Demand is inelastic.

Applications of the Price Elasticity of Demand Orange Prices and Total Revenue Price elasticity of demand for agricultural products (oranges) is 0.4. So if a frost cuts the supply of oranges (and demand doesn’t change), a 1 percent decrease in the quantity harvested will lead to a 2.5 percent rise in the price. Demand is inelastic and farmers’ total revenue will increase. Elasticity is a very practical concept. Businesses and governments are interested in elasticities. Businesses want to know the price elasticity of demand for their product because they want to know how a change in price affects their total revenue. Governments what to know the price elasticity of demand for various products, such as oil, because they want to predict the effect of a change in price on the quantity demanded. You should point these facts out to your students because many students are eager to learn when they know what they are learning will have real-life applications. So your discussion of how elasticities are used in the real world can motivate your students.

Addiction and Elasticity Nonusers’ demand for addictive substances is elastic. A moderately higher price will lead to a substantially smaller number of people trying a drug. Existing users’ demand for addictive substances is inelastic. So even a substantial price rise brings only a modest decrease in the quantity demanded.

High taxes on cigarettes and alcohol limit the number of young people who become habitual users of these products. High taxes have only a modest effect on the quantities consumed by established users.

What Do You Do When the Price of Gasoline Rises?
EYE on HOME PRICES What Do You Do When the Price of Gasoline Rises? If you are like most people, you complain when the price of gasoline rises, but you don’t cut back very much on your gas purchases. University of London economists Phil Goodwin, Joyce Dargay, and Mark Hanly studied the effects of a hike in the price of gasoline on the quantity of gasoline demanded and on the volume of road traffic. They estimated that a 10 percent rise in the price of gasoline decreases the quantity of gasoline used by 2.5 percent within one year and by 6 percent after five years. 33

EYE on the PRICE OF GAS What Do You Do When the Price of Gasoline Rises? A 10-percent rise in the price of gasoline decreases the volume of traffic by only 1 percent within one year and by 3 percent after five years. How can the volume of traffic fall by less than the quantity of gasoline used? The answer is by switching to smaller, more fuel-efficient vehicles. The demand for gasoline is inelastic—because gasoline has poor substitutes, but it does have a substitute—a smaller vehicle. 34

EYE on the PRICE OF GAS What Do You Do When the Price of Gasoline Rises? The short-run (up to one year) price elasticity of demand is 2.5 percent divided by 10 percent, which equals 0.25. The long-run (after five years) price elasticity of demand is 6 percent divided by 10 percent, which equals 0.6. Because these price elasticities are less than one, the demand for gasoline is inelastic. When the price of gasoline rises, the quantity of gasoline demanded decreases but the amount spent on gasoline increases. 35

5.2 THE PRICE ELASTICITY OF SUPPLY
Price elasticity of supply is a measure of the extent to which the quantity supplied of a good changes when the price of the good changes. To determine the price elasticity of supply, we compare the %r in the qty Supplied with the %r in Price. Elastic and Inelastic Supply Supply is perfectly elastic if an almost zero percentage change in price brings a very large percentage change in the quantity supplied. Elasticity is a subject that can overwhelm students by the many details. Be sure to stress the common features of all the different elasticities. All elasticities measure how strongly people respond to a change in some factor; all elasticities use percentage changes; and all elasticities divide the percentage change in the quantity by the percentage change in the relevant factor. Of these features, the most important is the fact that elasticities measure responsiveness. Stress this fact and your students will find it significantly easier to comprehend all the myriad details.

Elastic and Inelastic Supply (cont.) Supply is elastic if: %r in the qty supplied > the %r in price. Supply is unit elastic if: %r in the qty supplied = the %r in price. Supply is inelastic if: %r in the qty supplied < the %r in price. Supply is perfectly inelastic if: %r in the qty supplied is zero when the price r’s

Figure 5.5(a) shows perfectly elastic supply. 1. A small rise in the the price, 2. Increases the quantity supplied by a very large amount, 3. Supply is perfectly elastic.

Figure 5.5(b) shows an elastic supply. 1. A 10% rise in the price of a book, 2. Increases the quantity supplied by 20%. 3. The supply of books is elastic.

Figure 5.5(c) shows a unit elastic supply. 1. A 10 % rise in the price of fish, 2. Increases the quantity supplied of fish by 10%. 3. The supply of fish is unit elastic.

Figure 5.5(d) shows an inelastic supply. 1. A 20% rise in the price of a hotel room, 2. Increases the quantity supplied of hotel rooms by 10%. 3. The supply of hotel rooms is inelastic.

Figure 5.5(e) shows a perfectly inelastic supply. 1. A small rise in the price of a beachfront lot, 2. Increases the quantity supplied by 0%. 3. The supply of beachfront lots is perfectly inelastic.

Influences on the Price Elasticity of Supply The two main influences are: Production possibilities Elastic Supply = Goods produced at constant (gently rising) opportunity cost Perfectly Inelastic Supply = Goods produced in only a fixed qty Time elapsed: As time passes after a price change, producers find it easier to change their production plans, so supply becomes more elastic. Storage possibilities The supply of a storable good is highly elastic. The cost of storage is the main influence on the elasticity of supply of a storable good.

Computing the Price Elasticity of Supply Price elasticity of supply Percentage change in quantity supplied Percentage change in quantity price = If the price elasticity of supply is greater than 1, supply is elastic. If the price elasticity of supply equals 1, supply is unit elastic. If the price elasticity of supply is less than 1, supply is inelastic.

Figure 5.6 shows how to calculate the price elasticity of supply. Percentage change in the price equals $60/$40 × 100, or 66.67%. Percentage change in the quantity equals 18 bouquets/15 bouquets × 100, or 120%.

The price elasticity of supply equals the Percentage change in the quantity ÷ Percentage change in the price. The price elasticity of supply equals 120% ÷ 66.67%. The price elasticity of supply is 1.8.

Inelastic verses Elastic - Tchart
Inelastic Supply Make your own T-Chart for Price Elasticity of Supply Elastic Supply

5.3 CROSS ELASTICITY AND INCOME ELASTICITY
Cross Elasticity of Demand Cross elasticity of demand is a measure of the extent to which the demand for a good changes when the price of a substitute or complement changes, other things remaining the same Cross elasticity of demand Percentage change in quantity demanded of a good Percentage change in the price of one of its substitutes or complements =

The cross elasticity of demand for a substitute is positive. A fall in the price of a substitute of the good brings a decrease in the quantity demanded of the good. The quantity demanded of the good and the price of its substitute change in the same direction. The cross elasticity of demand for a complement is negative. A fall in the price of a complement of the good brings an increase in the quantity demanded of the good. The quantity demanded of the good and the price of one of its complements change in opposite directions.

$ Price of a Substitute  $ Qty Demanded of the Good $ Price of a Complement # Qty Demanded of the Good Suppose that when the price of a burger falls by 10 percent, the quantity of pizza demanded decreases by 5 percent. (they must be substitutes) Cross elasticity of demand – 5 percent – 10 percent = 0.5

Figure 5.7 shows cross elasticity of demand. 1. Pizzas and burgers are substitutes. When the price of a burger falls, the demand for pizza decreases. Cross elasticity of demand is positive.

Figure 5.7 shows cross elasticity of demand. 2. Pizzas and soda are complements. When the price of soda falls, the demand for pizza increases. Cross elasticity of demand is negative.

Income Elasticity of Demand Income elasticity of demand is a measure of the extent to which the demand for a good changes when income changes, other things remaining the same. Income elasticity of demand Percentage change in quantity demanded Percentage change in income = If Income Elasticity is: Greater than 1  Normal good, income elastic Between zero and 1  normal good, income inelastic Less than Zero  Inferior good

Income Elasticity of Demand If Income Elasticity is: Greater than 1  Normal good, income elastic Between zero and 1  normal good, income inelastic Less than Zero  Inferior good As Income Increases: Income elastic demand takes increasing share of income Income inelastic demand takes decreasing share of income Negative income elasticity of demand take an absolutely smaller amount of income

Ch 5 Formulas x 100 Percent change in price =
New price – Initial price (New Price + Initial Price) ÷ 2 Price elasticity of demand Percentage change in quantity demanded Percentage change in the price = Price elasticity of supply Percentage change in quantity supplied Percentage change in quantity price = Cross elasticity of demand Percentage change in quantity demanded of a good Percentage change in the price of one of its substitutes or complements = Income elasticity of demand Percentage change in quantity demanded Percentage change in income =

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