Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X Calculating % change % Change in quantity = nqd – iqd initial quantity demanded Example: % Change in quantity 100,000 nqd - 110,000 iqd = - 10,000 -10,000 = .10 or 10% 100,000 1 Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X • Change in price = New Price – Initial Price Initial price New Price = $4 Initial Price = $3 $4 np - $3 ip = $1 = .33 or 33% $3 ip $3 Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X 10% = .30 or 30% 33% Chapter 6: Extensions of Supply, Demand, and Supply Analysis Elasticity • It is all about how things respond to changes in prices – Responsive or not responsive 5 Supply and Demand Review 1. Define the Law of Demand 2. Define the Law of Supply 3. What is the difference between a change in demand and a change in quantity demanded? 4. What happens if price is above equilibrium? 5. What happens if price is below equilibrium? 6. Define Consumer’s and Producer’s Surplus 7. Identify the rule for double shifts in S&D 8. Explain the results of an excise tax THE LAW OF DEMAND SAYS... Consumers will buy more when prices go down and less when prices go up HOW MUCH MORE OR LESS? DOES IT MATTER? 7 Elasticity Elasticity shows how sensitive quantity is to a change in price. Summary of the Chapter • Paul Salmon Video - Elasticity 9 Goals Of This Chapter • By the end of this chapter you should be able to do the – Elasticity Slide 10 4 Types of Elasticity 1. Elasticity of Demand 2. Elasticity of Supply 3. Cross-Price Elasticity (Subs or Comp) 4. Income Elasticity (Norm or Inferior) Total Revenue • Total revenue = total amount the seller receives from the sale of a product or service – In a particular time period • Formula TR = P * Q • TR = total revenue • P = Price • Q = quantity 12 Total Revenue • Formula TR = P X Q • TR = total revenue • P = Price • Q = quantity • Example –Price is $3.50 per gallon –Quantity = 10 gallons –$3.5 * 10 = $35 Total Revenue 13 What Happens If--• What happens to total revenue if – Prices go up? – Prices go down? • We know about the Supply and Demand Curve – Does not tell us what happens if--- • Brings us to elasticity 14 Elasticity • Measure of the responsiveness of the quantity demanded to a good or service – To change in price – When all other factors remain the same 1. Elasticity of Demand Elasticity of Demand• Measurement of consumers responsiveness to a change in price. • What will happen if price increase? How much will it affect Quantity Demanded Who cares? • Used by firms to help determine prices and sales • Used by the government to decide how to tax Elasticity of Demand • In the previous section, supply and demand curves were drawn as straight lines. • This is a simplification, – we assume rate of change of demand or supply is the same for all prices in the market. • At some prices, a small change in price may – cause a large change in the quantity demanded. Name--• In the short run, name • Products whose price change will not change demand much • Products whose price change will change demand significantly 18 This shown in the diagram as the movement from Pe to Pe1; a small change in price which causes an even larger percentage decrease in quantity demanded (from Qe to Qe1. At other prices, a large increase in price may see a much smaller decrease in demand. This shown in the diagram as the movement from Pe2 to Pe3; a large change in price which causes a smaller percentage decrease in quantity demanded (from Qe2 to Qe3. Inelastic Demand Inelastic Demand INelastic = Quantity is INsensitive to a change in price. •If price increases, quantity 20% demanded will fall a little •If price decreases, quantity demanded increases a little. In other words, people will continue to buy it. 5% A INELASTIC demand curve is steep! (looks like an “I”) Examples: •Gasoline •Milk •Diapers •Chewing Gum •Medical Care •Toilet paper Inelastic Demand • If percentage change in price produces a smaller percentage change in quantity demanded 22 Inelastic Demand General Characteristics of INelastic Goods: 20% •Few Substitutes •Necessities •Small portion of income •Required now, rather than later •Elasticity coefficient less than 1 5% Example: Calculate 24 Elastic Demand Elastic Demand Elastic = Quantity is sensitive to a change in price. •If price increases, quantity demanded will fall a lot •If price decreases, quantity demanded increases a lot. In other words, the amount people buy is sensitive to price. An ELASTIC demand curve is flat! Examples: •Soda •Boats •Beef •Real Estate •Pizza •Gold Elastic Demand General Characteristics of Elastic Goods: • Many Substitutes • Luxuries • Large portion of income • Plenty of time to decide • Elasticity coefficient greater than 1 Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X Calculating % change % Change in quantity = nqd – iqd initial quantity demanded Example: % Change in quantity 100,000 nqd - 110,000 iqd = - 10,000 -10,000 = .10 or 10% 100,000 28 Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X • Change in price = New Price – Initial Price Initial price New Price = $4 Initial Price = $3 $4 np - $3 ip = $1 = .33 or 33% $3 ip $3 Price Elasticity Coefficient Formula • Ed = % change in quantity demanded of product X % change in price of product X 10% = .30 or 30% 33% Graph • Graph the previous example • Is it elastic or inelastic? WHY? – Inelastic because change in % change in quantity demanded is less than % change in price • Or a 33% change in price created a 10% drop in quantity demanded • Calculated price elastic is < 1 therefore price is inelastic You Solve • Decide the price elasticity of demand for a slice of pizza at $2.00 by examining a price decrease from $2.00 to $1.50 per slice. In this case, the demand pizza would increase from 7 million slices to 10 million slices. You can use these figures to calculate the price elasticity of demand • Ed = % change in quantity demanded of product X % change in price of product X • Ed = • Ed = (10M – 7M) ÷ 7M (DN-O÷O) ($1.50 - $2.00) ÷ $2.00 (PN-O÷O) .43 - 0.25 = -1.72 Drop the negative: Ed is > 1 therefore the demand for pizza slices is elastic Negative Numbers • If price increases by 10% and consumers respond by decreasing purchases by 20% • the equation computes the elasticity coefficient as -2. • The result is negative because an increase in price (a positive number) • leads to a decrease in purchases (a negative number). • Because the law of demand says it will always be negative, many economists ignore the negative sign Elastic or Inelastic? Beef1.27 Gasoline.20 Real Estate- 1.6 Medical Care- .31 Electricity.13 Gold2.6 Elastic What about the INelastic demand for insulin for diabetics? Elastic INelastic What if % change in INelastic quantity demanded equals Elastic % change in price? Perfectly INELASTIC (Coefficient = 0) Unit Elastic (Coefficient =1) 2. Price Elasticity of Supply Elasticity of Supply• Elasticity of supply shows how sensitive producers are to a change in price. Elasticity of supply is based on time limitations. Producers need time to produce more. INelastic = Insensitive to a change in price (Steep curve) • Most goods have INelastic supply in the short-run Elastic = Sensitive to a change in price (Flat curve) • Most goods have elastic supply in the long-run Perfectly Inelastic = Q doesn’t change (Vertical line) • Set quantity supplied • Elasticity of supply is influenced by a number of factors. These include : • the length of the production period. In the late 1990's, demand for Australia wines overseas has reached all time records. Vines take three years to grow to a point where they yield adequate amounts of fruit. Increases in demand for Australian wine has seen prices rise (from Po to P1), and returns to existing grape growers are excellent. Those who wish to buy grapes face a market where supply can only increase marginally (from Qo to Q1), in the short term. • However, many new stands of vines are being planted, and in a few years, returns to growers may stabilise, as supply increases. Prices will fall from P1 to P2 as the supply of grapes increases from Q1 to Q2. Elasticity Over Time - Supply 38 Elasticity Over Time - Supply 39 Elasticity Over Time - Supply 40 2.Price Elasticity of Supply Over Time Price Elasticity of Supply Over Time • How would you graph the supply elasticity of Gas over time? • Lets see 42 3. Cross-Price Elasticity of Demand • Cross-Price elasticity shows how sensitive a product is to a change in price of another good • It shows if two goods are substitutes or complements % change in quantity of product “b” % change in price of product “a” P increases 20% coefficient is negative (shows inverse relationship) then the goods are complements • If coefficient is positive (shows direct relationship) then the goods are substitutes • (test) If Q decreases 15% Think • Pizza and Burgers are elastic and substitutes of each other • If the price of pizza declines • 1. What happens to the sale of pizza? • 2. What happens to the sale of burgers? • 2. Soda is a compliment to pizza. What happens to the sale of soda? • Lets Graph 4. Income-Elasticity of Demand • Income elasticity shows how sensitive a product is to a change in INCOME • It shows if goods are normal or inferior % change in quantity % change in income Income increases 20%, and quantity decreases 15% then the good is a… INFERIOR GOOD • (test) If coefficient is negative (shows inverse relationship) then the good is inferior • If coefficient is positive (shows direct relationship) then the good is normal Ex: If income falls 10% and quantity falls 20%… Total Revenue Test Uses elasticity to show how changes in price will affect total revenue (TR). (TR = Price x Quantity) Elastic Demand• Price increase causes TR to decrease • Price decrease causes TR to increase Inelastic Demand• Price increase causes TR to increase • Price decrease causes TR to decrease Unit Elastic• Price changes and TR remains unchanged Ex: If demand for milk is INelastic, what will happen to expenditures on milk if price increases? Is the range between A and B, elastic, inelastic, or unit elastic? 10 x 100 =$1000 Total Revenue 5 x 225 =$1125 Total Revenue A 50% B 125% Price decreased and TR increased, so… Demand is ELASTIC You Should Now Get This • Elastic and Inelastic Demand Baby – Winner 2013 Econ video contest 48 Total Revenue Test Total Revenue Test } inelastic } unit elastic }elastic Elasticity Practice 53 • Graph the following chart • Calculate the Ed using the top set of numbers and prices rising Answers -Graph • This is what your graph should look like Answers - Ed • Ed = % change in quantity demanded of product X % change in price of product X % Change in quantity = nqd – iqd initial quantity demanded % Change in price = New Price – Initial Price Initial price Ed = (90 – 100) ÷ 100 ($2 - $1.00) ÷ $1.00 • Ed = -.10 = -.1 1 Drop the negative: Ed is < 1 therefore the demand for is INelastic • Calculate the TR and determine if Total Revenue increased or decreased with a price increase • What is gain or loss on price move? Answers • $3 * 70 = $210 • $2 * 90 = $180 • Total Revenue increased $30 What Happens If --• Graph the following chart • Calculate the Ed using the bottom two numbers and prices rising Answers - Ed • Ed = % change in quantity demanded of product X % change in price of product X % Change in quantity = nqd – iqd initial quantity demanded % Change in price = New Price – Initial Price Initial price Ed = (40 – 70) ÷ 70 ($4 - $3.00) ÷ $3.00 • Ed = -.4285 .3333 or 42.85% = 1.28 or 33.33% Drop the negative: Ed is > 1 therefore the demand for is elastic Ed & TR Test “quiz” Practice Problem • See handout Consumer and Producer Surplus • Consumer Surplus – Difference between maximum price willing to pay and the actual price producers charge – Think of it as a “willing to pay” curve 63 Marginal Benefit & Surplusses • Marginal Benefit – What you gain when you get one more unit – Measured by what you are willing to give up – Everyday life we say “getting value for our money” – There is a difference between value and price Value vs. Price • Value is what we get • Price is what we pay • Everyday idea of value is marginal benefit OR • The measure of the maximum price what consumers are willing to pay for another unit of a good or service Pizza Sales Per Slice Consumer Surplus P Consumer surplus from 10th slice of pizza 2 Willing to pay 1.5 Market Price $1 .5 Amount Paid D 10 20 30 40 Voluntary Exchange In the free-market, buyers and sellers voluntarily come together to seek mutual benefits. 67 Voluntary Exchange In the free-market, buyers and sellers voluntarily come together to seek mutual benefits. 68 Voluntary Exchange In the free-market, buyers and sellers voluntarily come together to seek mutual benefits. 69 Voluntary Exchange In the free-market, buyers and sellers voluntarily come together to seek mutual benefits. 70 Example of Voluntary Exchange Ex: You want to buy a truck so you go to the local dealership. You are willing to spend up to $20,000 for a new 4x4. The seller is willing to sell this truck for no less than $15,000. After some negotiation you buy the truck for $18,000. Analysis: Buyer’ Maximum- $20,000 Sellers Minimum- $15,000 Price- $18,000 Consumer’s Surplus-$2,000 Producer’s Surplus- $3,000 71 Voluntary Exchange Terms Consumer Surplus is the difference between what you are willing to pay and what you actually pay. CS = Buyer’s Maximum – Price Producer’s Surplus is the difference between the price the seller received and how much they were willing to sell it for. PS = Price – Seller’s Minimum 72 Consumer and Producer’s Surplus P Calculate the : 1. Consumer Surplus 2. Producer Surplus 3. Total Surplus $10 S 8 6 $5 4 CS PS 2 1 D 2 4 6 8 10 Q 75 Calculating Consumer Surplus In Dollars Max Willing to pay Actual price (E) Calculate CS $9 $5 9–5= $4 $8 $5 8–5= $3 $7 $5 7–5= $2 $6 $5 6–5= $1 $5 $5 5–5= $0 Sum = CS = $10 76 Calculating Producer Surplus In Dollars Min Price charged Actual price (E) Calculate PS $2 $5 5–2= $3 $3 $5 5-3= $2 $4 $5 5-4= $1 $5 $5 5–5 = $0 Sum = PS = $6 77 Surpluses • Could be calculated in Quantity 78 Summary Consumption Inefficiency Production Inefficiency Practice Problem Name of Consumer Matt Don Sarah George Ann Price willing to pay $20 $15 $8 $12 $7 Q. If dinner sells for $10, what is the value of Dons’ consumer surplus? Practice Problem Name of Consumer Matt Don Sarah George Ann Price willing to pay $20 $15 $8 $12 $7 Q. If dinner sells for $10, what is the value of Dons’ consumer surplus? A. Willing to pay is $15. Market price is $10. Willing to pay ($15) – Actual Price ($10) = $5 Practice Problem Name of Consumer Matt Don Sarah George Ann Price willing to pay $20 $15 $8 $12 $7 Q. If dinner sells for $11, what is the TOTAL value of consumer surplus? Practice Problem Name of Consumer Matt Don Sarah George Ann Price willing to pay $20 $15 $8 $12 $7 Q. If dinner sells for $11, what is the TOTAL value of consumer surplus? A. 20 – 11 = 9, 15 – 11 = 4, 12 – 11 = 1 9 + 4 + 1 = $14 consumer surplus • For a given linier demand curve, the value of consumer surplus does what as market price increases? • For a given linier demand curve, the value of consumer surplus does what as market price increases? • Decreases as market price increases (1) Price (2) QA (3) (4) QB (5) (6) QC (7) $10 9 8 7 6 100 111 125 143 167 $_____ _____ _____ _____ _____ 100 130 170 220 280 $_____ _____ _____ _____ _____ 100 110 120 130 140 $_____ _____ _____ _____ _____ 5 200 _____ 350 _____ 150 _____ 15. A marketing firm has done a study of market demand for DVDs of three different movies. Calculate the total revenue for each movie in columns 3, 5, and 7. Without calculating the price elasticity of demand, indicate whether demand for each movie is elastic, inelastic or unit-elastic. For which movie would a reduction in price produce the greatest increase in revenue? 86 (1) Price (2) QA (3) (4) QB (5) (6) QC (7) $10 100 $1000 100 $1000 100 $1000 9 111 999 130 1170 110 990 8 125 1000 170 1360 120 960 7 143 1001 220 1540 130 910 6 167 1002 280 1680 140 840 5 200 1000 350 1750 150 750 Without calculating the price elasticity of demand, indicate whether demand for each movie is elastic, inelastic or unit-elastic. For which movie would a reduction in price produce the greatest increase in revenue? Applying the total revenue test, we see that total revenues remain approximately constant for movie A, meaning that demand is unit-elastic. Total revenues for movie B are increasing as price decreases, meaning that demand for movie B is elastic. Total revenues for movie C are decreasing as price decreases, meaning the demand for movie C is inelastic. [text: E pp. 77-80; MA pp. 77-80; MI pp. 77-80] 87
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