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Why the Demand Curve slopes down One Reason: Substitution Effect At a lower price consumers can switch to the cheaper good, substituting the cheaper for the more expensive. Why the Demand Curves slopes down A Second Reason: Income Effect A lower price of a good will increase purchasing power of the consumer. They can buy more than before. Why the Demand Curves slopes down A Third Reason: Diminishing Utility Consumers get less satisfaction as they buy more of a good. For the consumer to buy more the price must be reduced. The Pizza Demand Curve • The demand for frozen pizzas reflects the law of diminishing marginal utility. • Because marginal utility (MU) falls with increased consumption, so does a consumer’s maximum willingness to pay -- marginal benefit (MB). John’s demand curve for frozen pizza MB1 $3.50 MB2 $3.00 MB3 Price =$2.50 $2.50 • A consumer will purchase until MB = Price . . . so at $2.50 they would purchase 3 frozen pizzas and receive a consumer surplus shown by the shaded area (above the price line and below the demand curve). MB4 < MB3 < MB2 < MB1 because MU4 < MU3 < MU2 < MU1 MB4 $2.00 d = MB 1 2 3 4 Frozen pizzas per week Marginal Utility per $ Number Bought Domestic $1 MU Imported $2 MU 1 10 24 Domestic MU/$ ____ 2 8 20 ____ ____ 3 7 18 ____ ____ 4 6 16 ____ ____ 5 5 12 ____ ____ 6 4 6 ____ ____ 7 3 4 ____ ____ With Constraint Imported MU/$ ____ Without Income Constraint? With $12? MUB MUN MUA = = . . . = PB PN PA Choices are based on Comparisons of MU per $ spent on each good Which is more valuable water or diamonds? “Why are you going out? Are your friends more important to you than me?” High Total Value, but Smaller Marginal Value Individual and Market Demand Curves • Consider Jones’s demand for frozen pizza.At $3.50 Jones demands 1 pizza … and so on … at $2.50 3 pizzas … • Consider Smith’s demand for frozen pizza. At $3.50 Smith demands 2 pizzas … at $2.50 3 pizzas … and so on … • The market demand curve is merely the horizontal sum of the individual demand curves (here Jones and Smith). • The market demand curve will slope downward to the right, just as the individual demand curves do. Jones Smith 2-Person market $3.50 $3.50 $3.50 $2.50 $2.50 $2.50 d D d 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 Weekly frozen pizza consumption 1 2 3 4 5 6 7 8 again the responsiveness of the amount purchased to a change in price. % Change in % Q Price Elasticity quantity demanded of demand = % Change in Price = % P - or put more simply - = (Q0 - Q1 ) Q0 ( P0 - P1 ) P0 = (Q0 - Q1 ) Q0 X P0 ( P0 - P1 ) PED > 1 Elastic < 1 Inelastic = 1 Unit Elastic Quan Price Quan Price Ch in Q X P1 1 1 2 2 Q1 Ch in P ___ X ___ = ___ 100 5 120 3 20 8 25 7 ___ 12 3 16 0 ___ X ___ = ___ ___ X = ___ 150 12 200 10 ___ 45 6 45 8 ___ X ___ = ___ 32 24 40 2 ___ X ___ = ___ ___ ___ Quan Price 1 X 8 2 3 4 5 6 7 8 X X X X X X X 7 6 5 4 3 2 1 Total Revenue Elasticity = ___ = ___ = ___ = ___ = ___ = ___ = ___ ___ ___ ___ ___ ___ ___ ___ ___ Calculate the Price Elasticity of the following: 1. The number of cans demanded of a soft drink increases by 30 % after its price decreases by 40% 2. The number of available apartments increases by 8% following a 6 % increase in rents 3. The number of Caesar salads demanded at a restaurant increases from 60 to 80 per week when the price falls from $5.00 to $4.50 4. At a price of $200, 10,000 treadmills were supplied each month. Since the price increased to $250, 14,000 are supplied each month. 5. The number of DVDs demanded each weekend from Blockbuster falls from 500 to 400 following an increase in the rental charge from $2.00 to $2.40 Mid Points Formula % Change in % Q Price Elasticity quantity demanded of demand = % Change in Price = % P - But use average Q and average P - (Q0 - Q1 ) = (Q0 Q1 ) 2 ( P0 - P1 ) ( P0 P1 ) 2 (Q0 - Q1 ) (Q0 Q1 ) = ( P0 - P1 ) ( P0 P1 ) What affects Elasticity??? 1. Available Substitutes 2. Necessity vs Luxury 3. Proportion of Income 4. Time to shop around Different Elasticities • Perfectly inelastic: An increase in Price results in no change in Quantity Mythical demand curve (a) Quantity/ time • Relatively inelastic: A percent increase in Price results in a smaller % reduction in Quantity Demand for Cigarettes (b) Quantity/ time Demand curve of unitary elasticity (c) Quantity/ time • Unitary elasticity: The percent change in quantity demanded due to an increase in price is equal to the % change in price. Elasticity of Demand Demand for Granny Smith Apples (d) • Relatively elastic: A % increase in Price leads to a larger % reduction in Quantity. Quantity/ time • Perfectly elastic: Consumers will buy all of Farmer Hollings’s wheat at the market price, but none will be sold above the market price. Demand for Farmer Hollings’s wheat (e) Quantity/ time Examples Inelastic Salt Matches Toothpicks Airline travel (short run) 0.1 0.1 0.1 0.1 Gasoline (short run) 0.2 Gasoline (long run) Natural gas, home (short run) 0.7 Natural gas, home (long run) 0.1 0.5 Coffee 0.3 Fish (cod), at home Tobacco products (short run) 0.5 0.5 Legal services (short run) 0.4 Physician 0.6 Taxi (short services run) 0.6 Automobiles (long run) 0.2 Approximately Unitary Elasticity Movies Homes, owner occupied (long run) 0.9 1.2 Shellfish (consumed at home) 0.9 Oysters (consumed at home) 1.1 Private education 1.1 Tires (short run 0.9 Tires (long run) 1.2 Radio and television receivers 1.2 Elastic Restaurant meals Foreign travel (long run) Airline travel (long run) Fresh green peas Automobiles (short run Chevrolet automobiles Fresh tomatoes 2.3 4.0 2.4 2.8 1.4 4.0 4.6 Income Elasticity • the responsiveness of a product’s demand to a change in income. % Change in Income Elasticity quantity demanded of demand = % Change in Income • A normal good has a positive income elasticity of demand. – As income increases, the demand for normal goods increases. • Goods with a negative income elasticity are inferior goods. – As income expands, the demand for inferior goods will decline. Income Elasticity of Demand Low Income Elasticity Margarine Fuel Electricity Fish (haddock) Food Tobacco Hospital care - 0.20 0.38 0.20 0.46 0.51 0.64 0.69 High Income Elasticity Private education New Cars Recreation and amusements Alcohol 2.46 2.45 1.57 1.54 Cross Price Elasticity • the responsiveness of a product’s demand to a change in the price of another good. Cross Price Elasticity = % Change in Qx % Change in Py • A complement has a negative cross price elasticity. – As Py increases, the demand for Y decreases, and demand for goods that are consumed with Y also decreases. • A substitute has a positive cross price elasticity – As Py increases, the demand for Y decreases, and demand for goods that can be consumed instead of Y also decreases. 1. If sleeping is required for good health and survival and attending Economics class is not, why is it more important to attend class rather than sleeping in? (The answer may appear on page 455)