Supply and Demand The Supply Curve

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Presentation transcript:

Supply and Demand The Supply Curve The supply curve shows how much of a good producers are willing to sell at a given price, holding constant other factors that might affect quantity supplied This price-quantity relationship can be shown by the equation: Chapter 2: The Basics of Supply and Demand 5

The supply curve slopes upward demonstrating that Supply and Demand The Supply Curve Graphically Price ($ per unit) S The supply curve slopes upward demonstrating that at higher prices, firms will increase output P2 Q2 P1 Q1 Vertical axis measures price (P) received per unit in dollars. Horizontal axis measures quantity (Q) supplied in number of units per time period. Changes in quantity supplied are shown by movements along the supply curve and are caused by a change in the price of the product. Quantity Chapter 2: The Basics of Supply and Demand 7

Supply and Demand The cost of raw materials falls Change in Supply At P1, produce Q2 At P2, produce Q1 Supply curve shifts right to S’ More produced at any price on S’ than on S P S S’ Q2 P1 P2 Q1 Q0 Non-price Determining Variables of Supply: Costs of Production = Labor, Capital, Raw Materials Q Chapter 2: The Basics of Supply and Demand 31

Supply and Demand The Demand Curve The demand curve shows how much of a good consumers are willing to buy as the price per unit changes holding non-price factors constant. This price-quantity relationship can be shown by the equation: Chapter 2: The Basics of Supply and Demand 8

Supply and Demand D Quantity Price ($ per unit) The demand curve slopes downward demonstrating that consumers are willing to buy more at a lower price Vertical axis measures price (P) paid per unit in dollars. Horizontal axis measures quantity (Q) demanded in number of units per time period. Changes in quantity demanded are shown by movements along the demand curve. Quantity Chapter 2: The Basics of Supply and Demand 10

Supply and Demand Income Increases Change in Demand P D D’ Q2 At P1, purchase Q2 At P2, purchase Q1 Demand Curve shifts right More purchased at any price on D’ than on D Q1 P2 Q0 P1 Non-price Determining Variables of Demand: Income, Consumer Tastes, Price of Related Goods (Substitutes, Complements) Q Chapter 2: The Basics of Supply and Demand 41

The Market Mechanism S P0 D Q0 Price ($ per unit) The curves intersect at equilibrium, or market- clearing, price. At P0 the quantity supplied is equal to the quantity demanded at Q0 . P0 Q0 QD = QS; No shortage; No excess supply; No pressure on the price to change Quantity Chapter 2: The Basics of Supply and Demand 12

The Market Mechanism Surplus S D Q1 P1 Q2 P2 Q3 Price ($ per unit) Quantity Price ($ per unit) S D Q1 Assume the price is P1 , then: 1) Qs : Q2 > Qd : Q1 2) Excess supply is Q2 – Q1. 3) Producers lower price. 4) Quantity supplied decreases and quantity demanded increases. 5) Equilibrium at P2Q3 P1 Surplus Q2 P2 Q3 Chapter 2: The Basics of Supply and Demand 17

The Market Mechanism S Shortage D Q3 P3 Q1 Q2 P2 Price ($ per unit) Quantity Price ($ per unit) S D Assume the price is P2 , then: 1) Qd : Q2 > Qs : Q1 2) Shortage is Q2 – Q1. 3) Producers raise price. 4) Quantity supplied increases and quantity demanded decreases. 5) Equilibrium at P3, Q3 Q3 P3 Market Mechanism Summary: 1) Supply and demand interact to determine the market-clearing price. 2) When not in equilibrium, the market will adjust to alleviate a shortage or surplus and return the market to equilibrium. 3) Markets must be competitive for the mechanism to be efficient. Q1 Q2 P2 Shortage Chapter 2: The Basics of Supply and Demand 22

Changes In Market Equilibrium Income Increases & raw material prices fall The increase in D is greater than the increase in S Equilibrium price and quantity increase to P2, Q2 P S S’ D D’ P2 Q2 P1 Q1 When supply and demand change simultaneously, the impact on the equilibrium price and quantity is determined by: 1) The relative size and direction of the change; 2) The shape of supply and demand curves Q Chapter 2: The Basics of Supply and Demand 49

Example 1: Market for Eggs Prices fell until a new equilibrium was reached at $0.26 and a quantity of 5,300 million dozen $0.26 5,300 P (1970 dollars per dozen) S1970 D1970 D1998 S1998 $0.61 5,500 The real price of eggs fell 59% from 1970 to 1998. Supply increased due to the increased mechanization of poultry farming and the reduced cost of production. Demand decreased due to the increasing consumer concern over the health and cholesterol consequences of eating eggs. Q (million dozens) Chapter 2: The Basics of Supply and Demand 54

Example 2: Market for a College Education (annual cost in 1970 dollars) S1995 $4,573 12.3 Prices rose until a new equilibrium was reached at $4,573 and a quantity of 12.3 million students D1995 D1970 S1970 $2,530 7.4 The real price of a college education rose 68% from 1970 to 1995. Supply decreased due to higher costs of equipping and maintaining modern classrooms, laboratories and libraries, and higher faculty salaries. Demand increased due to a larger percentage of a growing number of high school graduates attending college. Q (millions of students enrolled)) Chapter 2: The Basics of Supply and Demand 58

Elasticities of Supply and Demand Price Elasticity of Demand Measures the sensitivity of quantity demanded to price changes. It measures the % change in the quantity demanded for a good or service that results from a one percent change in the price. The price elasticity of demand is: Generally, elasticity is a measure of the sensitivity of one variable to another. It tells us the percentage change in one variable in response to a one percent change in another variable. Chapter 2: The Basics of Supply and Demand 70

Elasticities of Supply and Demand Price Elasticity of Demand The % change in a variable is the absolute change in the variable divided by the original level of the variable. So the price elasticity of demand is also: Chapter 2: The Basics of Supply and Demand 72

Elasticities of Supply and Demand Interpreting Price Elasticity of Demand Values 1) Because of the inverse relationship between P and Q; EP is negative. 2) If |EP| > 1, the % change in quantity demanded is greater than the % change in price. We say demand is price elastic. 3) If |EP| < 1, the % change in quantity demanded is less than the % change in price. We say demand is price inelastic. The primary determinant of price elasticity of demand is the availability of substitutes. Many substitutes: demand is price elastic; Few substitutes: demand is price inelastic. Chapter 2: The Basics of Supply and Demand 73

Price Elasticities of Demand Q = 8 - 2P Ep = -1 Ep = 0 The lower portion of a downward sloping demand curve is less elastic than the upper portion. 4 8 2 Linear Demand Curve Q = a - bP Q = 8 - 2P How do we draw perfectly (infinitely) elastic and perfectly inelastic? Q Chapter 2: The Basics of Supply and Demand 76

Elasticities of Supply and Demand Other Demand Elasticities Income elasticity of demand measures the % change in quantity demanded resulting from a one percent change in income. The income elasticity of demand is: Chapter 2: The Basics of Supply and Demand 79

Elasticities of Supply and Demand Other Demand Elasticities Cross price elasticity of demand = the % change in the quantity demanded of one good that results from a one percent change in the price of another good. The cross price elasticity for substitutes is positive, while that for complements is negative. For example, consider the substitute goods, butter and margarine. Chapter 2: The Basics of Supply and Demand 81

Elasticities of Supply and Demand Price elasticity of supply measures the % change in quantity supplied resulting from a 1% change in price. The elasticity is usually positive because price and quantity supplied are positively related (Higher price gives producers an incentive to increase output) We can refer to elasticity of supply with respect to interest rates, wage rates, and the cost of raw materials. Chapter 2: The Basics of Supply and Demand 84

SR Versus LR Elasticities Price Elasticity of Demand Price elasticity of demand varies with the amount of time consumers have to respond to a price. Most goods and services: Short-run elasticity is less than long-run elasticity (e.g. gasoline). People tend to drive smaller and more fuel efficient cars in the long-run Other Goods (durables): Short-run elasticity is greater than long-run elasticity (e.g. automobiles). People may put off immediate consumption, but eventually older cars must be replaced. Chapter 2: The Basics of Supply and Demand 85

SR Versus LR Elasticities Income Elasticities Most goods and services: Income elasticity is greater in the long-run than in the short run. For example, higher incomes may be converted into bigger cars so the income elasticity of demand for gasoline increases with time. Other Goods (durables): Income elasticity is less in the long-run than in the short-run. For example, consumers will initially want to hold more cars. Later, purchases will only to be to replace old cars. Chapter 2: The Basics of Supply and Demand 89

SR Versus LR Elasticities Price Elasticity of Supply Most goods and services: Long-run price elasticity of supply is greater than short-run price elasticity of supply. Due to limited capacity, firms are output constrained in the short-run. In the long-run, they can expand. Other Goods (durables, recyclables): Long-run price elasticity of supply is less than short-run price elasticity of supply. For example, consider the secondary copper market. Copper price increases provide an incentive to convert scrap copper into new supply. In the long-run, this stock of scrap copper begins to fall. Chapter 2: The Basics of Supply and Demand 96

SR Versus LR Elasticities: Coffee P0 Q0 Coffee prices are volatile: A freeze or drought decreases the supply of coffee in Brazil S’ Q1 Price D P1 Short-Run 1) Supply is completely inelastic 2) Demand is relatively inelastic 3) Very large change in price Quantity Chapter 2: The Basics of Supply and Demand 101

Understanding and Predicting the Effects of Changing Market Conditions We must learn how to “fit” linear demand and supply curves to market data. We determine numerically how a change in one variable will cause supply or demand to shift and so affect the equilibrium price and quantity. Assume the Available Data are: Equilibrium Price, P* Equilibrium Quantity, Q* Price elasticity of supply, ES, and demand, ED. Chapter 2: The Basics of Supply and Demand 106

Understanding and Predicting the Effects of Changing Market Conditions Price Supply: Q = c + dP -c/d Demand: Q = a - bP a/b P* Q* ED = -bP*/Q* ES = dP*/Q* Quantity Chapter 2: The Basics of Supply and Demand 108

Understanding and Predicting the Effects of Changing Market Conditions Let’s begin with the equations for supply and demand, and the elasticities: Demand: QD = a - bP Supply: QS = c + dP Chapter 2: The Basics of Supply and Demand 109

Understanding and Predicting the Effects of Changing Market Conditions Note: for linear demand curves, ∆Q/ ∆P is constant (equal to the slope of the curve). Substituting the slopes for each into the formula for elasticity, we get: Chapter 2: The Basics of Supply and Demand 111

Understanding and Predicting the Effects of Changing Market Conditions Suppose we have values for ED, ES, P*, and Q*, we can then solve for b & d, and a & c. Chapter 2: The Basics of Supply and Demand 113

Example: The Copper Market Suppose we want to derive the long-run supply and demand for copper: The data are: Q* = 7.5 mmt/yr. P* = 75 cents/pound ES = 1.6 ED = -0.8 Chapter 2: The Basics of Supply and Demand 114

Understanding and Predicting the Effects of Changing Market Conditions Mmt/yr Price Supply: QS = -4.5 + 16P +.28 = -c/d Demand: QD = 13.5 - 8P 1.69 = a/b .75 7.5 Chapter 2: The Basics of Supply and Demand 118

Example 1: Real versus Nominal Prices of Copper 1965 - 1999 Chapter 2: The Basics of Supply and Demand

Declining Demand and the Behavior of Copper Prices The relevant factors leading to a decrease in the demand for copper are: 1) A decrease in the growth rate of power generation 2) The development of substitutes: fiber optics and aluminum We will try to estimate the impact of a 20% decrease in the demand for copper. Recall the equation for the demand curve: Q = 13.5 - 8P Chapter 2: The Basics of Supply and Demand 124

Real versus Nominal Prices of Copper 1965 - 1999 Multiply the demand equation by 0.80 to get the new equation. This gives: Q = (0.80)(13.5 - 8P) = 10.8 - 6.4P Recall the equation for supply: Q = -4.5 + 16P The new equilibrium price is: -4.5 + 16P = 10.8 - 6.4P -16P + 6.4P = 10.8 + 4.5 P = 15.3/22.4 = 68.3 cents/pound The twenty percent decrease in demand resulted in a reduction in the equilibrium price to 68.3 cents from 75 cents, or 10 percent. Chapter 2: The Basics of Supply and Demand 126

Example 2: Government Intervention - Price Controls If the government decides that the equilibrium price is too high, they may establish a ceiling price. Natural Gas Market: In 1954, the federal government began regulating the wellhead price of natural gas. In 1962, the ceiling prices that were imposed became binding and shortages resulted. Price controls created an excess demand of 7 trillion cubic feet. Price regulation was a major component of U.S. energy policy in the 1960s and 1970s, and it continued to influence the natural gas markets in the 1980s. Chapter 2: The Basics of Supply and Demand 140

Effects of Price Controls Q0 S D Pmax Excess demand If price is regulated to be no higher than Pmax, quantity supplied falls to Q1 and quantity demanded increases to Q2. A shortage results. Q1 Q2 Quantity Chapter 2: The Basics of Supply and Demand 141

Price Controls and Natural Gas Shortages The Data: Natural Gas Chapter 2: The Basics of Supply and Demand