1 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.2.1Supply and Demand2.2The Market Mechanism2.3Changes in Market Equilibrium2.4Elasticities of Supply and Demand2.5Short-Run versus Long-Run Elasticities2.6Understanding and Predicting the Effects of Changing Market Conditions2.7Effects of Government InterventionPrice ControlsC H A P T E R 2Prepared by:Fernando Quijano, IllustratorThe Basics of Supply and DemandCHAPTER OUTLINE2 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.Understanding and predicting how changing world economic conditions affect market price and productionEvaluating the impact of government price controls, minimum wages, price supports, and production incentivesDetermining how taxes, subsidies, tariffs, and import quotas affect consumers and producersSupply-demand analysis is a fundamental and powerful tool that can be applied to a wide variety of interesting and important problems. To name a few:3 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.The Supply Curve supply curve Relationship between the quantity of a good that producers are willing to sell and the price of the good.THE SUPPLY CURVEThe supply curve, labeled S in the figure, shows how the quantity of a good offered for sale changes as the price of the good changes. The supply curve is upward sloping: The higher the price, the more firms are able and willing to produce and sell. If production costs fall, firms can produce the same quantity at a lower price or a larger quantity at the same price. The supply curve then shifts to the right (from S to S).FIGURE 2.1Supply and Demand2.1QS = QS(P)4 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.OTHER VARIABLES THAT AFFECT SUPPLYThe quantity that producers are willing to sell depends not only on the price they receive but also on their production costs, including wages, interest charges, and the costs of raw materials.When production costs decrease, output increases no matter what the market price happens to be. The entire supply curve thus shifts to the right.Economists often use the phrase change in supply to refer to shifts in the supply curve, while reserving the phrase change in the quantity supplied to apply to movements along the supply curve.5 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.THE DEMAND CURVEThe demand curve, labeled D, shows how the quantity of a good demanded by consumers depends on its price. The demand curve is downward sloping; holding other things equal, consumers will want to purchase more of a good as its price goes down. The quantity demanded may also depend on other variables, such as income, the weather, and the prices of other goods. For most products, the quantity demanded increases when income rises. A higher income level shifts the demand curve to the right (from D to D). FIGURE 2.2 demand curve Relationship between the quantity of a good that consumers are willing to buy and the price of the good.The Demand CurveQD = QD(P)6 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SHIFTING THE DEMAND CURVEIf the market price were held constant at P1, we would expect to see an increase in the quantity demandedsay, from Q1 to Q2, as a result of consumers higher incomes. Because this increase would occur no matter what the market price, the result would be a shift to the right of the entire demand curve.SUBSTITUTE AND COMPLEMENTARY GOODS substitutes Two goods for which an increase in the price of one leads to an increase in the quantity demanded of the other. complements Two goods for which an increase in the price of one leads to a decrease in the quantity demanded of the other.7 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SUPPLY AND DEMANDThe market clears at price P0 and quantity Q0. At the higher price P1, a surplus develops, so price falls. At the lower price P2, there is a shortage, so price is bid up.FIGURE 2.3The Market Mechanism2.28 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EQUILIBRIUM equilibrium (or market clearing) price Price that equates the quantity supplied to the quantity demanded. market mechanism Tendency in a free market for price to change until the market clears. surplus Situation in which the quantity supplied exceeds the quantity demanded. shortage Situation in which the quantity demanded exceeds the quantity supplied.9 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.WHEN CAN WE USE THE SUPPLY-DEMAND MODEL? We are assuming that at any given price, a given quantity will be produced and sold.This assumption makes sense only if a market is at least roughly competitive.By this we mean that both sellers and buyers should have little market poweri.e., little ability individually to affect the market price.Suppose instead that supply were controlled by a single producera monopolist.If the demand curve shifts in a particular way, it may be in the monopolists interest to keep the quantity fixed but change the price, or to keep the price fixed and change the quantity.10 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.NEW EQUILIBRIUM FOLLOWING SHIFT IN SUPPLYWhen the supply curve shifts to the right, the market clears at a lower price P3 and a larger quantity Q3.FIGURE 2.4Changes in Market Equilibrium2.311 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.NEW EQUILIBRIUM FOLLOWING SHIFT IN DEMANDWhen the demand curve shifts to the right,the market clears at a higher price P3 and a larger quantity Q3.FIGURE 2.512 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.NEW EQUILIBRIUM FOLLOWING SHIFTS IN SUPPLY AND DEMANDSupply and demand curves shift over time as market conditions change. In this example, rightward shifts of the supply and demand curves lead to a slightly higher price and a much larger quantity. In general, changes in price and quantity depend on the amount by which each curve shifts and the shape of each curve.FIGURE 2.613 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.From 1970 to 2010, the real (constant-dollar)price of eggs fell by 55 percent, while the realprice of a college education rose by 82 percent.The mechanization of poultry farms sharplyreduced the cost of producing eggs, shifting thesupply curve downward. The demand curve foreggs shifted to the left as a more health-conscious population tended to avoid eggs.As for college, increases in the costs of equipping and maintaining modern classrooms, laboratories, and libraries, along with increases in faculty salaries, pushed the supply curve up. The demand curve shifted to the right as a larger percentage of a growing number of high school graduates decided that a college education was essential.EXAMPLE 2.1 THE PRICE OF EGGS AND THE PRICE OF A COLLEGE EDUCATION REVISITED14 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.1 THE PRICE OF EGGS AND THE PRICE OF A COLLEGE EDUCATION REVISITED(a) MARKET FOR EGGS(a) The supply curve for eggs shifted downward as production costs fell; the demand curve shifted to the left as consumer preferences changed. As a result, the real price of eggs fell sharply and egg consumption rose.FIGURE 2.7(b) The supply curve for a college education shifted up as the costs of equipment, maintenance, and staffing rose. The demand curve shifted to the right as a growing number of high school graduates desired a college education. As a result, both price and enrollments rose sharply.(b) MARKET FOR COLLEGE EDUCATION15 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.2 WAGE INEQUALITY IN THE UNITED STATESOver the past two decades, the wages of skilled high-income workers have grown substantially, while the wages of unskilled low-income workers have fallen slightly.From 1978 to 2009, people in the top 20 percent of the income distribution experienced an increase in their average real (inflation-adjusted) pretax household income of 45 percent, while those in the bottom 20 percent saw their average real pretax income increase by only 4 percent.While the supply of unskilled workerspeople with limited educationshas grown substantially, the demand for them has risen only slightly.On the other hand, while the supply of skilled workerse.g., engineers, scientists, managers, and economistshas grown slowly, the demand has risen dramatically, pushing wages up.16 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.3 THE LONG-RUN BEHAVIOR OF NATURALRESOURCE PRICESCONSUMPTION AND PRICE OF COPPERAlthough annual consumption of copper has increased about a hundredfold,the real (inflation-adjusted) price has not changed much.FIGURE 2.817 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.3 THE LONG-RUN BEHAVIOR OF NATURALRESOURCE PRICESLONG-RUN MOVEMENTS OF SUPPLY AND DEMAND FOR MINERAL RESOURCESAlthough demand for most resources has increased dramatically over the past century, prices have fallen or risen only slightly in real (inflation-adjusted) terms because cost reductions have shifted the supply curve to the right just as dramatically.FIGURE 2.918 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SUPPLY AND DEMAND FOR NEW YORK CITY OFFICE SPACEFollowing 9/11 the supply curve shifted to the left,but the demand curve also shifted to the left, so that the average rental price fell.FIGURE 2.10EXAMPLE 2.4 THE EFFECTS OF 9/11 ON THE SUPPLY AND DEMAND FOR NEW YORK CITY OFFICE SPACE19 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e. elasticity Percentage change in one variable resulting from a 1-percent increase in another. price elasticity of demand Percentage change in quantity demanded of a good resulting from a 1-percent increase in its price.PRICE ELASTICITY OF DEMAND(2.1)Elasticities of Supply and Demand2.420 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.linear demand curve Demand curve that is a straight line.LINEAR DEMAND CURVELINEAR DEMAND CURVEFIGURE 2.11The price elasticity of demand depends not only on the slope of the demand curve but also on the price and quantity.The elasticity, therefore, varies along the curve as price and quantity change. Slope is constant for this linear demand curve. Near the top, because price is high and quantity is small, the elasticity is large in magnitude. The elasticity becomes smaller as we move down the curve.21 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e. infinitely elastic demand Principle that consumers will buy as much of a good as they can get at a single price, but for any higher price the quantity demanded drops to zero, while for any lower price the quantity demanded increases without limit.(a) INFINITELY ELASTIC DEMANDFIGURE 2.12(a) For a horizontal demand curve, Q/P is infinite. Because a tiny change in price leads to an enormous change in demand, the elasticity of demand is infinite.LINEAR DEMAND CURVE22 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e. completely inelastic demand Principle that consumers will buy a fixed quantity of a good regardless of its price.(b) COMPLETELY INELASTIC DEMANDFIGURE 2.12(b) For a vertical demand curve, Q/ P is zero. Because the quantity demanded is the same no matter what the price, the elasticity of demand is zero.LINEAR DEMAND CURVE23 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e. income elasticity of demand Percentage change in the quantity demanded resulting from a 1-percent increase in income.OTHER DEMAND ELASTICITIES cross-price elasticity of demand Percentage change in the quantity demanded of one good resulting from a 1-percent increase in the price of another. price elasticity of supply Percentage change in quantity supplied resulting from a 1-percent increase in price.ELASTICITIES OF SUPPLY(2.2)(2.3)24 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e. point elasticity of demand Price elasticity at a particular point on the demand curve.Point versus Arc Elasticities arc elasticity of demand Price elasticity calculated over a range of prices.ARC ELASTICITY OF DEMAND(2.4)25 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.5 THE MARKET FOR WHEATDuring recent decades, changes in the wheat market had major implications for both American farmers and U.S. agricultural policy.To understand what happened, lets examine the behavior of supply and demand beginning in 1981.By setting the quantity supplied equal to the quantity demanded, we can determine the market-clearing price of wheat for 1981:Supply: QS = 1800 + 240PDemand: QD = 3550 266PQS = QD1800 + 240P = 3550 266P506P = 1750P = $3.46 per bushelSubstituting into the supply curve equation, we getQ = 1800 + (240)(3.46) = 2630 million bushels26 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.5 THE MARKET FOR WHEATWe use the demand curve to find the price elasticity of demand:We can likewise calculate the price elasticity of supply:Because these supply and demand curves are linear, the price elasticities will vary as we move along the curves.Thus demand is inelastic.27 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.Demand(a) GASOLINE: SHORT-RUN AND LONG-RUN DEMAND CURVESFIGURE 2.13(a) In the short run, an increase in price has only a small effect on the quantity of gasoline demanded. Motorists may drive less, but they will not change the kinds of cars they are driving overnight. In the longer run, however, because they will shift to smaller and more fuel-efficient cars, the effect of the price increase will be larger. Demand, therefore, is more elastic in the long run than in the short run.Short-Run versus Long-Run Elasticities2.528 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.(b) AUTOMOBILES: SHORT-RUN AND LONG-RUN DEMAND CURVESFIGURE 2.13(b) The opposite is true for automobile demand. If price increases, consumers initially defer buying new cars; thus annual quantity demanded falls sharply. In the longer run, however, old cars wear out and must be replaced; thus annual quantity demanded picks up. Demand, therefore, is less elastic in the long run than in the short run.DEMAND AND DURABILITY29 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.INCOME ELASTICITIESIncome elasticities also differ from the short run to the long run.For most goods and servicesfoods, beverages, fuel, entertainment, etc. the income elasticity of demand is larger in the long run than in the short run.For a durable good, the opposite is true. The short-run income elasticity of demand will be much larger than the long-run elasticity.30 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.GDP AND INVESTMENT IN DURABLE EQUIPMENTFIGURE 2.14Annual growth rates are compared for GDP and investment in durable equipment.Because the short-run GDP elasticity of demand is larger than the long-run elasticity for long-lived capital equipment, changes in investment in equipment magnify changes in GDP. Thus capital goods industries are considered “cyclical.”CYCLICAL INDUSTRIES cyclical industries Industries in which sales tend to magnify cyclical changes in gross domestic product and national income.31 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.CONSUMPTION OF DURABLES VERSUS NONDURABLESFIGURE 2.15Annual growth rates are compared for GDP, consumer expenditures on durable goods (automobiles, appliances, furniture, etc.), and consumer expenditures on nondurable goods (food, clothing, services, etc.). Because the stock of durables is large compared with annual demand, short-run demand elasticities are larger than long-run elasticities. Like capital equipment, industries that produce consumer durables are “cyclical” (i.e., changes in GDP are magnified).This is not true for producers of nondurables.32 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.6 THE DEMAND FOR GASOLINE AND AUTOMOBILESTABLE2.1DEMANDFORGASOLINENUMBER OF YEARS ALLOWED TO PASSFOLLOWING A PRICE OR INCOME CHANGEELASTICITY123510Price0.20.30.40.50.8Income0.20.40.50.61.0TABLE2.2DEMANDFORAUTOMOBILESNUMBER OF YEARS ALLOWED TO PASSFOLLOWING A PRICE OR INCOME CHANGEELASTICITY123510Price1.20.90.80.60.4Income3.02.31.91.41.033 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SupplySUPPLY AND DURABILITYCOPPER: SHORT-RUN AND LONG-RUN SUPPLY CURVESFIGURE 2.16Like that of most goods, the supply of primary copper, shown in part (a), is more elastic in the long run. If price increases, firms would like to produce more but are limited by capacity constraints in the short run.In the longer run, they can add to capacity and produce more.34 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.Part (b) shows supply curves for secondary copper. If the price increases, there is a greater incentive to convert scrap copper into new supply. Initially, therefore, secondary supply (i.e., supply from scrap) increases sharply.But later, as the stock of scrap falls, secondary supply contracts. Secondary supply is therefore less elastic in the long run than in the short run.COPPER: SHORT-RUN AND LONG-RUN SUPPLY CURVESFIGURE 2.16TABLE2.3SUPPLYOFCOPPERPRICE ELASTICITY OF:SHORT-RUNLONG-RUNPrimarysupply0.201.60Secondarysupply0.430.31Totalsupply0.251.5035 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.7 THE WEATHER IN BRAZIL AND THE PRICE OF COFFEE IN NEW YORKPRICE OF BRAZILIAN COFFEEFIGURE 2.17When droughts or freezes damage Brazils coffee trees, the price of coffee can soar.The price usually falls again after a few years, as demand and supply adjust.36 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SUPPLY AND DEMAND FOR COFFEEFIGURE 2.18 (1 of 3)(a) A freeze or drought in Brazil causes the supply curve to shift to the left. In the short run, supply is completely inelastic; only a fixed number of coffee beans can be harvested. Demand is also relatively inelastic; consumers change their habits only slowly. As a result, the initial effect of the freeze is a sharp increase in price, from P0 to P1.EXAMPLE 2.7 THE WEATHER IN BRAZIL AND THE PRICE OF COFFEE IN NEW YORK37 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SUPPLY AND DEMAND FOR COFFEEFIGURE 2.18 (2 of 3)EXAMPLE 2.7 THE WEATHER IN BRAZIL AND THE PRICE OF COFFEE IN NEW YORK(b) In the intermediate run, supply and demand are both more elastic; thus price falls part of the way back, to P2.38 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.SUPPLY AND DEMAND FOR COFFEEFIGURE 2.18 (3 of 3)EXAMPLE 2.7 THE WEATHER IN BRAZIL AND THE PRICE OF COFFEE IN NEW YORK(c) In the long run, supply is extremely elastic; because new coffee trees will have had time to mature, the effect of the freeze will have disappeared. Price returns to P0.39 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.FITTING LINEAR SUPPLY AND DEMAND CURVES TO DATAFIGURE 2.19Linear supply and demand curves provide a convenient tool for analysis. Given data for the equilibrium price and quantity P* and Q*, as well as estimates of the elasticities of demand and supply ED and ES, we can calculate the parameters c and d for the supply curve and a and b for the demand curve. (In the case drawn here, c 0.) The curves can then be used to analyze the behavior of the market quantitatively.Understanding and Predicting the Effects of Changing Market Conditions2.640 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.Step 1:Step 2:Demand: Q = a bPSupply: Q = c + dPE = (P/Q)(Q/P)Demand: ED = b(P*/Q*)Supply: ES = d(P*/Q*)a = Q* + bP*Q = a bP + fI(2.5a)(2.5b)(2.6a)(2.6b)(2.7)41 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.After reaching a level of about $1.00 per pound in 1980, the price of copper fell sharply to about 60 cents per pound in 1986.Worldwide recessions in 1980 and 1982 contributed to the decline of copper prices.Why did the price increase so sharply after 2003? First, the demand for copper from China and other Asian countries began increasing dramatically. Second, because prices had dropped so much from 1996 through 2003, producers closed unprofitable mines and cut production.What would a decline in demand do to the price of copper? To find out, we can use the linear supply and demand curves.EXAMPLE 2.8 THE BEHAVIOR OF COPPER PRICES42 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.8 THE BEHAVIOR OF COPPER PRICESCopper prices are shown in both nominal (no adjustment for inflation) and real (inflation-adjusted) terms. In real terms, copper prices declined steeply from the early 1970s through the mid-1980s as demand fell. In 19881990, copper prices rose in response to supply disruptions caused by strikes in Peru and Canada but later fell after the strikes ended. Prices declined during the 19962002 period but then increased sharply starting in 2005.COPPER PRICES, 19652011FIGURE 2.2043 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.COPPER SUPPLY AND DEMANDFIGURE 2.21The shift in the demand curve corresponding to a 20-percent decline in demand leads to a 10.7-percent decline in price.EXAMPLE 2.8 THE BEHAVIOR OF COPPER PRICES44 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.9 UPHEAVAL IN THE WORLD OIL MARKETPRICE OF CRUDE OILFIGURE 2.22The OPEC cartel and political events caused the price of oil to rise sharply at times. It later fell as supply and demand adjusted.Since the early 1970s, the world oil markethas been buffeted by the OPEC cartel andby political turmoil in the Persian Gulf.45 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.9 UPHEAVAL IN THE WORLD OIL MARKETBecause this example is set in 20092011, all prices are measured in 2011 dollars. Here are some rough figures: 20092011 world price = $80 per barrel World demand and total supply = 32 billion barrels per year (bb/yr) OPEC supply = 13 bb/yr Competitive (non-OPEC) supply = 19 bb/yrThe following table gives price elasticity estimates for oil supply and demand:SHORTRUNLONGRUNWorlddemand:-0.5-0.30Competitivesupply:0.50.3046 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.9 UPHEAVAL IN THE WORLD OIL MARKETIMPACT OF SAUDI PRODUCTION CUTThe total supply is the sum of competitive (non-OPEC) supply and the 13 bb/yr of OPEC supply. Part (a) shows the short-run supply and demand curves. If Saudi Arabia stops producing, the supply curve will shift to the left by 3 bb/yr. In the short-run, price will increase sharply.FIGURE 2.23Part (b) shows long-run curves. In the long run, because demand and competitive supply are much more elastic, the impact on price will be much smaller.47 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EFFECTS OF PRICE CONTROLSWithout price controls, the market clears at the equilibrium price and quantity P0 and Q0. If price is regulated to be no higher than Pmax, the quantity supplied falls to Q1, the quantity demanded increases to Q2, and a shortage develops.FIGURE 2.24Effects of GovernmentInterventionPrice Controls2.748 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.Natural gas prices rose sharply after 2000, as did the prices of oil and other fuels.PRICE OF NATURAL GASFIGURE 2.25EXAMPLE 2.10 PRICE CONTROLS ANDNATURAL GAS SHORTAGES49 of 49Copyright 2013 Pearson Education, Inc. Microeconomics Pindyck/Rubinfeld, 8e.EXAMPLE 2.10 PRICE CONTROLS ANDNATURAL GAS SHORTAGESThe (free-market) wholesale price of natural gas was $6.40 per mcf (thousand cubic feet);Production and consumption of gas were 23 Tcf (trillion cubic feet);The average price of crude oil (which affects the supply and demand for natural gas) was about $50 per barrel.Supply: Q = 15.90 + 0.72PG + 0.05PODemand: Q = 0.02 1.8PG + 0.69POSubstitute $3.00 for PG in both the supply and demand equations (keeping the price of oil, PO, fixed at $50). You should find that the supply equation gives a quantity supplied of 20.6 Tcf and the demand equation a quantity demanded of 29.1 Tcf. Therefore, these price controls would create an excess demand of 29.1 20.6 = 8.5 Tcf.