微观经济学Ch04
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A CTI V E L E A R N I N G1:Demand curve A.The price of iPodsfallsB.The price of musicdownloads fallsC.The price ofcompact discs falls17Draw a demand curve for music downloads. What happens to it in each of the following scenarios? Why?A C T I V E L E A R N I N G1:A. price of iPods falls 18Price ofmusicdown-loadsQuantity ofmusic downloadsA C TI V E L E A R N I N G1:B. price of music downloads falls 19Price ofmusicdown-loadsQuantity ofmusic downloads A C T I V E LE A R N I N G 1: C. price of CDs falls 20Price ofmusicdown-loadsQuantity ofmusic downloadsA CTIV E L E A R N I N G2:Supply curve 33Draw a supply curve for taxreturn preparation software.What happens to it in eachof the following scenarios?A.Retailers cut the price ofthe software.B. A technological advanceallows the software to beproduced at lower cost.C.Professional tax return preparers raise the price of the services they provide. A C T I V E L E A R N I N G2:A. fall in price of tax return software 34Price oftax returnsoftwareQuantity of taxreturn softwareA CTI V E L E A R N I N G2:B. fall in cost of producing the software 35Price oftax returnsoftwareQuantity of taxreturn software A C T I V E L E A R N I N G2:C. professional preparers raise their price 36Price oftax returnsoftwareQuantity of taxreturn softwareACTIV E L E A R N I N G3:Changes in supply and demand 54Use the three-step method to analyze the effects of each event on the equilibrium price and quantity of music downloads.Event A: A fall in the price of compact discsEvent B: Sellers of music downloads negotiate areduction in the royalties they must payfor each song they sell.Event C: Events A and B both occur.5556A C T I V E L E A R NI N G 3: C. fall in price of CDs AND fall in cost of royalties 57。
西方经济学微观经济学知识点总结微观经济学是研究个体和市场的经济行为的学科,它涉及了许多重要的理论和知识点。
本文将对西方经济学微观经济学的知识点进行总结,并按照条理清晰地展开介绍。
1.供求理论供求理论是微观经济学中最基本的理论之一。
供求理论研究了商品和劳动市场上的供给和需求如何决定价格和数量。
供给指的是供应方愿意出售的商品或劳动力的数量,而需求则指的是消费者愿意购买的商品或劳动力的数量。
通过供求关系,市场价格最终会在供求曲线的交汇点上形成。
如果供大于求,价格会下跌;如果供小于求,价格会上涨。
2.弹性在供求理论中,弹性是一个重要的概念。
它描述了消费者对价格变化的反应程度或者供给者对价格变化的反应程度。
价格弹性衡量了消费者对价格变化的敏感程度,而供给弹性衡量了供应者对价格变化的敏感程度。
弹性的概念对于预测市场变化与政策制定非常重要。
3.市场结构微观经济学还研究了不同类型的市场结构对价格与数量的影响。
竞争市场、垄断市场以及寡头市场都是市场结构的不同类型。
在竞争市场中,有很多卖家和买家,价格由市场供求决定。
在垄断市场中,存在一家或几家卖家,它们可以通过控制价格来影响市场。
在寡头市场中,几家大公司控制着市场,它们之间存在一定程度的互相制约。
4.生产理论微观经济学还包括了生产理论,它研究了如何最大化生产力和利润。
生产函数描述了如何将输入转化为输出,而边际成本和边际收益则描述了增加一单位产品的成本与收益。
这些概念对于企业决策和资源分配至关重要。
5.成本理论成本理论是微观经济学中的另一个重要概念。
它研究了企业产出所需要的成本与产出之间的关系。
固定成本和变动成本是成本理论的两个重要概念。
固定成本是不随产量变化的成本,而变动成本则是随着产量的变化而变化的成本。
了解成本理论有助于企业做出更好的生产决策。
6.连锁反应在微观经济学中,连锁反应是一个重要的理论概念。
它描述了一个经济事件如何引发一系列的连锁反应。
例如,一家公司降低产品价格可能引发其他公司的价格战,或者政府的货币政策可能引发通货膨胀等。
Ch04 经济增长1一、名词解释索洛增长模型稳定状态资本的黄金规则水平二、选择题1.下面关于资本的边际产量MPK的哪些说法是错误的()A.MPK = f(k + 1) - f(k) B.MPK随K增加而减少C.当资本量低时,MPK很小D.MPK等于生产函数y = f(k)的斜率。
2.如果资本可平均使用50年,那么折旧率为():A.50%,或每年0.5 B.0.5%,或每年0.005C.2%,或每年0.02 D.0.02%,或0.00023.如果生产函数Y = F(K, L)为规模收益不变,那么():A.F(zK, zL) = zY B.F(K/L, 1) = Y/LC.y = f(k), y为每个工人的产出,k为每个工人的资本量D.以上都对4.如果y = k1/2, s = 0.4,折旧率d = 20%,那么稳定状态的人均资本水平为()A.4 B.8 C.2 D.25.资本的黄金规则水平是()的最大化A.人均消费水平B.人均产出C.人均消费增长率D.人均产出增长率6.一个初始处于稳定状态的经济提高储蓄率,到达新的稳定状态后()A.人均产出增长更快于以前B.人均产出水平高于以前C.人均资本不变D.以上都对三、问答题1.为什么一个经济决策者会选择黄金规则的资本水平?2.决策者会选择其资本高于黄金规则稳定状态的稳定状态吗?会选择其资本低于黄金规则稳定状态的稳定状态吗?解释之。
3.1983年的《总统经济报告》包括了下面这样一段话:“把较大比例的国民产出用于投资将有助于迅速恢复生产率增长,并提高生活水平。
”你同意这种主张吗?并解释之。
4.在索洛模型中,储蓄率如何影响稳定状态的收入水平?它如何影响稳定状态的增长率?5.一种消费函数的观点是,工人边际消费倾向高,而资本家边际消费倾向低。
为了说明这种观点的含义,假设一个经济所有的工资收入都用于消费,而所有资本收入都用于储蓄。
说明,如果生产要素赚到了自己的边际产量,这个经济就达到了黄金规则的资本水平。
CHAPTER 4 INDIVIDUAL AND MARKET DEMAND1. Explain the difference between each of the following terms:a. a price consumption curve and a demand curve;A price consumption curve identifies the utility maximizing combinations of two goods as the price of one of the goods changes. When the price of one of the goods declines, thebudget line will pivot outwards, and a new utility maximizing bundle will be chosen. Theprice consumption curve connects all such bundles. A demand curve is a graphical relationship between the price of a good and the (utility maximizing) quantity demanded ofa good, all else the same. Price is plotted on the vertical axis and quantity demanded on thehorizontal axis.b. an individual demand curve and a market demand curve;An individual demand curve identifies the (utility maximizing) quantity demanded by oneperson at any given price of the good. A market demand curve is the sum of the individual demand curves for any given product. At any given price, the market demand curveidentifies the quantity demanded by all individuals, all else the same.c. an Engel curve and a demand curve;A demand curve identifies the quantity demanded of a good for any given price, holding income and all else the same. An Engel curve identifies the quantity demanded of a good forany given income, holding prices and all else the same.d. an income effect and a substitution effect;The substitution effect measures the effect of a change in the price of a good on theconsumption of the good, utility held constant. This change in price changes the slope of thebudget line and causes the consumer to rotate along the current indifference curve. The income effect measures the effect of a change in purchasing power (caused by a change inthe price of a good) on the consumption of the good, relative prices held constant. Forexample, an increase in the price of good 1 (on the horizontal axis) will rotate the budget linedown along the indifference curve as the slope of the budget line (the relative price ratio) changes. This is the substitution effect. This new budget line will then shift inwards to reflect the decline in purchasing power caused by the increase in the price of the good. Thisis the income effect.3. Explain whether the following statements are true or false.a. The marginal rate of substitution diminishes as an individual moves downward alongthe demand curve.This is true. The consumer will maximize his utility by choosing the bundle on his budgetline where the price ratio is equal to the MRS. Suppose the consumer chooses the quantity ofgoods 1 and 2 such that P 1P 2MRS . As the price of good 1 falls, the price ratio becomes a smaller number and hence the MRS becomes a smaller number. This means that as the priceof good 1 falls, the consumer is willing to give up fewer units of good 2 in exchange foranother unit of good 1.b. The level of utility increases as an individual moves downward along the demandcurve.This is true. As the price of a good falls, the budget line pivots outwards and the consumer isable to move to a higher indifference curve.c.Engel curves always slope upwards.This is false. The Engel curve identifies the relationship between the quantity demanded of agood and income, all else the same. If the good is inferior, then as income increases, quantitydemanded will decrease, and the Engel curve will slope downwards.5. Which of the following combinations of goods are complements and which are substitutes? Could they be either in different circumstances? Discuss.a. a mathematics class and an economics classIf the math class and the economics class do not conflict in scheduling, then the classes couldbe either complements or substitutes. The math class may illuminate economics, and theeconomics class can motivate mathematics. If the classes conflict, they are substitutes.b. tennis balls and a tennis racketTennis balls and a tennis racket are both needed to play a game of tennis, thus they arecomplements.c. steak and lobsterFoods can both complement and substitute for each other. Steak and lobster can compete, i.e.,be substitutes, when they are listed as separate items on a menu. However, they can alsofunction as complements because they are often served together.d. a plane trip and a train trip to the same destinationTwo modes of transportation between the same two points are substitutes for one another.e. bacon and eggsBacon and eggs are often eaten together and are, therefore, complementary goods. Byconsidering them in relation to something else, such as pancakes, bacon and eggs can functionas substitutes.7. Which of the following events would cause a movement along the demand curve for U.S.-produced clothing, and which would cause a shift in the demand curve?a. the removal of quotas on the importation of foreign clothesThe removal of quotas will shift the demand curve inward for domestically-produced clothes,because foreign-produced goods are substitutes for domestically-produced goods. Both theequilibrium price and quantity will fall as foreign clothes are traded in a free marketenvironment.b. an increase in the income of U.S. citizensWhen income rises, expenditures on normal goods such as clothing increase, causing thedemand curve to shift out. The equilibrium quantity and price will increase.c. a cut in the industry’s costs of producing domestic clothes that is passed on to the market in theform of lower clothing pricesA cut in an industry’s costs will shift the supply curve out. The equilibri um price will fall andquantity will increase. There is a movement along the demand curve.9. Suppose that the average household in a state consumes 800 gallons of gasoline per year. A 20-cent gasoline tax is introduced, coupled with a $160 annual tax rebate per household. Will the household be better or worse off under the new program?If the household does not change its consumption of gasoline, it will be unaffected by the tax-rebate program, because in this case the household pays 0.20*800=$160 in taxes and receives$160 as an annual tax rebate. The two effects would cancel each other out. To the extent thatthe household reduces its gas consumption through substitution, it must be better off. Thenew budget line (price change plus rebate) will pass through the old consumption point of 800gallons of gasoline, and any now affordable bundle that contains less gasoline must be on ahigher indifference curve. The household will not choose any bundle with more gasolinebecause these bundles are all inside the old budget line, and hence are inferior to the bundlewith 800 gallons of gas.11. Explain which of the following items in each pair is more price elastic.a.The demand for a specific brand of toothpaste and the demand for toothpaste in general.The demand for a specific brand is more elastic since the consumer can easily switch toanother brand if the price goes up.b.The demand for gasoline in the short run and the demand for gasoline in the long run.Demand in the long run is more elastic since consumers have had more time to adjust to thechange in price.1. An individual sets aside a certain amount of his income per month to spend on his two hobbies, collecting wine and collecting books. Given the information below, illustrate both the price consumption curve associated with changes in the price of wine, and the demand curve for wine.The price consumption curve connects each of the four optimal bundles given in the tableabove. As the price of wine increases, the budget line will pivot inwards and the optimalbundle will change.4. a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate price-consumption (for a variable price of orange juice) and income-consumption curves.We know that the indifference curves for perfect substitutes will be straight lines. In this case,the consumer will always purchase the cheaper of the two goods. If the price of orange juice isless than that of apple juice, the consumer will purchase only orange juice and the priceconsumption curve will be on the “orange juice axis” of the graph (point F). If apple juice ischeaper, the consumer will purchase only apple juice and the price consumption curve will beon the “apple juice axis” (point E). If the two goods have the same price, the consumer will beindifferent between the two; the price consumption curve will coincide with the indifferencecurve (between E and F). See the figure below.Assuming that the price of orange juice is less than the price of apple juice, the consumer willmaximize her utility by consuming only orange juice. As the level of income varies, only theamount of orange juice varies. Thus, the income consumption curve will be the “orange juiceaxis” in the figure below.4.b. Left shoes and right shoes are perfect complements. Draw the appropriate price-consumption and income-consumption curves.For goods that are perfect complements, such as right shoes and left shoes, we know that theindifference curves are L-shaped. The point of utility maximization occurs when the budgetconstraints, L1 and L2 touch the kink of U1 and U2. See the following figure.In the case of perfect complements, the income consumption curve is also a line through thecorners of the L-shaped indifference curves. See the figure below.6. Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and fromthe amount of goods (G) they consume. In order to maximize utility they need to allocate the 24 hours in the day between leisure hours and work hours. Assume that all hours not spent working areleisure hours. The price of a good is equal to $1 and the price of leisure is equal to the hourly wage. We observe the following information about the choices that the two individuals make:Graphically illustrate Sam’s leisure demand curve and Barb’s leisure demand curve. Place price on the vertical axis and leisure on the horizontal axis. Given that they both maximize utility, how can you explain the difference in their leisure demand curves?It is important to remember that less leisure implies more hours spent working at the higher wage. Sam’s leisure demand curve is downward sloping. As the price of leisure (the wage)rises, he chooses to consume less leisure to spend more time working at a higher wage tobuy more goods. Barb’s leisure demand curve is upward sloping. As the price of leisurerises, she chooses to consume more leisure since her working hours are generating more income. This difference in demand can be explained by examining the income andsubstitution effects for the two individuals. The substitution effect measures the effect of thechange in the price of leisure, keeping utility constant (the budget line will rotate around the current indifference curve). Since the substitution effect is always negative, a rise in theprice of leisure will cause both individuals to consume less leisure. The income effectmeasures the change in purchasing power caused by the change in the price of leisure. Here, when the price of leisure (the wage) rises, there is an increase in purchasing power (the newbudget line will shift outwards). Assuming both individuals consider leisure to be a normalgood (this is not a necessary assumption for Sam), then the increase in purchasing powerwill increase demand for leisure. For Sam, the reduction in leisure demand caused by the substitution effect outweighs the increase in demand for leisure caused by the income effect.For Barb, her income effect is larger than her substitution effect.7. The director of a theatre company in a small college town is considering changing the way he prices tickets. He has hired an economic consulting firm to estimate the demand for tickets. The firm has classified people who go the theatre into two groups, and has come up with two demand functions. The demand curves for the general public (Q gp ) and students (Q s ) are given below.Q gp =500-5PQ s =200-4Pa. Graph the two demand curves on one graph, with P on the vertical axis and Q on the horizontal axis. If the current price of tickets is $35, identify the quantity demanded by eachgroup.Both demand curves are downward sloping and linear. For the general public, the vertical intercept is 100 and the horizontal intercept is 500. For the students, the vertical interceptis 50 and the horizontal intercept is 200. The general public demands Q gp =500-5(35)=325tickets and the students demand Q s =200-4(35)=60 tickets.b. Find the price elasticity of demand for each group at the current price and quantity.The elasticity for the general public is εgp=-5(35)325=-0.54 and the elasticity for the students is εgp =-4(35)60=-2.33. If the price of tickets increases by one percent then the general public will demand .54% fewer tickets and the students will demand 2.33% fewertickets.c. Is the director maximizing the revenue he collects from ticket sales by charging $35 for eachticket? Explain.No he is not maximizing revenue since neither one of the calculated elasticities is equal to –1.Since demand by the general public is inelastic at the current price, the director could increase the price and quantity demanded would fall by a smaller amount in percentageterms, causing revenue to increase. Since demand by the students is elastic at the currentprice, the director could decrease the price and quantity demanded would increase by alarger amount in percentage terms, causing revenue to increase.d. What price should he charge each group if he wants to maximize revenue collected from ticketsales?To figure this out, find the formula for elasticity, set it equal to –1, and solve for price and quantity. For the general public:εgp =-5PQ=-15P=Q=500-5PP=50Q=250.For the students:εs =-4PQ=-14P=Q=200-4PP=25Q=100.9. The ACME Corporation determines that at current prices the demand for its computer chips has a price elasticity of -2 in the short run, while the price elasticity for its disk drives is -1.a. If the corporation decides to raise the price of both products by 10 percent, what will happen toits sales? To its sales revenue?We know the formula for the elasticity of demand is:EQP P=%%∆∆.For computer chips, E P = -2, so a 10 percent increase in price will reduce the quantity sold by20 percent. For disk drives, E P = -1, so a 10 percent increase in price will reduce sales by 10percent.Sales revenue is equal to price times quantity sold. Let TR1 = P1Q1 be revenue before the pricechange and TR2 = P2Q2 be revenue after the price change.For computer chips:∆TR cc = P2Q2 - P1Q1∆TR cc= (1.1P1 )(0.8Q1 ) - P1Q1 = -0.12P1Q1, or a 12 percent decline.For disk drives:∆TR dd = P2Q2 - P1Q1∆TR dd = (1.1P1 )(0.9Q1 ) - P1Q1 = -0.01P1Q1, or a 1 percent decline.Therefore, sales revenue from computer chips decreases substantially, -12 percent, while thesales revenue from disk drives is almost unchanged, -1 percent. Note that at the point on thedemand curve where demand is unit elastic, total revenue is maximized.b. Can you tell from the available information which product will generate the most revenue forthe firm? If yes, why? If not, what additional information do you need?No. Although we know the responsiveness of demand to changes in price, we need to knowboth quantities and prices of the products to determine total sales revenue.10. By observing an individual’s behavior in the situations outlined below, determine the relevant income elasticities of demand for each good (i.e., whether the good is normal or inferior). If you cannot determine the income elasticity, what additional information might you need?a. Bill spends all his income on books and coffee. He finds $20 while rummaging through a usedpaperback bin at the bookstore. He immediately buys a new hardcover book of poetry.Books are a normal good since his consumption of books increases with income. Coffee is anormal or neutral good since consumption of coffee did not fall when income increased.b. Bill loses $10 he was going to use to buy a double espresso. He decides to sell his new book at adiscount to his friend and use the money to buy coffee.Coffee is clearly a normal good.c. Being bohemian becomes the latest teen fad. As a result, coffee and book prices rise by 25percent. Bill lowers his consumption of both goods by the same percentage.Books and coffee are both normal goods since his response to a decline in real income is todecrease consumption of both goods.d. Bill drops out of art school and gets an M.B.A. instead. He stops reading books and drinkingcoffee. Now he reads The Wall Street Journal and drinks bottled mineral water.His tastes have changed completely, and we do not know exactly how he would respond toprice and income changes. We need more information regarding his new level of income, andrelative prices of the goods to determine the income elasticities.11. Suppose the income elasticity of demand for food is 0.5, and the price elasticity of demand is –1.0. Suppose also that Felicia spends $10,000 a year on food, the price of food is $2, and her income is $25,000.a.If a sales tax on food were to cause the price of food to increase to $2.50, what wouldhappen to her consumption of food? (Hint: Since a large price change is involved, youshould assume that the price elasticity measures an arc elasticity, rather than a pointelasticity.)The price of food increases from $2 to $2.50, so arc elasticity should be used:.We know that E P = -1, P = 2, ∆P = 0.5, and Q=5000. We also know that Q2, the new quantity, is Thus, if there is no change in income, we may solve for ∆Q:-1=∆Q0.5⎛⎝⎫⎭2+2.525,000+5,000+∆Q()2⎛⎝⎫⎭⎪⎪⎪.By cross-multiplying and rearranging terms, we find that ∆Q = -1,000. This means that she decreases her consumption of food from 5,000 to 4,000 units.b.Suppose that she is given a tax rebate of $2,500 to ease the effect of the sales tax.What would her consumption of food be now?A tax rebate of $2,500 implies an income increase of $2,500. To calculate the response of demand to the tax rebate, use the definition of the arc elasticity of income..We know that E I= 0.5, I = 25,000, ∆I = 2,500, Q = 4,000 (from the answer to 11.a). Assuming no change in price, we solve for ∆Q.0.5=∆Q2,500⎛⎝⎫⎭⎪25,000+27,50024,000+4,000+∆Q()2⎛⎝⎫⎭⎪⎪⎪.By cross-multiplying and rearranging terms, we find that ∆Q= 195 (approximately). This means that she increases her consumption of food from 4,000 to 4,195 units.c.Is she better or worse off when given a rebate equal to the sales tax payments? Draw agraph and explain.Felicia is likely to be better off after the rebate. The amount of the rebate is enough to allow her to purchase her original bundle of food and other goods. Recall that originally she consumed 5000 units of food. When the price went up by fifty cents per unit, she needed an extra 5000*$0.50=$2,500 to afford the same quantity of food without reducing the quantity of the other goods consumed. This is the exact amount of the rebate. However, she did not choose to return to her original bundle. We can therefore infer that she found a better bundle that gave her a higher level of utility. In the graph below, when the price of food increases, the budget line will pivot inwards. When the rebate is given, this new budget line will shift outwards. The bundle after the rebate is on that part of the new budget line that was previously unaffordable, and that lies above the original indifference curve.13. Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossings Q is given by P =15-12Q . a. Draw the demand curve for bridge crossings. The demand curve is linear and downward sloping. The vertical intercept is 15 and thehorizontal intercept is 30.b.How many people would cross the bridge if there were no toll? At a price of zero, the quantity demanded would be 30. c. What is the loss of consumer surplus associated with a bridge toll of $5?If the toll is $5 then the quantity demanded is 20. The lost consumer surplus is the area below the price line of $5 and to the left of the demand curve. The lost consumer surplus canbe calculated as (5*20)+0.5(5*10)=$125.d. The toll bridge operator is considering an increase in the toll to $7. At this new higher price, how many people would cross the bridge? Would the toll bridge revenueincrease or decrease? What does your answer tell you about the elasticity of demand?At a toll of $7, the quantity demanded would be 16. The initial toll revenue was $5*20=$100.The new toll revenue is $7*16=$112. Since the revenue went up when the toll was increased, demand is inelastic (the increase in price (40%) outweighed the decline in quantitydemanded (20%)).e. Find the lost consumer surplus associated with the increase in the price of the tollfrom $5 to $7.The lost consumer surplus is (7-5)*16+0.5(7-5)(20-16)=$36.。
The Market Forces of Supply and DemandWHAT’S NEW IN THE THIRD EDITION:This chapter has been completely rearranged and rewritten.LEARNING OBJECTIVES:By the end of this chapter, students should understand:what a competitive market is.what determines the demand for a good in a competitive market.what determines the supply of a good in a competitive market.how supply and demand together set the price of a good and the quantity sold.the key role of prices in allocating scarce resources in market economies.CONTEXT AND PURPOSE:Chapter 4 is the first chapter in a three-chapter sequence that deals with supply and demand and how markets work. Chapter 4 shows how supply and demand for a good determines both the quantityproduced and the price at which the good sells. Chapter 5 will add precision to the discussion of supply and demand by addressing the concept of elasticity —the sensitivity of the quantity supplied and quantity demanded to changes in economic variables. Chapter 6 will address the impact of government policies on prices and quantities in markets.The purpose of Chapter 4 is to establish the model of supply and demand. The model of supply and demand is the foundation for the discussion for the remainder of this text. For this reason, time spent studying the concepts in this chapter will return benefits to your students throughout their study of economics. Many instructors would argue that this chapter is the most important chapter in the text.THE MARKET FORCES OF SUPPLY AND DEMAND52 Chapter 4/The Market Forces of Supply and DemandKEY POINTS:1.Economists use the model of supply and demand to analyze competitive markets. In a competitivemarket, there are many buyers and sellers, each of whom has little or no influence on the market price.2.The demand curve shows how the quantity of a good demanded depends on the price. According tothe law of demand, as the price of a good falls, the quantity demanded rises. Therefore, the demand curve slopes downward.3.In addition to price, other determinants of how much consumers want to buy include income, theprices of substitutes and complements, tastes, expectations, and the number of buyers. If one of these factors changes, the demand curve shifts.4.The supply curve shows how the quantity of a good supplied depends on the price. According to thelaw of supply, as the price of a good rises, the quantity supplied rises. Therefore, the supply curve slopes upward.5.In addition to price, other determinants of how much producers want to sell include input prices,technology, expectations, and the number of sellers. If one of these factors changes, the supply curve shifts.6.The intersection of the supply and demand curves determines the market equilibrium. At theequilibrium price, the quantity demanded equals the quantity supplied.7.The behavior of buyers and sellers naturally drives markets toward their equilibrium. When themarket price is above the equilibrium price, there is a surplus of the good, which causes the market price to fall. When the market price is below the equilibrium price, there is a shortage, which causes the market price to rise.8.To analyze how any event influences a market, we use the supply-and-demand diagram to examinehow the event affects equilibrium price and quantity. To do this we follow three steps. First, we decide whether the event shifts the supply curve or the demand curve (or both). Second, we decide which direction the curve shifts. Third, we compare the new equilibrium with the initial equilibrium.9.In market economies, prices are the signals that guide economic decisions and thereby allocatescarce resources. For every good in the economy, the price ensures that supply and demand are in balance. The equilibrium price then determines how much of the good buyers choose to purchase and how much sellers choose to produce.CHAPTER OUTLINE:I. Markets and CompetitionChapter 4/The Market Forces of Supply and Demand 53A. Definition of market: a group of buyers and sellers of a particular good orservice.B. Definition of competitive market: a market in which there are many buyers andmany sellers so that each has a negligible impact on the market price.C. Competition: Perfect and Otherwise1. Characteristics of a perfectly competitive market:a. The goods being offered for sale are all the same.b. The buyers and sellers are so numerous that none can influence themarket price.2. Because buyers and sellers must accept the market price as given, they are oftencalled "price takers."3. Not all goods are sold in a perfectly competitive market.a. A market with only one seller is called a monopoly market.b. A market with only a few sellers is called an oligopoly.c. A market with a large number of sellers, each selling a product that isslightly different from its competitors‘ products, is called monopolisticcompetition.D. We will start by studying perfect competition.II. DemandA. The Demand Curve: The Relationship between Price and Quantity Demanded1. Definition of quantity demanded: the amount of a good that buyers arewilling and able to purchase.2. One important determinant of quantity demanded is the price of the product.a. Quantity demanded is negatively related to price. This implies that thedemand curve is downward sloping.b. Definition of law of demand: the claim that, other things equal,the quantity demanded of a good falls when the price of thegood rises.54 Chapter 4/The Market Forces of Supply and Demand3. Definition of demand schedule: a table that shows the relationshipbetween the price of a good and the quantity demanded.4. Definition of demand curve: a graph of the relationship between theprice of a good and the quantity demanded. a. Price is generally drawn on the vertical axis.b.Quantity demanded is represented on the horizontal axis.Chapter 4/The Market Forces of Supply and Demand 55B. Market Demand Versus Individual Demand1.The market demand is the sum of all of the individual demands for a particular good or service.2.The demand curves are summed horizontally —meaning that the quantities demanded are added up for each level of price.3.The market demand curve shows how the total quantity demanded of a good varies with the price of the good, holding constant all other factors that affect how much consumers want to buy.C.Shifts in the Demand Curve1. The demand curve shows how much consumers want to buy at any price,holding constant the many other factors that influence buying decisions.2. If any of these other factors change, the demand curve will shift.a. An increase in demand can be represented by a shift of the demandcurve to the right.b.A decrease in demand can be represented by a shift of the demand curve to the left.3.Income56 Chapter 4/The Market Forces of Supply and Demanda.The relationship between income and quantity demanded depends on what type of good the product is.b.Definition of normal good: a good for which, other things equal, an increase in income leads to an increase in demand.c.Definition of inferior good: a good for which, other things equal, an increase in income leads to a decrease in demand.4. Prices of Related Goodsa.Definition of substitutes: two goods for which an increase in theprice of one good leads to an increase in the demand for the other.b.Definition of complements: two goods for which an increase in the price of one good leads to a decrease in the demand for the other.5. Tastes6.Expectationsa. Future Incomeb.Future Prices7. Number of BuyersD.Case Study: Two Ways to Reduce the Quantity of Smoking Demanded1.Public service announcements, mandatory health warnings on cigarette packages, and the prohibition of cigarette advertising on television are policies designed to reduce the demand for cigarettes (and shift the demand curve to the left). 2.Raising the price of cigarettes (through tobacco taxes) lowers the quantity of cigarettes demanded.Chapter 4/The Market Forces of Supply and Demand 57a. The demand curve does not shift in this case, however.b. An increase in the price of cigarettes can be shown by a movementalong the original demand curve.3. Studies have shown that a 10% increase in the price of cigarettes causes a 4%reduction in the quantity of cigarettes demanded. For teens a 10% increase inprice leads to a 12% drop in quantity demanded.4. Studies have also shown that a decrease in the price of cigarettes is associatedwith greater use of marijuana. Thus, it appears that tobacco and marijuana arecomplements.III. SupplyA. The Supply Curve: The Relationship between Price and Quantity Supplied1. Definition of quantity supplied: the amount of a good that sellers arewilling and able to sell.a. Quantity supplied is positively related to price.b. Definition of law of supply: the claim that, other things equal, thequantity supplied of a good rises when the price of the goodrises.2. Definition of supply schedule: a table that shows the relationshipbetween the price of a good and the quantity supplied.3. Definition of supply curve: a graph of the relationship between the priceof a good and the quantity supplied.58 Chapter 4/The Market Forces of Supply and DemandB.Market Supply Versus Individual Supply1. The market supply curve can be found by summing individual supply curves.2. Individual supply curves are summed horizontally at every price.3.The market supply curve shows how the total quantity supplied varies as the price of the good varies.Chapter 4/The Market Forces of Supply and Demand 59C. Shifts in the Supply Curve1. The supply curve shows how much producers offer for sale at any given price, holding constant all other factors that may influence producers‘ decisions about how much to sell.2. When any of these other factors change, the supply curve will shift.a. An increase in supply can be represented by a shift of the supply curve to the right.b.A decrease in supply can be represented by a shift of the supply curve to the left.3. Input Prices4.Technology5. Expectations6. Number of SellersIV. Supply and Demand Together A.Equilibrium 1. The point where the supply and demand curves intersect is called the market‘s equilibrium.2.Definition of equilibrium: a situation in which the price has reached the level where quantity supplied equals quantity demanded.60 Chapter 4/The Market Forces of Supply and DemandDefinition of equilibrium price: the price that balances quantity supplied and quantity demanded.4.The equilibrium price is often called the "market-clearing" price because both buyers and sellers are satisfied at this price.5.Definition of equilibrium quantity: the quantity supplied and the quantity demanded at the equilibrium price.6. If the actual market price is higher than the equilibrium price, there will be asurplus of the good.a. Definition of surplus: a situation in which quantity supplied isgreater than quantity demanded.b.To eliminate the surplus, producers will lower the price until the marketreaches equilibrium.7. If the actual price is lower than the equilibrium price, there will be a shortage ofthe good.a. Definition of shortage: a situation in which quantity demanded isgreater than quantity supplied.b.Sellers will respond to the shortage by raising the price of the good untilthe market reaches equilibrium. Array8. Definition of the law of supply and demand: the claim that the price ofany good adjusts to bring the supply and demand for that good intobalance.B.Three Steps to Analyzing Changes in Equilibrium1. Decide whether the event shifts the supply or demand curve (or perhaps both).2. Decide in which direction the curve shifts.3.Use the supply-and-demand diagram to see how the shift changes the equilibrium price and quantity.A.Example: A Change in Demand — the effect of hot weather on the market for ice cream.ALTERNATIVE CLASSROOM EXAMPLE:Go through these examples of events that would shift either the demand or supply of #2 lead pencils:▪ an increase in the income of consumers▪ an increase in the use of standardized exams (using opscan forms) ▪ a decrease in the price of graphite (used in the production of pencils) ▪ a decrease in the price of ink pens ▪ the start of a school year▪ new technology that lowers the cost of producing pencilsD.Shifts in Curves versus Movements Along Curves 1.A shift in the demand curve is called a "change in demand." A shift in the supply curve is called a "change in supply."2.A movement along a fixed demand curve is called a "change in quantity demanded." A movement along a fixed supply curve is called a "change in quantity supplied."E.Example: A Change in Supply — the effect of a hurricane that destroys part of the sugar-cane crop and drives up the price of sugar.F.In the News: Mother Nature Shifts the Supply Curve1.Newspaper articles about specific industries can give students practice understanding the things that affect supply and demand.2.This is an article from The New York Times that describes the effect of a freeze on the citrus market.G.Example: A Change in Both Supply and Demand —the effect of both hot weather and an earthquake which destroys several ice cream factories on the market for ice cream.H. Summary1. When an event shifts the supply or demand curve, we can examine the effectson the equilibrium price and quantity.2. Table 4 reports the end results of these shifts in supply and demand.V. Conclusion: How Prices Allocate Resources A. The model of supply and demand is a powerful tool for analyzing markets.B.Supply and demand together determine the price of the economy‘s goods and services. 1.These prices serve as signals that guide the allocation of scarce resources in the economy.2.Prices determine who produces each good and how much of each good is produced.SOLUTIONS TO TEXT PROBLEMS:Quick Quizzes 1. A market is a group of buyers (who determine demand) and a group of sellers (who determinesupply) of a particular good or service. A competitive market is one in which there are many buyers and many sellers of an identical product so that each has a negligible impact on the market price.2. Here‘s an example of a demand schedule for pizza:The demand curve is graphed in Figure 1.Figure 1Examples of things that would shift the demand curve include changes in income, prices ofrelated goods like soda or hot dogs, tastes, expectations about future income or prices, and the number of buyers.A change in the price of pizza would not shift this demand curve; it would only lead us to movefrom one point to another along the same demand curve.3. Here is an example of a supply schedule for pizza:The supply curve is graphed in Figure 2.Figure 2Examples of things that would shift the supply curve include changes in prices of inputs liketomato sauce and cheese, changes in technology like more efficient pizza ovens or automaticdough makers, changes in expectations about the future price of pizza, or a change in thenumber of sellers.A change in the price of pizza would not shift this supply curve; it would only move from onepoint to another along the same supply curve.4. If the price of tomatoes rises, the supply curve for pizza shifts to the left because of theincreased price of an input into pizza production, but there is no effect on demand. The shift to the left of the supply curve causes the equilibrium price to rise and the equilibrium quantity todecline, as Figure 3 shows.If the price of hamburgers falls, the demand curve for pizza shifts to the left because the lower price of hamburgers will lead consumers to buy more hamburgers and less pizza, but there is no effect on supply. The shift to the left of the demand curve causes the equilibrium price to falland the equilibrium quantity to decline, as Figure 4 shows.Figure 3Questions for Review1. A competitive market is a market in which there are many buyers and many sellers of an identicalproduct so that each has a negligible impact on the market price. Other types of markets includemonopoly, in which there is only one seller, oligopoly, in which there are a few sellers that do notalways compete aggressively, and monopolistically competitive markets, in which there are many sellers, each offering a slightly different product.2. The quantity of a good that buyers demand is determined by the price of the good, income, theprices of related goods, tastes, expectations, and the number of buyers.3. The demand schedule is a table that shows the relationship between the price of a good and thequantity demanded. The demand curve is the downward-sloping line relating price and quantity demanded. The demand schedule and demand curve are related because the demand curve is simply a graph showing the points in the demand schedule.The demand curve slopes downward because of the law of demand—other things equal, whenthe price of a good rises, the quantity demanded of the good falls. People buy less of a goodwhen its price rises, both because they cannot afford to buy as much and because they switch to purchasing other goods.4. A change in consumers' tastes leads to a shift of the demand curve. A change in price leads to amovement along the demand curve.5. Since Popeye buys more spinach when his income falls, spinach is an inferior good for him.Since he buys more spinach, but the price of spinach is unchanged, his demand curve for spinach shifts out as a result of the decrease in his income.6. The quantity of a good that sellers supply is determined by the price of the good, input prices,technology, expectations, and the number of sellers.7. A supply schedule is a table showing the relationship between the price of a good and thequantity a producer is willing and able to supply. The supply curve is the upward-sloping linerelating price and quantity supplied. The supply schedule and the supply curve are relatedbecause the supply curve is simply a graph showing the points in the supply schedule.The supply curve slopes upward because when the price is high, suppliers' profits increase, sothey supply more output to the market. The result is the law of supply—other things equal,when the price of a good rises, the quantity supplied of the good also rises.8. A change in producers' technology leads to a shift in the supply curve. A change in price leads toa movement along the supply curve.9. The equilibrium of a market is the point at which the quantity demanded is equal to quantitysupplied. If the price is above the equilibrium price, sellers want to sell more than buyers want to buy, so there is a surplus. Sellers try to increase their sales by cutting prices. That continues until they reach the equilibrium price. If the price is below the equilibrium price, buyers want to buy more than sellers want to sell, so there is a shortage. Sellers can raise their price withoutlosing customers. That continues until they reach the equilibrium price.10. When the price of beer rises, the demand for pizza declines, because beer and pizza arecomplements and people want to buy less beer. When we say the demand for pizza declines, we mean that the demand curve for pizza shifts to the left as in Figure 5. The supply curve for pizza is not affected. With a shift to the left in the demand curve, the equilibrium price and quantityboth decline, as the figure shows. Thus the quantity of pizza supplied and demanded both fall.In sum, supply is unchanged, demand is decreased, quantity supplied declines, quantitydemanded declines, and the price falls.Figure 511. Prices play a vital role in market economies because they bring markets into equilibrium. If theprice is different from its equilibrium level, quantity supplied and quantity demanded are notequal. The resulting surplus or shortage leads suppliers to adjust the price until equilibrium is restored. Prices thus serve as signals that guide economic decisions and allocate scarceresources.Problems and Applications1. a. Cold weather damages the orange crop, reducing the supply of oranges. This can beseen in Figure 6 as a shift to the left in the supply curve for oranges. The newequilibrium price is higher than the old equilibrium price.Figure 6b. People often travel to the Caribbean from New England to escape cold weather, sodemand for Caribbean hotel rooms is high in the winter. In the summer, fewer peopletravel to the Caribbean, since northern climes are more pleasant. The result, as shownin Figure 7, is a shift to the left in the demand curve. The equilibrium price of Caribbeanhotel rooms is thus lower in the summer than in the winter, as the figure shows.Figure 7c. When a war breaks out in the Middle East, many markets are affected. Since much oilproduction takes place there, the war disrupts oil supplies, shifting the supply curve forgasoline to the left, as shown in Figure 8. The result is a rise in the equilibrium price ofgasoline. With a higher price for gasoline, the cost of operating a gas-guzzlingautomobile, like a Cadillac, will increase. As a result, the demand for used Cadillacs willdecline, as people in the market for cars will not find Cadillacs as attractive. In addition,some people who already own Cadillacs will try to sell them. The result is that thedemand curve for used Cadillacs shifts to the left, while the supply curve shifts to theright, as shown in Figure 9. The result is a decline in the equilibrium price of usedCadillacs.Figure 8 Figure 92. The statement that "an increase in the demand for notebooks raises the quantity of notebooksdemanded, but not the quantity supplied," in general, is false. As Figure 10 shows, the increase in demand for notebooks results in an increased quantity supplied. The only way the statement would be true is if the supply curve was a vertical line, as shown in Figure 11.Figure 10Figure 113. a. If people decide to have more children (a change in tastes), they will want larger vehiclesfor hauling their kids around, so the demand for minivans will increase. Supply won't beaffected. The result is a rise in both price and quantity, as Figure 12 shows.Figure 12b. If a strike by steelworkers raises steel prices, the cost of producing a minivan rises (a risein input prices), so the supply of minivans decreases. Demand won't be affected. Theresult is a rise in the price of minivans and a decline in the quantity, as Figure 13 shows.Figure 13c. The development of new automated machinery for the production of minivans is animprovement in technology. The reduction in firms' costs results in an increase in supply.Demand isn't affected. The result is a decline in the price of minivans and an increase inthe quantity, as Figure 14 shows.Figure 14d. The rise in the price of sport utility vehicles affects minivan demand because sport utilityvehicles are substitutes for minivans (that is, there is a rise in the price of a related good).The result is an increase in demand for minivans. Supply is not affected. In equilibrium,the price and quantity of minivans both rise, as Figure 12 shows.e. The reduction in peoples' wealth caused by a stock-market crash reduces their income,leading to a reduction in the demand for minivans, since minivans are likely a normalgood. Supply isn‘t affected. As a result, both price and quantity decline, as Figure 15shows.Figure 154. Technological advances that reduce the cost of producing computer chips represent a decline inan input price for producing a computer. The result is a shift to the right in the supply ofcomputers, as shown in Figure 16. The equilibrium price falls and the equilibrium quantity rises, as the figure shows.Figure 16Since computer software is a complement to computers, the lower equilibrium price of computers increases the demand for software. As Figure 17 shows, the result is a rise in both theequilibrium price and quantity of software.Figure 17Since typewriters are substitutes for computers, the lower equilibrium price of computers reduces the demand for typewriters. As Figure 18 shows, the result is a decline in both the equilibriumprice and quantity of typewriters.Figure 185. a. When a hurricane in South Carolina damages the cotton crop, it raises input prices forproducing sweatshirts. As a result, the supply of sweatshirts shifts to the left, as shownin Figure 19. The new equilibrium has a higher price and lower quantity of sweatshirts.Figure 19b. A decline in the price of leather jackets leads more people to buy leather jackets,reducing the demand for sweatshirts. The result, shown in Figure 20, is a decline in both the equilibrium price and quantity of sweatshirts.Figure 20c. The effects of colleges requiring students to engage in morning calisthenics inappropriate attire raises the demand for sweatshirts, as shown in Figure 21. The result is an increase in both the equilibrium price and quantity of sweatshirts.Figure 21d. The invention of new knitting machines increases the supply of sweatshirts. As Figure 22shows, the result is a reduction in the equilibrium price and an increase in the equilibriumquantity of sweatshirts.Figure 226. A temporarily high birth rate in the year 2005 leads to opposite effects on the price of babysittingservices in the years 2010 and 2020. In the year 2010, there are more 5-year olds who needsitters, so the demand for babysitting services rises, as shown in Figure 23. The result is ahigher price for babysitting services in 2010. However, in the year 2020, the increased number of 15-year olds shifts the supply of babysitting services to the right, as shown in Figure 24. The result is a decline in the price of babysitting services.Figure 23 Figure 247. Since ketchup is a complement for hot dogs, when the price of hot dogs rises, the quantitydemanded of hot dogs falls, thus reducing the demand for ketchup, causing both price andquantity of ketchup to fall. Since the quantity of ketchup falls, the demand for tomatoes byketchup producers falls, so both price and quantity of tomatoes fall. When the price of tomatoes falls, producers of tomato juice face lower input prices, so the supply curve for tomato juice shifts out, causing the price of tomato juice to fall and the quantity of tomato juice to rise. The fall in the price of tomato juice causes people to substitute tomato juice for orange juice, so thedemand for orange juice declines, causing the price and quantity of orange juice to fall. Now you can see clearly why a rise in the price of hot dogs leads to a fall in price of orange juice!Figure 258. a. Cigars and chewing tobacco are substitutes for cigarettes, since a higher price forcigarettes would increase the demand for cigars and chewing tobacco.b. An increase in the tax on cigarettes leads to increased demand for cigars and chewingtobacco. The result, as shown in Figure 25 for cigars, is a rise in both the equilibriumprice and quantity of cigars and chewing tobacco.c. The results in part (b) showed that a tax on cigarettes leads people to substitute cigarsand chewing tobacco for cigarettes when the tax on cigarettes rises. To reduce totaltobacco usage, policymakers might also want to increase the tax on cigars and chewingtobacco, or pursue some type of public education program.9. Quantity supplied equals quantity demanded at a price of $6 and quantity of 81 pizzas (Figure26). If price were greater than $6, quantity supplied would exceed quantity demanded, sosuppliers would reduce their price to gain sales. If price were less than $6, quantity demandedwould exceed quantity supplied, so suppliers could raise their price without losing sales. In both cases, the price would continue to adjust until it reached $6, the only price at which there isneither a surplus nor a shortage.。
CHAPTER 4 INDIVIDUAL AND MARKET DEMAND1. Explain the difference between each of the following terms:a. a price consumption curve and a demand curve;A price consumption curve identifies the utility maximizing combinations of two goods as the price of one of the goods changes. When the price of one of the goods declines, thebudget line will pivot outwards, and a new utility maximizing bundle will be chosen. Theprice consumption curve connects all such bundles. A demand curve is a graphical relationship between the price of a good and the (utility maximizing) quantity demanded ofa good, all else the same. Price is plotted on the vertical axis and quantity demanded on thehorizontal axis.b. an individual demand curve and a market demand curve;An individual demand curve identifies the (utility maximizing) quantity demanded by oneperson at any given price of the good. A market demand curve is the sum of the individual demand curves for any given product. At any given price, the market demand curveidentifies the quantity demanded by all individuals, all else the same.c. an Engel curve and a demand curve;A demand curve identifies the quantity demanded of a good for any given price, holding income and all else the same. An Engel curve identifies the quantity demanded of a good forany given income, holding prices and all else the same.d. an income effect and a substitution effect;The substitution effect measures the effect of a change in the price of a good on theconsumption of the good, utility held constant. This change in price changes the slope of thebudget line and causes the consumer to rotate along the current indifference curve. The income effect measures the effect of a change in purchasing power (caused by a change inthe price of a good) on the consumption of the good, relative prices held constant. Forexample, an increase in the price of good 1 (on the horizontal axis) will rotate the budget linedown along the indifference curve as the slope of the budget line (the relative price ratio) changes. This is the substitution effect. This new budget line will then shift inwards to reflect the decline in purchasing power caused by the increase in the price of the good. Thisis the income effect.3. Explain whether the following statements are true or false.a. The marginal rate of substitution diminishes as an individual moves downward alongthe demand curve.This is true. The consumer will maximize his utility by choosing the bundle on his budgetline where the price ratio is equal to the MRS. Suppose the consumer chooses the quantity ofgoods 1 and 2 such that P 1P 2MRS . As the price of good 1 falls, the price ratio becomes a smaller number and hence the MRS becomes a smaller number. This means that as the priceof good 1 falls, the consumer is willing to give up fewer units of good 2 in exchange foranother unit of good 1.b. The level of utility increases as an individual moves downward along the demandcurve.This is true. As the price of a good falls, the budget line pivots outwards and the consumer isable to move to a higher indifference curve.c.Engel curves always slope upwards.This is false. The Engel curve identifies the relationship between the quantity demanded of agood and income, all else the same. If the good is inferior, then as income increases, quantitydemanded will decrease, and the Engel curve will slope downwards.5. Which of the following combinations of goods are complements and which are substitutes? Could they be either in different circumstances? Discuss.a. a mathematics class and an economics classIf the math class and the economics class do not conflict in scheduling, then the classes couldbe either complements or substitutes. The math class may illuminate economics, and theeconomics class can motivate mathematics. If the classes conflict, they are substitutes.b. tennis balls and a tennis racketTennis balls and a tennis racket are both needed to play a game of tennis, thus they arecomplements.c. steak and lobsterFoods can both complement and substitute for each other. Steak and lobster can compete, i.e.,be substitutes, when they are listed as separate items on a menu. However, they can alsofunction as complements because they are often served together.d. a plane trip and a train trip to the same destinationTwo modes of transportation between the same two points are substitutes for one another.e. bacon and eggsBacon and eggs are often eaten together and are, therefore, complementary goods. Byconsidering them in relation to something else, such as pancakes, bacon and eggs can functionas substitutes.7. Which of the following events would cause a movement along the demand curve for U.S.-produced clothing, and which would cause a shift in the demand curve?a. the removal of quotas on the importation of foreign clothesThe removal of quotas will shift the demand curve inward for domestically-produced clothes,because foreign-produced goods are substitutes for domestically-produced goods. Both theequilibrium price and quantity will fall as foreign clothes are traded in a free marketenvironment.b. an increase in the income of U.S. citizensWhen income rises, expenditures on normal goods such as clothing increase, causing thedemand curve to shift out. The equilibrium quantity and price will increase.c. a cut in the industry’s costs of producing domestic clothes that is passed on to the market in theform of lower clothing pricesA cut in an industry’s costs will shift the supply curve out. The equilibri um price will fall andquantity will increase. There is a movement along the demand curve.9. Suppose that the average household in a state consumes 800 gallons of gasoline per year. A 20-cent gasoline tax is introduced, coupled with a $160 annual tax rebate per household. Will the household be better or worse off under the new program?If the household does not change its consumption of gasoline, it will be unaffected by the tax-rebate program, because in this case the household pays 0.20*800=$160 in taxes and receives$160 as an annual tax rebate. The two effects would cancel each other out. To the extent thatthe household reduces its gas consumption through substitution, it must be better off. Thenew budget line (price change plus rebate) will pass through the old consumption point of 800gallons of gasoline, and any now affordable bundle that contains less gasoline must be on ahigher indifference curve. The household will not choose any bundle with more gasolinebecause these bundles are all inside the old budget line, and hence are inferior to the bundlewith 800 gallons of gas.11. Explain which of the following items in each pair is more price elastic.a.The demand for a specific brand of toothpaste and the demand for toothpaste in general.The demand for a specific brand is more elastic since the consumer can easily switch toanother brand if the price goes up.b.The demand for gasoline in the short run and the demand for gasoline in the long run.Demand in the long run is more elastic since consumers have had more time to adjust to thechange in price.1. An individual sets aside a certain amount of his income per month to spend on his two hobbies, collecting wine and collecting books. Given the information below, illustrate both the price consumption curve associated with changes in the price of wine, and the demand curve for wine.The price consumption curve connects each of the four optimal bundles given in the tableabove. As the price of wine increases, the budget line will pivot inwards and the optimalbundle will change.4. a. Orange juice and apple juice are known to be perfect substitutes. Draw the appropriate price-consumption (for a variable price of orange juice) and income-consumption curves.We know that the indifference curves for perfect substitutes will be straight lines. In this case,the consumer will always purchase the cheaper of the two goods. If the price of orange juice isless than that of apple juice, the consumer will purchase only orange juice and the priceconsumption curve will be on the “orange juice axis” of the graph (point F). If apple juice ischeaper, the consumer will purchase only apple juice and the price consumption curve will beon the “apple juice axis” (point E). If the two goods have the same price, the consumer will beindifferent between the two; the price consumption curve will coincide with the indifferencecurve (between E and F). See the figure below.Assuming that the price of orange juice is less than the price of apple juice, the consumer willmaximize her utility by consuming only orange juice. As the level of income varies, only theamount of orange juice varies. Thus, the income consumption curve will be the “orange juiceaxis” in the figure below.4.b. Left shoes and right shoes are perfect complements. Draw the appropriate price-consumption and income-consumption curves.For goods that are perfect complements, such as right shoes and left shoes, we know that theindifference curves are L-shaped. The point of utility maximization occurs when the budgetconstraints, L1 and L2 touch the kink of U1 and U2. See the following figure.In the case of perfect complements, the income consumption curve is also a line through thecorners of the L-shaped indifference curves. See the figure below.6. Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and fromthe amount of goods (G) they consume. In order to maximize utility they need to allocate the 24 hours in the day between leisure hours and work hours. Assume that all hours not spent working areleisure hours. The price of a good is equal to $1 and the price of leisure is equal to the hourly wage. We observe the following information about the choices that the two individuals make:Graphically illustrate Sam’s leisure demand curve and Barb’s leisure demand curve. Place price on the vertical axis and leisure on the horizontal axis. Given that they both maximize utility, how can you explain the difference in their leisure demand curves?It is important to remember that less leisure implies more hours spent working at the higher wage. Sam’s leisure demand curve is downward sloping. As the price of leisure (the wage)rises, he chooses to consume less leisure to spend more time working at a higher wage tobuy more goods. Barb’s leisure demand curve is upward sloping. As the price of leisurerises, she chooses to consume more leisure since her working hours are generating more income. This difference in demand can be explained by examining the income andsubstitution effects for the two individuals. The substitution effect measures the effect of thechange in the price of leisure, keeping utility constant (the budget line will rotate around the current indifference curve). Since the substitution effect is always negative, a rise in theprice of leisure will cause both individuals to consume less leisure. The income effectmeasures the change in purchasing power caused by the change in the price of leisure. Here, when the price of leisure (the wage) rises, there is an increase in purchasing power (the newbudget line will shift outwards). Assuming both individuals consider leisure to be a normalgood (this is not a necessary assumption for Sam), then the increase in purchasing powerwill increase demand for leisure. For Sam, the reduction in leisure demand caused by the substitution effect outweighs the increase in demand for leisure caused by the income effect.For Barb, her income effect is larger than her substitution effect.7. The director of a theatre company in a small college town is considering changing the way he prices tickets. He has hired an economic consulting firm to estimate the demand for tickets. The firm has classified people who go the theatre into two groups, and has come up with two demand functions. The demand curves for the general public (Q gp ) and students (Q s ) are given below.Q gp =500-5PQ s =200-4Pa. Graph the two demand curves on one graph, with P on the vertical axis and Q on the horizontal axis. If the current price of tickets is $35, identify the quantity demanded by eachgroup.Both demand curves are downward sloping and linear. For the general public, the vertical intercept is 100 and the horizontal intercept is 500. For the students, the vertical interceptis 50 and the horizontal intercept is 200. The general public demands Q gp =500-5(35)=325tickets and the students demand Q s =200-4(35)=60 tickets.b. Find the price elasticity of demand for each group at the current price and quantity.The elasticity for the general public is εgp=-5(35)325=-0.54 and the elasticity for the students is εgp =-4(35)60=-2.33. If the price of tickets increases by one percent then the general public will demand .54% fewer tickets and the students will demand 2.33% fewertickets.c. Is the director maximizing the revenue he collects from ticket sales by charging $35 for eachticket? Explain.No he is not maximizing revenue since neither one of the calculated elasticities is equal to –1.Since demand by the general public is inelastic at the current price, the director could increase the price and quantity demanded would fall by a smaller amount in percentageterms, causing revenue to increase. Since demand by the students is elastic at the currentprice, the director could decrease the price and quantity demanded would increase by alarger amount in percentage terms, causing revenue to increase.d. What price should he charge each group if he wants to maximize revenue collected from ticketsales?To figure this out, find the formula for elasticity, set it equal to –1, and solve for price and quantity. For the general public:εgp =-5PQ=-15P=Q=500-5PP=50Q=250.For the students:εs =-4PQ=-14P=Q=200-4PP=25Q=100.9. The ACME Corporation determines that at current prices the demand for its computer chips has a price elasticity of -2 in the short run, while the price elasticity for its disk drives is -1.a. If the corporation decides to raise the price of both products by 10 percent, what will happen toits sales? To its sales revenue?We know the formula for the elasticity of demand is:EQP P=%%∆∆.For computer chips, E P = -2, so a 10 percent increase in price will reduce the quantity sold by20 percent. For disk drives, E P = -1, so a 10 percent increase in price will reduce sales by 10percent.Sales revenue is equal to price times quantity sold. Let TR1 = P1Q1 be revenue before the pricechange and TR2 = P2Q2 be revenue after the price change.For computer chips:∆TR cc = P2Q2 - P1Q1∆TR cc= (1.1P1 )(0.8Q1 ) - P1Q1 = -0.12P1Q1, or a 12 percent decline.For disk drives:∆TR dd = P2Q2 - P1Q1∆TR dd = (1.1P1 )(0.9Q1 ) - P1Q1 = -0.01P1Q1, or a 1 percent decline.Therefore, sales revenue from computer chips decreases substantially, -12 percent, while thesales revenue from disk drives is almost unchanged, -1 percent. Note that at the point on thedemand curve where demand is unit elastic, total revenue is maximized.b. Can you tell from the available information which product will generate the most revenue forthe firm? If yes, why? If not, what additional information do you need?No. Although we know the responsiveness of demand to changes in price, we need to knowboth quantities and prices of the products to determine total sales revenue.10. By observing an individual’s behavior in the situations outlined below, determine the relevant income elasticities of demand for each good (i.e., whether the good is normal or inferior). If you cannot determine the income elasticity, what additional information might you need?a. Bill spends all his income on books and coffee. He finds $20 while rummaging through a usedpaperback bin at the bookstore. He immediately buys a new hardcover book of poetry.Books are a normal good since his consumption of books increases with income. Coffee is anormal or neutral good since consumption of coffee did not fall when income increased.b. Bill loses $10 he was going to use to buy a double espresso. He decides to sell his new book at adiscount to his friend and use the money to buy coffee.Coffee is clearly a normal good.c. Being bohemian becomes the latest teen fad. As a result, coffee and book prices rise by 25percent. Bill lowers his consumption of both goods by the same percentage.Books and coffee are both normal goods since his response to a decline in real income is todecrease consumption of both goods.d. Bill drops out of art school and gets an M.B.A. instead. He stops reading books and drinkingcoffee. Now he reads The Wall Street Journal and drinks bottled mineral water.His tastes have changed completely, and we do not know exactly how he would respond toprice and income changes. We need more information regarding his new level of income, andrelative prices of the goods to determine the income elasticities.11. Suppose the income elasticity of demand for food is 0.5, and the price elasticity of demand is –1.0. Suppose also that Felicia spends $10,000 a year on food, the price of food is $2, and her income is $25,000.a.If a sales tax on food were to cause the price of food to increase to $2.50, what wouldhappen to her consumption of food? (Hint: Since a large price change is involved, youshould assume that the price elasticity measures an arc elasticity, rather than a pointelasticity.)The price of food increases from $2 to $2.50, so arc elasticity should be used:.We know that E P = -1, P = 2, ∆P = 0.5, and Q=5000. We also know that Q2, the new quantity, is Thus, if there is no change in income, we may solve for ∆Q:-1=∆Q0.5⎛⎝⎫⎭2+2.525,000+5,000+∆Q()2⎛⎝⎫⎭⎪⎪⎪.By cross-multiplying and rearranging terms, we find that ∆Q = -1,000. This means that she decreases her consumption of food from 5,000 to 4,000 units.b.Suppose that she is given a tax rebate of $2,500 to ease the effect of the sales tax.What would her consumption of food be now?A tax rebate of $2,500 implies an income increase of $2,500. To calculate the response of demand to the tax rebate, use the definition of the arc elasticity of income..We know that E I= 0.5, I = 25,000, ∆I = 2,500, Q = 4,000 (from the answer to 11.a). Assuming no change in price, we solve for ∆Q.0.5=∆Q2,500⎛⎝⎫⎭⎪25,000+27,50024,000+4,000+∆Q()2⎛⎝⎫⎭⎪⎪⎪.By cross-multiplying and rearranging terms, we find that ∆Q= 195 (approximately). This means that she increases her consumption of food from 4,000 to 4,195 units.c.Is she better or worse off when given a rebate equal to the sales tax payments? Draw agraph and explain.Felicia is likely to be better off after the rebate. The amount of the rebate is enough to allow her to purchase her original bundle of food and other goods. Recall that originally she consumed 5000 units of food. When the price went up by fifty cents per unit, she needed an extra 5000*$0.50=$2,500 to afford the same quantity of food without reducing the quantity of the other goods consumed. This is the exact amount of the rebate. However, she did not choose to return to her original bundle. We can therefore infer that she found a better bundle that gave her a higher level of utility. In the graph below, when the price of food increases, the budget line will pivot inwards. When the rebate is given, this new budget line will shift outwards. The bundle after the rebate is on that part of the new budget line that was previously unaffordable, and that lies above the original indifference curve.13. Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossings Q is given by P =15-12Q . a. Draw the demand curve for bridge crossings. The demand curve is linear and downward sloping. The vertical intercept is 15 and thehorizontal intercept is 30.b.How many people would cross the bridge if there were no toll? At a price of zero, the quantity demanded would be 30. c. What is the loss of consumer surplus associated with a bridge toll of $5?If the toll is $5 then the quantity demanded is 20. The lost consumer surplus is the area below the price line of $5 and to the left of the demand curve. The lost consumer surplus canbe calculated as (5*20)+0.5(5*10)=$125.d. The toll bridge operator is considering an increase in the toll to $7. At this new higher price, how many people would cross the bridge? Would the toll bridge revenueincrease or decrease? What does your answer tell you about the elasticity of demand?At a toll of $7, the quantity demanded would be 16. The initial toll revenue was $5*20=$100.The new toll revenue is $7*16=$112. Since the revenue went up when the toll was increased, demand is inelastic (the increase in price (40%) outweighed the decline in quantitydemanded (20%)).e. Find the lost consumer surplus associated with the increase in the price of the tollfrom $5 to $7.The lost consumer surplus is (7-5)*16+0.5(7-5)(20-16)=$36.。