Economics Instructor Miller Supply and Demand Practice Problems
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Demand Curve
Econ 201: Introduction to Economics Analysis September 4 Lecture: Supply and Demand Jeffrey Parker Reed College Daily dose of The Far Side Keeping with the vegetable theme from Wednesday… www.thefarside.com 2 Preview of this class session • Basic principles of market analysis using supply and demand curves are central to economics • Formal conditions for “perfectly competitive” markets are strict and rarely satisfied • We discuss what supply curves and demand curves are • We define market equilibrium and why we expect markets to move there • We consider effects of shifts in curves on equilibrium price and quantity 3 “Two-curve” analysis • Why is it useful? • Two key variables (price, quantity) • One curve slopes up and the other down • Some exogenous variables affect one curve, others the other • Few affect both • Change in any exogenous variable affects one curve in predictable way: • Intersection moves SE, NE, NW, or SE • Predictable changes in price and quantity exchanged https://www.econgraphs.org/graphs/micro/supply_and_demand/supply_and_demand?textbook=varian 4 Demand function • Relates quantity of good demanded to its relative price • Quantity demanded = amount buyers are willing and able to purchase • Relative price is price of good holding all other goods constant • Reflects decision-making by potential buyers • Demand function: QD = D (P ) • Negative relationship • Downward-sloping curve • Need not be straight line https://www.econgraphs.org/graphs/micro/supply_and_demand/supply_and_demand?textbook=varian 5 Demand curves 6 Demand -
Theory of Public Goods
Public Goods Private versus Public Goods A private good (bread) exhibits the following two properties: exclusive: A good is exclusive if once you have purchased a good, then you can exclude others from consuming it. rival: A good is rival in consumption, in the sense that once someone buys a loaf of bread and consumes it, then that precludes you from consuming that same loaf of bread. • A rival good is depletable. A technical consequence of depletability is that consumption of additional amounts of rival goods involve some marginal costs of production. A public good (air quality) may exhibit the following two properties: nonexclusive: A good is nonexclusive if no one can be excluded from benefiting from or consuming the good once it is produced. An implication of nonexclusivity is that goods can be enjoyed without direct payment. nonrivalrous: One person's consumption of a good does not diminish the amount or quality available for others. • A nonrival good is nondepletable. A technical consequence of nondepletability is that the marginal cost of providing a nonrival good to an additional consumer is zero. • All public goods exhibit the nonexcludability property but they do not necessarily exhibit the nonrivalrous property. nonrival rival • water pollution in small body of private good excludable water, indoor air pollution pure public good/bad congestible public good/bad • users neither interfere with each • users affect good's usefulness to other nor increase good's others — mutual interference usefulness to each other of users creates negative nonexcludable (free–rider problem) externality (free–access • biodiversity, greenhouse gases problem) • noise, defence, radio signal • ocean fishery, parks • bridge, highway Aggregate Demand Curves for Private and Public Goods 1. -
Unit 4. Consumer Behavior
UNIT 4. CONSUMER BEHAVIOR J. Alberto Molina – J. I. Giménez Nadal UNIT 4. CONSUMER BEHAVIOR 4.1 Consumer equilibrium (Pindyck → 3.3, 3.5 and T.4) Graphical analysis. Analytical solution. 4.2 Individual demand function (Pindyck → 4.1) Derivation of the individual Marshallian demand Properties of the individual Marshallian demand 4.3 Individual demand curves and Engel curves (Pindyck → 4.1) Ordinary demand curves Crossed demand curves Engel curves 4.4 Price and income elasticities (Pindyck → 2.4, 4.1 and 4.3) Price elasticity of demand Crossed price elasticity Income elasticity 4.5 Classification of goods and demands (Pindyck → 2.4, 4.1 and 4.3) APPENDIX: Relation between expenditure and elasticities Unit 4 – Pg. 1 4.1 Consumer equilibrium Consumer equilibrium: • We proceed to analyze how the consumer chooses the quantity to buy of each good or service (market basket), given his/her: – Preferences – Budget constraint • We shall assume that the decision is made rationally: Select the quantities of goods to purchase in order to maximize the satisfaction from consumption given the available budget • We shall conclude that this market basket maximizes the utility function: – The chosen market basket must be the preferred combination of goods or services from all the available baskets and, particularly, – It is on the budget line since we do not consider the possibility of saving money for future consumption and due to the non‐satiation axiom Unit 4 – Pg. 2 4.1 Consumer equilibrium Graphical analysis • The equilibrium is the point where an indifference curve intersects the budget line, with this being the upper frontier of the budget set, which gives the highest utility, that is to say, where the indifference curve is tangent to the budget line q2 * q2 U3 U2 U1 * q1 q1 Unit 4 – Pg. -
The Demand Curve
Introduction to Supply and Demand Markets are … Consumers and producers Exchange goods/services for payment Most basic is a COMPETITIVE MARKET 5 Elements of S&D Model Demand curve 5 Elements of S&D Model Demand curve Supply curve 5 Elements of S&D Model Demand curve Supply curve Equilibrium 5 Elements of S&D Model Demand curve Supply curve Equilibrium Demand and Supply factors Changes in equilibrium The Demand Curve Chapter 3: Supply and Demand (pages 62-71) Think for a minute… How do we calculate the amount of coffee demanded in a given year? We need a DEMAND SCHEDULE… Demand Schedule and Curve Price Quantity Law of Demand ⇑ Price=⇓ Quantity Demanded Downward-sloping curves Change in quantity demanded Caused by a ∆ in PRICE Demand schedule unchanged Movement along curve Determinants of Demand M.E.R.I.T. shifts the curve Market size (# consumers) Expectations Related prices Income Tastes and preferences Shifts in Demand Demand shifts with ∆ M.E.R.I.T. Increase = shift to right Decrease = shift to left Market Size Amount of goods demanded at a given price will change More buyers = ⇑ Demand Fewer buyers = ⇓ Demand Example: Cost of prescription drugs as the population gets older Expectations Future prices, product availability, and income can shift demand Example: What do you do if the price of gas is expected to fall next week? Example: If the iPhone 5 will be released in October what happens to demand for iPhone 4? Related prices Depends on whether the good is a SUBSTITUTE ⇑P for good 1 ⇑D for good 2 Example: Coffee and Tea COMPLEMENT ⇑P for good 1 ⇓D for good 2 Example: Peanut butter and jelly Income ⇑Income = ⇑Demand (usually…) True for NORMAL goods INFERIOR goods are different ⇑ Income = ⇓ Demand Example: Bus vs. -
1 Unit 4. Consumer Choice Learning Objectives to Gain an Understanding of the Basic Postulates Underlying Consumer Choice: U
Unit 4. Consumer choice Learning objectives to gain an understanding of the basic postulates underlying consumer choice: utility, the law of diminishing marginal utility and utility- maximizing conditions, and their application in consumer decision- making and in explaining the law of demand; by examining the demand side of the product market, to learn how incomes, prices and tastes affect consumer purchases; to understand how to derive an individual’s demand curve; to understand how individual and market demand curves are related; to understand how the income and substitution effects explain the shape of the demand curve. Questions for revision: Opportunity cost; Marginal analysis; Demand schedule, own and cross-price elasticities of demand; Law of demand and Giffen good; Factors of demand: tastes and incomes; Normal and inferior goods. 4.1. Total and marginal utility. Preferences: main assumptions. Indifference curves. Marginal rate of substitution Tastes (preferences) of a consumer reveal, which of the bundles X=(x1, x2) and Y=(y1, y2) is better, or gives higher utility. Utility is a correspondence between the quantities of goods consumed and the level of satisfaction of a person: U(x1,x2). Marginal utility of a good shows an increase in total utility due to infinitesimal increase in consumption of the good, provided that consumption of other goods is kept unchanged. and are marginal utilities of the first and the second good correspondingly. Marginal utility shows the slope of a utility curve (see the figure below). The law of diminishing marginal utility (the first Gossen law) states that each extra unit of a good consumed, holding constant consumption of other goods, adds successively less to utility. -
Evidence from a Laboratory Experiment on Impure Public Goods
MPRA Munich Personal RePEc Archive Green goods: are they good or bad news for the environment? Evidence from a laboratory experiment on impure public goods Munro, Alistair and Valente, Marieta National Graduate Institute for Policy Studies, Tokyo, Japan, NIMA { Applied Microeconomics Research Unit, University of Minho, Portugal, Department of Economics, Royal Holloway University of London, UK 30. October 2008 Online at http://mpra.ub.uni-muenchen.de/13024/ MPRA Paper No. 13024, posted 27. January 2009 / 03:02 Green goods: are they good or bad news for the environment? Evidence from a laboratory experiment on impure public goods (Version January-2009) Alistair Munro Department of Economics, Royal Holloway University of London, UK National Graduate Institute for Policy Studies Tokyo, Japan and Marieta Valente (corresponding author: email to [email protected] ) Department of Economics, Royal Holloway University of London, UK NIMA – Applied Microeconomics Research Unit, University of Minho, Portugal The authors thank Dirk Engelmann for helpful comments and suggestions as well as participants at the Research Strategy Seminar at RHUL 2007, IMEBE 2008, Experimental Economics Days 2008 in Dijon, EAERE 2008 meeting, European ESA 2008 meeting. Also, we thank Claire Blackman for her help in recruiting subjects. Marieta Valente acknowledges the financial support of Fundação para a Ciência e a Tecnologia. Abstract An impure public good is a commodity that combines public and private characteristics in fixed proportions. Green goods such as dolphin-friendly tuna or green electricity programs provide increasings popular examples of impure goods. We design an experiment to test how the presence of impure public goods affects pro-social behaviour. -
ELASTICITY Principles of Economics in Context (Goodwin, Et Al.), 2Nd Edition
Chapter 5 ELASTICITY Principles of Economics in Context (Goodwin, et al.), 2nd Edition Chapter Overview This chapter continues dealing with the demand and supply curves we learned about in Chapter 3. You will learn about the notion of elasticity of demand and supply, the way in which demand is affected by income, and how a price change has both income and substitution effects on the quantity demanded. Objectives After reading and reviewing this chapter, you should be able to: 1. Define elasticity of demand and differentiate between elastic and inelastic demand. 2. Calculate the elasticity of demand. 3. Understand how to apply an elasticity of demand to a business seeking to maximize revenues as well as to a policy situation. 4. Define elasticity of supply and differentiate between elastic and inelastic supply. 5. Understand the income and substitution effects of a price change. 6. Discuss the differences between short-run and long-run elasticities. Key Terms elasticity price elasticity of demand price-inelastic demand price-elastic demand price-inelastic demand (technical definition) price-elastic demand (technical definition) perfectly inelastic demand perfectly elastic demand unit-elastic demand price elasticity of supply income elasticity of demand normal goods inferior goods substitution effect of a price change income effect of a price change short-run elasticity long-run elasticity Chapter 5 – Elasticity 1 Active Review Questions Fill in the blank 1. When you drop by the only coffee shop in your neighborhood, you notice that the price of a cup of coffee has increased considerably since last week. You decide it’s not a big deal, since coffee isn’t a big part of your overall budget, and you buy a cup of coffee anyway. -
Mathematical Economics
Mathematical Economics Dr Wioletta Nowak, room 205 C [email protected] http://prawo.uni.wroc.pl/user/12141/students-resources Syllabus Mathematical Theory of Demand Utility Maximization Problem Expenditure Minimization Problem Mathematical Theory of Production Profit Maximization Problem Cost Minimization Problem General Equilibrium Theory Neoclassical Growth Models Models of Endogenous Growth Theory Dynamic Optimization Syllabus Mathematical Theory of Demand • Budget Constraint • Consumer Preferences • Utility Function • Utility Maximization Problem • Optimal Choice • Properties of Demand Function • Indirect Utility Function and its Properties • Roy’s Identity Syllabus Mathematical Theory of Demand • Expenditure Minimization Problem • Expenditure Function and its Properties • Shephard's Lemma • Properties of Hicksian Demand Function • The Compensated Law of Demand • Relationship between Utility Maximization and Expenditure Minimization Problem Syllabus Mathematical Theory of Production • Production Functions and Their Properties • Perfectly Competitive Firms • Profit Function and Profit Maximization Problem • Properties of Input Demand and Output Supply Syllabus Mathematical Theory of Production • Cost Minimization Problem • Definition and Properties of Conditional Factor Demand and Cost Function • Profit Maximization with Cost Function • Long and Short Run Equilibrium • Total Costs, Average Costs, Marginal Costs, Long-run Costs, Short-run Costs, Cost Curves, Long-run and Short-run Cost Curves Syllabus Mathematical Theory of Production Monopoly Oligopoly • Cournot Equilibrium • Quantity Leadership – Slackelberg Model Syllabus General Equilibrium Theory • Exchange • Market Equilibrium Syllabus Neoclassical Growth Model • The Solow Growth Model • Introduction to Dynamic Optimization • The Ramsey-Cass-Koopmans Growth Model Models of Endogenous Growth Theory Convergence to the Balance Growth Path Recommended Reading • Chiang A.C., Wainwright K., Fundamental Methods of Mathematical Economics, McGraw-Hill/Irwin, Boston, Mass., (4th edition) 2005. -
IS EFFICIENCY BIASED? Zachary Liscow* August 2017 ABSTRACT: the Most Common Underpinning of Economic Analysis of the Law Has
IS EFFICIENCY BIASED? Zachary Liscow* August 2017 ABSTRACT: The most common underpinning of economic analysis of the law has long been the goal of efficiency (i.e., choosing policies that maximize people’s willingness to pay), as reflected in economic analysis of administrative rulemaking, judicial rules, and proposed legislation. Current thinking is divided on the question whether efficient policies are biased against the poor, which is remarkable given the question’s fundamental nature. Some say yes; others, no. I show that both views are supportable and that the correct answer depends upon the political and economic context and upon the definition of neutrality. Across policies, efficiency-oriented analysis places a strong thumb on the scale in favor of distributing more legal entitlements to the rich than to the poor. Basing analysis on willingness to pay tilts policies toward benefitting the rich over the poor, since the rich tend to be willing to pay more due to their greater resources. But I also categorize different types of polices and show where vigilance against anti-poor bias is warranted and where it is not, with potentially far-reaching implications for the policies that judges, policymakers, and voters should support. Table of Contents Introduction ................................................................................................................. 2 I. Social Welfare ..................................................................................................... 7 II. Efficiency ......................................................................................................... -
1. Consider the Following Preferences Over Three Goods: �~� �~� �~� � ≽ �
1. Consider the following preferences over three goods: �~� �~� �~� � ≽ � a. Are these preferences complete? Yes, we have relationship defined between x and y, y and z, and x and z. b. Are these preferences transitive? Yes, if �~� then � ≽ �. If �~� then � ≽ �. If �~� then �~� and � ≽ �. Thus the preferences are transitive. c. Are these preferences reflexive? No, we would need � ≽ � � ≽ � 2. Write a series of preference relations over x, y, and z that are reflexive and complete, but not transitive. � ≽ � � ≽ � � ≽ � � ≽ � � ≽ � � ≻ � We know this is not transitive if � ≽ � and � ≽ � then � ≽ �. But � ≻ �, which would contradict transitivity. 3. Illustrate graphically a set of indifference curves where x is a neutral good and y is a good that the person likes: We know that this person finds x to be a neutral good because adding more x while keeping y constant (such as moving from bundle A to D, or from B to E), the person is indifferent between the new bundle with more x and the old bundle with less x. We know this person likes y because adding more y while keeping x constant (such as moving from bundle A to B, or from D to E), the person is strictly prefers the new bundle with more y than the old bundle with less y. 4. Draw the contour map for a set of preferences when x and y are perfect substitutes. Are these well-behaved? Explain why or why not. We know these are perfect substitutes because they are linear (the MRS is constant) We know they are strictly monotonic because adding Y while keeping X constant (moving from bundle A to bundle B), leads to a strictly preferred bundle (� ≻ �). -
Unit 2: Supply, Demand, and Consumer Choice
Unit 2: Supply, Demand, and Consumer Choice 1 DEMAND DEFINED What is Demand? Demand is the different quantities of goods that consumers are willing and able to buy at different prices. (Ex: Bill Gates is able to purchase a Ferrari, but if he isn’t willing he has NO demand for one) What is the Law of Demand? The law of demand states There is an INVERSE relationship between price and quantity demanded 2 Why does the Law of Demand occur? The law of demand is the result of three separate behavior patterns that overlap: 1.The Substitution effect 2.The Income effect 3.The Law of Diminishing Marginal Utility We will define and explain each… 3 Why does the Law of Demand occur? 1. The Substitution Effect • If the price goes up for a product, consumer but less of that product and more of another substitute product (and vice versa) 2. The Income Effect • If the price goes down for a product, the purchasing power increases for consumers - allowing them to purchase more. 4 Why does the Law of Demand occur? 3. Law of Diminishing Marginal Utility U-TIL-IT- Y • Utility = Satisfaction • We buy goods because we get utility from them • The law of diminishing marginal utility states that as you consume more units of any good, the additional satisfaction from each additional unit will eventually start to decrease • In other words, the more you buy of ANY GOOD the less satisfaction you get from each new unit. Discussion Questions: 1. What does this have to do with the Law of Demand? 2. -
Chapter 4 Individual and Market Demand
Chapter 4: Individual and Market Demand CHAPTER 4 INDIVIDUAL AND MARKET DEMAND EXERCISES 1. 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 to its sales? To its sales revenue? We know the formula for the elasticity of demand is: %DQ E = . P %DP For computer chips, EP = -2, so a 10 percent increase in price will reduce the quantity sold by 20 percent. For disk drives, EP = -1, so a 10 percent increase in price will reduce sales by 10 percent. Sales revenue is equal to price times quantity sold. Let TR1 = P1Q1 be revenue before the price change and TR2 = P2Q2 be revenue after the price change. For computer chips: DTRcc = P2Q2 - P1Q1 DTRcc = (1.1P1 )(0.8Q1 ) - P1Q1 = -0.12P1Q1, or a 12 percent decline. For disk drives: DTRdd = P2Q2 - P1Q1 DTRdd = (1.1P1 )(0.9Q1 ) - P1Q1 = -0.01P1Q1, or a 1 percent decline. Therefore, sales revenue from computer chips decreases substantially, -12 percent, while the sales revenue from disk drives is almost unchanged, -1 percent. Note that at the point on the demand 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 for the firm? If yes, why? If not, what additional information would you need? No.