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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 1 1
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 2 2
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 3 Law of Demand Holding all other things constant (ceteris paribus), there is an inverse relationship between the price of a good and the quantity of the good demanded per time period. –Substitution Effect –Income Effect
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 4 Components of Demand: The Substitution Effect Assuming that real income is constant: –If the relative price of a good rises, then consumers will try to substitute away from the good. Less will be purchased. –If the relative price of a good falls, then consumers will try to substitute away from other goods. More will be purchased. The substitution effect is consistent with the law of demand.
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 5 Components of Demand: The Income Effect The real value of income is inversely related to the prices of goods. A change in the real value of income: –will have a direct effect on quantity demanded if a good is normal. –will have an inverse effect on quantity demanded if a good is inferior. The income effect is consistent with the law of demand only if a good is normal.
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 6 Individual Consumer’s Demand Qd X = f(P X, I, P Y, T) quantity demanded of commodity X by an individual per time period price per unit of commodity X consumer’s income price of related (substitute or complementary) commodity tastes of the consumer Qd X = P X = I = P Y = T =
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 7 Qd X = f(P X, I, P Y, T) Qd X / P X < 0 Qd X / I > 0 if a good is normal Qd X / I < 0 if a good is inferior Qd X / P Y > 0 if X and Y are substitutes Qd X / P Y < 0 if X and Y are complements
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 8
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 9
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 10 Market Demand Curve Horizontal summation of demand curves of individual consumers Exceptions to the summation rules –Bandwagon Effect collective demand causes individual demand –Snob (Veblen) Effect conspicuous consumption a product that is expensive, elite, or in short supply is more desirable
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 11
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 12 Market Demand Function QD X = f(P X, N, I, P Y, T) quantity demanded of commodity X price per unit of commodity X number of consumers on the market consumer income price of related (substitute or complementary) commodity consumer tastes QD X = P X = N = I = P Y = T =
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 13 Demand Curve Faced by a Firm Depends on Market Structure Market demand curve Imperfect competition –Firm’s demand curve has a negative slope –Monopoly - same as market demand –Oligopoly –Monopolistic Competition Perfect Competition –Firm is a price taker –Firm’s demand curve is horizontal
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 14 Demand Curve Faced by a Firm Depends on the Type of Product Durable Goods –Provide a stream of services over time –Demand is volatile Nondurable Goods and Services Producers’ Goods –Used in the production of other goods –Demand is derived from demand for final goods or services
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 15
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 16 Linear Demand Function Q X = a 0 + a 1 P X + a 2 N + a 3 I + a 4 P Y + a 5 T PXPX QXQX Intercept: a 0 + a 2 N + a 3 I + a 4 P Y + a 5 T Slope: Q X / P X = a 1
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 17 Linear Demand Function Example Part 1 Demand Function for Good X Q X = 160 - 10P X + 2N + 0.5I + 2P Y + T Demand Curve for Good X Given N = 58, I = 36, P Y = 12, T = 112 Q = 430 - 10P
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 18 Linear Demand Function Example Part 2 Inverse Demand Curve P = 43 – 0.1Q Total and Marginal Revenue Functions TR = 43Q – 0.1Q 2 MR = 43 – 0.2Q
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 19
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 20
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 21
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 22
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 23 Price Elasticity of Demand Linear Function Point Definition
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 24 Price Elasticity of Demand Arc Definition
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 25 Marginal Revenue and Price Elasticity of Demand
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 26 Marginal Revenue and Price Elasticity of Demand PXPX QXQX MR X
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 27 Marginal Revenue, Total Revenue, and Price Elasticity TR QXQX MR<0MR>0 MR=0
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 28 Determinants of Price Elasticity of Demand The demand for a commodity will be more price elastic if: It has more close substitutes It is more narrowly defined More time is available for buyers to adjust to a price change
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 29 Determinants of Price Elasticity of Demand The demand for a commodity will be less price elastic if: It has fewer substitutes It is more broadly defined Less time is available for buyers to adjust to a price change
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 30
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 31 Income Elasticity of Demand Linear Function Point Definition
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 32 Income Elasticity of Demand Arc Definition Normal GoodInferior Good
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 33
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 34 Cross-Price Elasticity of Demand Linear Function Point Definition
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 35 Cross-Price Elasticity of Demand Arc Definition SubstitutesComplements
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 36
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 37 Example: Using Elasticities in Managerial Decision Making A firm with the demand function defined below expects a 5% increase in income (M) during the coming year. If the firm cannot change its rate of production, what price should it charge? Demand: Q = – 3P + 100M –P = Current Real Price = 1,000 –M = Current Income = 40
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 38 Solution Elasticities –Q = Current rate of production = 1,000 –P = Price = - 3(1,000/1,000) = - 3 –I = Income = 100(40/1,000) = 4 Price –%ΔQ = - 3%ΔP + 4%ΔI –0 = -3%ΔP+ (4)(5) so %ΔP = 20/3 = 6.67% –P = (1 + 0.0667)(1,000) = 1,066.67
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 39
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 40 Other Factors Related to Demand Theory International Convergence of Tastes –Globalization of Markets –Influence of International Preferences on Market Demand Growth of Electronic Commerce –Cost of Sales –Supply Chains and Logistics –Customer Relationship Management
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 41
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 42 Chapter 3 Appendix
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 43 Indifference Curves Utility Function: U = U(Q X,Q Y ) Marginal Utility > 0 –MU X = ∂ U/ ∂ Q X and MU Y = ∂ U/ ∂ Q Y Second Derivatives –∂M U X / ∂ Q X < 0 and ∂M U Y / ∂ Q Y < 0 –∂M U X / ∂ Q Y and ∂M U Y / ∂ Q X Positive for complements Negative for substitutes
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 44 Marginal Rate of Substitution Rate at which one good can be substituted for another while holding utility constant Slope of an indifference curve –dQ Y /dQ X = -MU X /MU Y
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 45
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 46 Indifference Curves: Complements and Substitutes QYQY QXQX QYQY QXQX Perfect Complements Perfect Substitutes
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 47 The Budget Line Budget = M = P X Q X + P Y Q Y Slope of the budget line –Q Y = M/P Y - (P X /P Y )Q X –dQ Y /dQ X = - P X /P Y
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 48 Budget Lines: Change in Price GF: M = $6, P X = P Y = $1 GF’: P X = $2 GF’’: P X = $0.67
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 49
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 50 Budget Lines: Change in Income GF: M = $6, P X = P Y = $1 GF’: M = $3, P X = P Y = $1
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 51 Consumer Equilibrium Combination of goods that maximizes utility for a given set of prices and a given level of income Represented graphically by the point of tangency between an indifference curve and the budget line –MU X /MU Y = P X /P Y –MU X /P X = MU Y /P Y
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 52
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 53 Mathematical Derivation Maximize Utility: U = f(Q X, Q Y ) Subject to: M = P X Q X + P Y Q Y Set up Lagrangian function –L = f(Q X, Q Y ) + (M - P X Q X - P Y Q Y ) First-order conditions imply – = MU X /P X = MU Y /P Y
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 54
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C opyright 2007 by Oxford University Press, Inc. PowerPoint Slides Prepared by Robert F. Brooker, Ph.D.Slide 55
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