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CHAPTER 3 Quantitative Demand Analysis Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
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Chapter Outline The elasticity concept Own price elasticity of demand – Elasticity and total revenue – Factors affecting the own price elasticity of demand – Marginal revenue and the own price elasticity of demand Cross-price elasticity – Revenue changes with multiple products Income elasticity Other Elasticities – Linear demand functions – Nonlinear demand functions Obtaining elasticities from demand functions – Elasticities for linear demand functions – Elasticities for nonlinear demand functions Regression Analysis – Statistical significance of estimated coefficients – Overall fit of regression line – Regression for nonlinear functions and multiple regression 3-2 Chapter Overview
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Introduction Chapter 2 focused on interpreting demand functions in qualitative terms: – An increase in the price of a good leads quantity demanded for that good to decline. – A decrease in income leads demand for a normal good to decline. This chapter examines the magnitude of changes using the elasticity concept, and introduces basic analysis to measure different elasticities. 3-3 Chapter Overview
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Own Price Elasticity 3-4 Own Price Elasticity of Demand
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Copyright © 2014 by the McGraw-Hill Companies, Inc. All rights reserved. 2-5
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Total Revenue Test When demand is elastic: – A price increase (decrease) leads to a decrease (increase) in total revenue. When demand is inelastic: – A price increase (decrease) leads to an increase (decrease) in total revenue. When demand is unitary elastic: – Total revenue is maximized. 3-6 Own Price Elasticity of Demand
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Copyright © 2014 by the McGraw-Hill Companies, Inc. All rights reserved. 2-7
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Extreme Elasticities 3-8 Quantity Demand Price Perfectly Inelastic Demand Perfectly elastic Own Price Elasticity of Demand
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Factors Affecting the Own Price Elasticity Three factors can impact the own price elasticity of demand: – Availability of consumption substitutes. – Time/Duration of purchase horizon. – Expenditure share of consumers’ budgets. 3-9 Own Price Elasticity of Demand
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Elasticity and Marginal Revenue 3-10 Own Price Elasticity of Demand
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Demand and Marginal Revenue 3-11 Quantity 0 MR 3 Price 6 Elastic Demand Own Price Elasticity of Demand 1 6 Inelastic Unitary Marginal Revenue (MR)
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Cross-Price Elasticity 3-12 Cross-Price Elasticity
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Cross-Price Elasticity in Action 3-13 Cross-Price Elasticity
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3-14 Cross-Price Elasticity
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Cross-Price Elasticity in Action 3-15 Cross-Price Elasticity
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Income Elasticity 3-16 Income Elasticity
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Income Elasticity in Action 3-17 Income Elasticity
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Other Elasticities Own advertising elasticity of demand for good X is the ratio of the percentage change in the consumption of X to the percentage change in advertising spent on X. Cross-advertising elasticity between goods X and Y would measure the percentage change in the consumption of X that results from a 1 percent change in advertising toward Y. 3-18 Other Elasticities
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Elasticities for Linear Demand Functions 3-19 Obtaining Elasticities From Demand Functions
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Elasticities for Linear Demand Functions In Action 3-20 Obtaining Elasticities From Demand Functions
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Elasticities for Nonlinear Demand Functions 3-21 Obtaining Elasticities From Demand Functions
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Elasticities for Nonlinear Demand Functions In Action 3-22 Obtaining Elasticities From Demand Functions
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Regression for Nonlinear Functions and Multiple Regression 3-23 Regression Analysis
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Conclusion Elasticities are tools you can use to quantify the impact of changes in prices, income, and advertising on sales and revenues. Given market or survey data, regression analysis can be used to estimate: – Demand functions. – Elasticities. – A host of other things, including cost functions. Managers can quantify the impact of changes in prices, income, advertising, etc. 3-24
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