Unit #3: Fundamentals of Economics

Chapter 2: Supply and Demand Models

Lesson: Elasticity
  • Big Idea:
    Economists use supply and demand models to analyze and illustrate factors affecting economic choices.

  • Framing Questions:
    • What factors tend to contribute to economic change and stability?

  • Overall Expectation:
    Supply and Demand Models: Students will demonstrate an understanding of supply and demand models, including how to apply these models, and of factors that affect supply and demand (FOCUS ON: Cause and Effect; Stability and Variability).

  • Specific Expectations:
    B2.1: Students will demonstrate an understanding of models of supply and demand, including price elasticity, and apply these models to analyze selected economic decisions.
    B2.2: Students will explain how various factors, including taxation, affect supply and demand.

  • Success Criteria:
    • I can define elastic demand, inelastic demand.
    • I can provide examples of elastic demand, inelastic demand.
    • I can illustrate elastic, inelastic, unit elastic, perfectly elastic – demand/supply.
    • I can calculate price elasticity, cross-price elasticity, income-elasticity demand.


4 Types of Elasticity

  1. Elasticity of Demand

  2. Elasticity of Supply

  3. Cross-Price Elasticity (Substitutes vs. Complements)

  4. Income Elasticity (Normal vs. Inferior)


1. Elasticity of Demand

  • Definition:
    Elasticity of Demand is a measurement of consumer responsiveness to a change in price.

  • Key Questions:
    • What will happen if price increases?
    • How much will it affect Quantity Demanded?
    • Who cares?

    • Used by firms to help determine prices and sales.

    • Used by the government to decide how to tax.


Inelastic Demand

  • Characteristics:
    • If price increases, quantity demanded will fall a little.
    • If price decreases, quantity demanded increases a little.
    • Consumers will continue to buy despite price changes.

  • Example Elasticities:
    • 20% increase in price leads to 5% decrease in quantity demanded (Inelastic = Insensitive to a change in price).

  • Examples of Inelastic Demand:
    • Gasoline
    • Diapers
    • Chewing Gum
    • Medical Care
    • Toilet Paper

  • Graphical Representation:
    An inelastic demand curve is steep, resembling the shape of a letter “I.”


General Characteristics of Inelastic Goods

  • Few substitutes available.

  • Considered necessities.

  • Take a small portion of consumer income.

  • Must be acquired immediately rather than delayed.

  • Elasticity coefficient is less than 1.


Elastic Demand

  • Characteristics:
    • If price increases, quantity demanded will fall significantly.
    • If price decreases, quantity demanded increases significantly.
    • The amount people buy is sensitive to price changes.

  • Example Elasticities:
    • Price increases lead to substantial decrease in quantity demanded (Sensitivity to price changes).

  • Examples of Elastic Demand:
    • Boats
    • Ferrari
    • Gold

  • Graphical Representation:
    An elastic demand curve is flat.


General Characteristics of Elastic Goods

  • Many substitutes are available.

  • Considered luxuries.

  • Take a large portion of consumer income.

  • Sufficient time to make purchase decisions.

  • Elasticity coefficient is greater than 1.


Refinement – The Midpoint Formula

  • Price Elasticity of Demand (Ed) Formula:
    E_d = \frac{\text{Change in quantity}}{\frac{\text{Sum of Quantities}}{2}} \div \frac{\text{Change in price}}{\frac{\text{Sum of prices}}{2}}


Elastic or Inelastic? Examples

  • Elastic Examples:
    • Beef: 1.27
    • Ferrari: 1.60
    • Gold: 2.6

  • Inelastic Examples:
    • Gasoline: 0.20
    • Medical Care: 0.31
    • Electricity: 0.13

  • Perfectly Inelastic Demand:
    For insulin for diabetics: Coefficient = 0

  • Unit Elastic Demand:
    Occurs when % change in quantity demanded equals % change in price with coefficient = 1 (45-degree line).


Total Revenue Test

  • Purpose:
    Uses elasticity to show how changes in price will affect total revenue (TR).
    TR = Price \times Quantity

  • Elastic Demand Implications:
    • Price increase causes TR to decrease.
    • Price decrease causes TR to increase.

  • Inelastic Demand Implications:
    • Price increase causes TR to increase.
    • Price decrease causes TR to decrease.

  • Unit Elastic Implications:
    • Price changes lead to unchanged TR.

  • Example Scenario:
    If demand for milk is inelastic, and the price increases, what will happen to TR on milk?


Illustration of Total Revenue Impact

  • Example Calculation:
    A to B price change example:
    • Revenue at point A: 10 units sold at $100 = $1000 (TR)
    • Revenue at point B: 5 units sold at $225 = $1125 (TR)
    • Observation: Price decreased leading to increased TR, indicating demand is elastic (125% responsiveness).


2. Price Elasticity of Supply

  • Definition:
    Elasticity of Supply shows how sensitive producers are to a change in price.

  • General Characteristics:
    • Elasticity of supply depends on time limitations; producers need time to increase production.

  • Inelastic Supply:
    • Insensitive to a change in price, represented by a steep curve.
    • Most goods exhibit inelastic supply in the short-run.

  • Elastic Supply:
    • Sensitive to a change in price, illustrated by a flat curve.
    • Most goods have elastic supply in the long-run.

  • Perfectly Inelastic Supply:
    • Quantity does not change regardless of price changes, represented by a vertical line.


3. Cross-Price Elasticity of Demand

  • Definition:
    Cross-Price Elasticity shows how sensitive the quantity demanded of one product is to changes in the price of another good.

  • Key Formula:
    \text{Cross-Price Elasticity} = \frac{% \text{ change in price of product "a"}}{% \text{ change in quantity of product "b"}}

  • Interpretation of Coefficient:
    • If coefficient is negative (inverse relationship), goods are complements.
    • If coefficient is positive (direct relationship), goods are substitutes.

  • Example:
    If product P increases by 20% and product Q decreases by 15%, it indicates a relationship between goods.


4. Income Elasticity of Demand

  • Definition:
    Income elasticity shows how sensitive a product is to a change in income.

  • Key Formula:
    \text{Income Elasticity} = \frac{% \text{ change in income}}{% \text{ change in quantity}}

  • Interpretation of Coefficient:
    • If coefficient is negative (inverse relationship), the good is inferior.
    • If coefficient is positive (direct relationship), the good is normal.

  • Examples:
    If income falls by 10% and quantity falls by 20%, or income increases by 20% while quantity decreases by 15%, this implies the good is inferior.