Elasticity

Chapter 17

Calculating percent change (%change)

n    %change

n     = 100X(new number – old number)

n                        (old number)

 

Calculating percent change (%change)

n     %change  = 100X(new number - old number)/(old number)

n     If old price was $10 and new price was $12, then:

n     %change = 100x(12-10)/10 = 100x(2)/10 = +20 percent

n     If old price was $20 and new price was $10, then:

n     %change = 100x(10-20)/20 = 100x(-10)/20 = -50 percent

 

Elasticity of demand

n    Elasticity measures the intensity of the response buyers have to a price change

 

Elasticity of demand

n    Elasticity measures the intensity of the response buyers have to a price change

n    Compares %change in quantity demanded to %change in price

n    If %change in Q > %change in P, the response is elastic

n    If %change in Q < %change in P, the response is inelastic

 

Definitions

n    Elastic:

n    A big response to a small price change

n    %change in Q > %change in P

n    Inelastic:

n    A small response to a big price change

n    %change in Q < %change in P

n    Unit Elastic:

n    %change in Q = %change in P

 

Elastic Demand

n     %change in Q > %change in P

n     big response to a small price change

n     shallow demand curves are elastic

 

Inelastic Demand

n     %change in Q < %change in P

n     small response to a big price change

n     steep demand curves are inelastic

 

Unit Elastic

n     %change in Q = %change in P

n     same size response to a price change

n     this type of demand curve must always be curved, as shown

 

Extreme Situations

n    Perfectly inelastic:

n    %change in Q = 0 no matter what the %change in P is

n    Demand curve is vertical

n    Perfectly elastic:

n    %change in P = 0 no matter what the %change in Q is

n    Demand curve is horizontal

 

Perfectly Inelastic Demand (chart)

Perfectly Elastic Demand (chart)

 

Elasticity of Demand: Characteristics

n    Number of substitutes

n    many substitutes? elastic

n    few or no substitutes? inelastic

 

Elasticity of Demand: Characteristics

n    Necessity or luxury?

n    can do without (luxury)? – elastic

n    can’t do without (necessity)? - inelastic

 

Elasticity of Demand: Characteristics

n    Percent of budget spent on the good.

n    big ticket item? – elastic

n    small price tag? – inelastic

 

Examples

n    Elastic Demand:

n    Refrigerators

n    Furniture

n    European vacations

n    Inelastic Demand:

n    Cigarettes

n    Coffee

n    Gasoline

 

Total Revenue Test (TR=PxQ)

n    For a price increase:

n    Elastic if TR decreases (Q falls faster than P rises)

n    Inelastic if TR increases (Q falls slower than P rises)

 

Total Revenue Test (TR=PxQ)

n    For a price decrease:

n    Elastic if TR increases (Q rises faster than P falls)

n    Inelastic if TR decreases (Q rises slower than P falls)

 

Total Revenue Test: Applications

n    If you sell elastic goods, always make it appear you are having a sale

n    If you sell inelastic goods, you can increase your price and increase your revenues

 

Straight-line Demand Curve

A straight-line demand curve: (chart)

high end:

     TR rises as P falls

    elastic

low end:

     TR falls as P falls      

     inelastic

 

Elasticity and Taxation

n    Tax Incidence:

n    Identifies who really ends up paying a tax

n    Taxes can be either direct or indirect.

 

Elasticity and Taxation

n    Direct Tax:

n    levied on a person who ends up paying the tax (income tax is an example)

n    Indirect Tax:

n    levied on a product.

n    The seller actually sends the money to the government, but passes the tax onto the customer, if he can, by raising prices.

 

Pass the tax to the customer?

n     If the good is elastic, a P increase causes a big Q decrease and TR decrease

n    The seller “eats” the tax

n     If the good is inelastic, a P increase causes a small Q decrease and TR increase

n    The seller passes the tax on to the customer, who really ends up paying the tax

 

Taxes create inefficiency

n    All taxes are paid by people:

n    Consumers pay the tax on inelastic goods

n    Sellers pay the tax on elastic goods

n    A tax on goods shifts supply curve left:

n    Less is bought at a higher price

n    There is a deadweight loss to society.

n    It reduces both consumer surplus and producer surplus

 

Deadweight Loss due to a Tax (chart)

 

Deadweight Loss due to a Tax (chart)

 

Deadweight Loss due to a Tax (chart)

 

Elasticity of supply

n    Measures the response of suppliers in providing goods to price changes

n    Compares the %change in quantity supplied to the %change in price

n    The major determinant is time:

n    Little or no time to respond: inelastic

n    As time to respond increases, more and more elastic

 

 

Consumer Choice: Utility

Chapter 18

Utility Relationships

n    Total Utility (TU):

n    Total satisfaction you receive from consuming all of the goods

n    Marginal Utility (MU):

n    Added satisfaction you receive from consuming one more of the good

n    If MU is > 0, then TU increases

n    TU maximizes when MU diminishes to 0

 

Law of Diminishing Marginal Utility

n    Use more and more of one good and diminishing marginal utility will set in.

n    The next unit yields less satisfaction (utility) to you than the previous one

 

TU and  MU: Data and Graphs (chart)

 

How do I know when to stop?

n    Recognize that diminishing MU exists!

n    Do a marginal analysis:

n    Last step taken: did MU>MC?

n    Predict: the next unit is worthwhile and do it!

n    Last step taken: did MU=MC or MU<MC?

n   Stop; do not accept the next unit

n    Using marginal analysis this way lets you know when to stop

 

Utility Maximization (chart)

 

The MU/P Ratio

n    MU = value to the buyer

n    P = price (money spent)

n    Form a ratio for each product:

n      Product x: MUx/Px

n      Product y: MUy/Py

n    Etc.

 

The MU/P ratio

n    Buyer’s benefit-cost analysis:

n    Compare MU to P

n    All options must have MU>P (so that MU/P>1)

n    Select the best option, which has the largest MU/P ratio.

n    Do this and get the most value for money spent each time.

 

Reaching Consumer Equilibrium

n     Continue to buy more items if

n    The MU/P of one item exceeds the MU/P of another item, and

n    You have not yet run out of money to spend

n     Consumer equilibrium exists when the MU/P of all remaining items are equal

n     The consumer becomes “indifferent”

n     TU is maximized

 

Utility Maximizing Rule

n    If a person could get more utility per dollar by buying good X, then they should continue to buy good X until the ratios are equal.

 

Utility Maximizing Rule

n    Only then will utility be maximized.

 

Consumer Equilibrium

n     This occurs when the consumer is satisfied with the mix of products he has chosen

n    All potential purchases have the same MU/P ratio

n    Consumer is indifferent to each of them

n     Consumer Equilibrium is upset when:

n    the MU of one item changes (consumer preference changes), or

n    the P of one item changes

 

Upsetting consumer equilibrium

n     Start:

n    MUx/Px = MUy/Py, consumer is indifferent.

n     Let either MUx increase or Px decrease.

n      Then MUx/Px > MUy/Py

n    The consumer will buy more X, less Y

n     Let either MUx decrease or Px increase.

n    Then MUx/Px < MUy/Py

n    The consumer will buy more Y, less X

 

Advertising

n     Preferences (MU) can change, sometimes abruptly

n     Advertising’s goal is to get you to increase your preference (MU) for a good

n     This will prompt you to buy the good

n     A successful ad campaign will increase sales revenue greater than the cost the of campaign