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Elasticity and Its Determinants
Highlighted Sections
An Important Note Before You Begin with
Elasticity
Price Elasticity of Demand and Its
Determinants
Total Revenue and Price Elasticity of
Demand
Income Elasticity of Demand
Price Elasticity of Supply and Its
Determinants
An Important Note Before You Begin with
Elasticity - (Back to Top)
Please Read this Carefully
Open your textbook to chapter 5. First find the section
called "Computing the Price Elasticity of Demand". Second
find the section (on the next page) "FYI: Calculating
Elasticity Using the Midpoint Method". Read both of these
sections NOW.
What you'll quickly notice is that there are two ways to
calculate price elasticity of demand. In creating the java
applets for this chapter, your CD author was confronted with
EXACTLY the problem described in "FYI: Calculating
Elasticity Using the Midpoint Method" - the problem is that
only the midpoint method will give you the same percentage
change moving from $6 to $4 as from $4 to $6 (the book gives
you the exact calculations).
This "NOTE" is included to point out to you that ALL
examples, problems and java applets in this CD use the
midpoint method to calculate elasticity. Figure 5-1 in your
textbook ALSO uses the midpoint method as well.
PLEASE ask YOUR Professor which formula YOU should use in
YOUR course (the one in the section "Computing the Price
Elasticity of Demand" or the one in "FYI: Calculating
Elasticity Using the Midpoint Method").
These two methods will give SLIGHTLY different answers, so
please be careful.
Price Elasticity of Demand and Its
Determinants - (Back to Top)
Price Elasticity of Demand is defined as:
Whenever the absolute value of price elasticity of demand
is:
- greater than 1, economists say that demand is
elastic. This means that a change in the price of
the product causes a large change in the quantity
demanded for the product.
- equal to 1, economists say that demand is unit
elastic. This means that a change in the price of the
product causes an equally large (in percentage terms)
change in the quantity demanded for the product.
- less than 1, economists say that demand is
inelastic. This means that a change in the price
of the product causes a small change in the quantity
demanded for the product.
*****It is important for students to understand why
elasticity is such an important concept to economists. We
know from the law of demand that quantity demanded and price
are inversely related. Because of this, economists know that
quantity demanded will rise when the price of a product
falls. The reason that price elasticity of demand is so
important is that it gives us information on the size
of the change in quantity demanded when price changes.
- Determinants of Price Elasticity of Demand
- Necessities vs. Luxuries - Because necessities
are goods that people need to consume, they tend
to have an inelastic demand. This means that when the
price of a necessity rises, quantity demanded for the
necessity does NOT change much. Luxuries, on the other
hand, are not goods that people need to consume
(people just consume them if they are able). Because of
this, an increase in the price of a luxury tends to be
associated with a large decrease in the quantity demanded
for the luxury. Economists usually find that luxuries
have elastic demand.
- Availability of Close Substitutes - Products
that have readily available substitutes tend to have
elastic demand. This is because consumers will switch to
the available substitute when the price of the product
rises, causing a large decrease in quantity demanded.
When products do NOT have readily available substitutes,
consumers are not able to switch when the price of the
product rises - therefore the decrease in quantity
demanded will be smaller. Products without readily
available substitutes tend to have more inelastic
demand.
- Definition of the Market - The more
restrictive is your definition of a market, the more
inelastic will be the product demand. As an example,
think of the price elasticity of demand for clothing
versus the price elasticity of demand for blue jeans.
There are many more substitutes for blue jeans than for
clothing in general, and the price elasticity of demand
for blue jeans is likely to be more elastic.
- Time Horizon - Most products have more elastic
demand over a longer period of time. The reason is that
more substitutes will become available in the future than
are currently available. Additionally, people may simply
modify their consumption behavior in the future.
Calculating Elasticity
Before you experiment with the Java Applet (below), let's
review how to numerically calculate price elasticity of
demand, using the "midpoint method". We will calculate the
elasticity of demand for the movement from $5.00 to $4.00
(and quantity 80 to 100) originally depicted in the applet.
If you have already moved the slider in the applet, simply
return it to its center position at this time.
For notation, let's assume that the original point on the
demand curve (price = $5.00 and quantity = 80) can be called
point "A", and the new point on the demand curve (price =
$4.00 and quantity = 100) is called point "B". The formulas
for the percentage change in price and quantity are given
below:
- First notice that, in its original position, this
figure depicts a demand curve that is unit elastic. This
is because, as we move along the demand curve, the
percent change in price is equal to the percent change in
quantity - therefore, the elasticity is equal to 1.
- Now move the slider to the left until the percent
change in quantity is 11%. The demand curve has become
steeper, which means that the change in quantity (along
the horizontal axis of the graph) is smaller. In fact, if
you calculate the elasticity you will find that it is now
equal to 0.5 (demand is inelastic because the elasticity
is less than 1).
- Continue to move the slider all the way to its left
end. At the extreme, we have a demand curve that is
vertical. Here the change in quantity demanded (and the
percent change in quantity demanded as well) is ALWAYS
0!! For a vertical demand curve, the price elasticity of
demand is also equal to zero. This special case is called
"perfectly inelastic demand".
- Now move the slider slightly right of center (until
the percent change in quantity is 44%). At this point,
the price elasticity of demand is 2.0. Remember that
demand is elastic whenever the elasticity is greater than
1. The result of making demand elastic is that the demand
curve has become flatter.
- Finally, move the slider all the way to the right. At
this extreme, the demand curve becomes horizontal. In
this situation, the change in price (and the percent
change in price as well) is ALWAYS 0. For a horizontal
demand curve, the price elasticity of demand is
infinitely large (because to calculate elasticity you
have to divide by zero). This special case is called
"perfectly elastic demand".
Total Revenue and Price Elasticity of
Demand - (Back to Top)
There is an important relationship between Price
Elasticity of Demand Total Revenue.
def: Total Revenue = Price times Quantity
This section focuses on total revenue and elasticity. In
general, you will learn that, if demand is elastic, revenue
increases as price falls, and that, if demand is
inelastic, revenue increases as price rises.
Table #1 Sample Demand Schedule
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pt.
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P
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QD
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TR
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A
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6
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1
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$6
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B
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5
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2
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$10
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C
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4
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3
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$12
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D
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3
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4
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$12
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E
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2
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5
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$10
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F
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6
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1
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$6
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The table above provides a sample demand schedule. This
demand schedule is graphed in the figures at right. First,
notice that this is a linear demand curve (every time price
drops by $1, quantity increases by 1-unit). For practice,
use the midpoint elasticity formula (given above) to
calculate the price elasticity of demand from point A to
point B, from point B to point C, and so on thru point F.
You should get the following answers:
A-B = -11/3
B-C = -9/5
C-D = -1
D-E = -5/9
E-F = -3/11
Be sure you can use the midpoint formula and get these
answers.
OK...now notice the relationship between price elasticity of
demand and total revenue. In the upper figure, the total
revenue at point B is represented by the blue shaded area
(that rectangle has price as it height and quantity as its
width...therefore, the area of the rectangle is price times
quantity...total revenue.). In the lower figure, the total
revenue at point C is represented by the red shaded area.
From B-C, the price elasticity of demand was -9/5
(therefore, demand is elastic since the absolute
value of -9/5 is greater than 1). Also, from B-C, total
revenue increased as price fell.
Now refer back to the table above and see the following
relationships:
- When demand is elastic, total revenue rises as
price falls (see A-B or B-C)
- When demand is unit elastic, total revenue is
at its maximum, and does not change when price changes
(see C-D)
- When demand is inelastic, total revenue rises
as price rises (see E-D or F-E)
You are now ready for this chapter's java exercise.
Income Elasticity of Demand - (Back
to Top)
Income Elasticity of Demand is defined as:
- Normal Goods - A good is a normal good if its
income elasticity is positive. This means that when
income rises, quantity demanded rises - most goods
are normal goods. Also, as shown below, there are
different types of normal goods:
- Necessity Goods - A good is a necessity if
its income elasticity is positive, but less than 1.
This means that if income rises by 10%, quantity
demanded rises by less than 10% - therefore, as
people's income rises, they spend a smaller percentage
of their income on necessities.
- Luxury Goods - A good is a luxury good if
its income elasticity is positive, and greater than 1.
This means that if income rises by 10%, quantity
demanded rises by more than 10% - therefore, people
spend more of their income on luxuries when they have
larger incomes.
- Inferior Goods - A good is an inferior good if
its income elasticity is negative. This means that when
income rises, quantity demanded falls.
Price Elasticity of Supply and Its
Determinants - (Back to Top)
Price Elasticity of Supply is defined as:
- Determinants of Price Elasticity of Supply
- The ability of producers to change output -
the easier it is for producers to alter their output, the
more elastic will be the supply of a product. For
example, the supply of fine art is fixed, because artists
cannot create more after they die. Therefore, as prices
change, the only way for the number of paintings offered
for sale to change is for people to decide to sell the
art they already own. Because of this, the supply for
fine art is quite inelastic.
- Time Horizon - The price elasticity of supply
for most products is more elastic in the long-run than in
the short-run. This is because a longer time horizon
gives producers more opportunity to alter their output of
a good.
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