Price Elasticity of Demand and Total Revenue
Learning
Contents:
·
Concept
of Price Elasticity of Demand and Total revenue
·
Relationship
between Price Elasticity and Total revenue
·
Impact
of Price change on the Total revenue of the Firm
Price
Elasticity of Demand
Price elasticity of
demand explains how much change can be seen in quantity demanded as a result of
change in the price of the commodity. It shows whether the demand for the commodity is elastic i.e. very responsive to price
change or inelastic i.e. less
responsive to price change. When an increase in price reduces the quantity
demanded a lot and decrease in price increases the quantity demanded a lot is
called elastic demand. On the other hand, when an increase in price reduces the quantity demanded just a little
and decrease in price increases the quantity demanded just a little is called
an inelastic demand.
Total
Revenue:
The amount of money
that a firm receives from the sale of its total output is called total revenue.
It is calculated by multiplying the price by quantity demanded or sold. For example, a firm sells 100 units of
cookies at a price of ₹ 10 each, the total revenue of the firm will be:
TR= Price × Quantity
Demanded/ Sold
TR= 10× 100 = ₹ 1000
An important point to
note here is that the total revenue includes cost and profits. Continuing the
above example, if a firm incurs a cost of ₹ 200 in producing the cookies and
earns a profit of ₹ 800. Therefore, the total revenue will be:
Total Revenue = Profits
+ Costs (Because,
Profit = Total Revenue – Costs)
₹1000= ₹800 + ₹200
Relationship between Price Elasticity and Total Revenue
The total revenue of the firm can be determined on the basis of the price and elasticity of a good. Goods with inelastic demand are priced high to earn high revenue. On the other hand, goods with elastic demand are priced lower to earn high revenue. Therefore, the total revenue of the firm changes on the basis of the price charged and the elasticity of the good. The effect of price change on quantity demanded and on the total revenue of the firm is explained as below:
Diagram 1: Price Elasticity of Demand and Total Revenue.
Impact
of Price change on the total revenue of the firm
The effect of change in price on the total revenue of the seller can be understood with the help of following three situations explained below:
1.
When Demand is Elastic
Demand is said to be
price elastic when Ed > 1 i.e. Demand is highly responsive to the price
change. Simply, when the percentage change in quantity demanded > percentage
change in price. A rise in price leads to a larger fall in quantity demanded
and therefore, decreases the total revenue of the seller. On the other hand, a
fall in price leads to a larger increase in quantity demanded and therefore,
increases the total revenue of the seller.
Elastic
Demand and Total Revenue Example:
The Table 1 and Figure
1 explains the effect of price change on the total revenue when the price of
soda drink falls from ₹ 8 to ₹ 6 and quantity demanded increases from 5 units
to 15 units.
Table 1
P=8 |
Q=5 |
TR before price falls i.e. ₹40 |
P1 =6 |
Q1 =15 |
TR after price falls i.e. ₹90 |
Figure 1
In Figure 1, DD is the
demand curve having a flatter slope that shows an elastic demand i.e. change in
quantity demand is more than the change in price. The red shaded area shows an increase
in total revenue as quantity demanded increased from 5 units to 15 units and the
green shaded area shows a decrease in total revenue on account of fall in price
from ₹ 8 to ₹ 6. It shows that increase in quantity demand is more than fall in
price.
2.
When Demand is inelastic:
Demand is said to be
price inelastic when Ed < 1 i.e. Demand is less responsive to the price
change. Simply, when the percentage change in quantity demanded < percentage
change in price. A rise in price leads to a smaller fall in quantity demanded
and therefore, increases the total revenue of the seller. On the other hand, a
fall in price leads to a smaller increase in quantity demanded and therefore, decreases
the total revenue of the seller.
Table
2
P=4 |
Q=15 |
TR before price rise i.e. ₹60 |
P1 =8 |
Q1 =10 |
TR after price rise i.e. ₹80 |
Figure 2
In Figure 2, DD is the
demand curve having a steep slope that shows an inelastic demand i.e. change in
quantity demand is less than the change in price. The red shaded area shows an
increase in total revenue on account of price rises from ₹ 4 to ₹ 8 and the
green shaded area shows a decrease in total revenue on account of fall in
quantity demanded from 15 units to 10 units. It shows that the change in quantity
demand is less than the change in price.
3.
When Demand is Unitary Elastic:
Demand is said to be unitary
elastic when Ed = 1 i.e. Demand is equally responsive to the price change.
Simply, when the percentage change in quantity demanded = percentage change in
price. When an increase in price exactly balances the reduction in quantity
demanded respectively keeping total revenue unchanged. In this case, price
change has no effect on the total revenue of the seller i.e. remains unchanged.
Figure 3
|
Increase in
Price |
Decrease in
Price |
When Demand is Elastic |
Revenue Falls |
Revenue Rises |
When Demand is Inelastic |
Revenue Rises |
Revenue Falls |
When Demand is Unitary Elastic |
Revenue Same |
Revenue Same |
Let’s
try some questions
Choose
the Correct Answer
1. When price falls and demand is
inelastic, total revenue?
a. Decreases
b.
Increases
c.
Constant
d.
None
of above.
2. When price rises and demand is
elastic, total revenue?
a. Decreases
b.
Increases
c.
Constant
d. None of above.
3. When price falls and demand is
elastic, total revenue?
a. Decreases
b.
Increases
c.
Constant
d. None of above.
4. When price rises and demand is
inelastic, total revenue?
a. Decreases
b.
Increases
c.
Constant
d.
None
of above.
5. When price rises and demand is
unitary elastic, total revenue?
a. Decreases
b.
Increases
c.
Constant
d. None of above.
6. The elasticity of demand for a good
is 0.1. If the producer raises prices by 10%, what will happen to his total
revenue?
a. It will decrease
b.
It will increase
c.
It will
remain
constant
d.
None
of above.
7. A manager of a restaurant wants to
increase his revenue. The servers
suggest for decreasing the price of food and drinks. The server’s
recommendation is based on the assumption that
a. Demand for food and drink is
elastic
b.
Demand for food and
drink is inelastic
c.
Demand for food
and drink is unitary elastic
d.
None
of above.
8. If demand is inelastic,.................... in price leads to ......................... in total revenue.
a. a decrease, an increase.
b. a decrease, a decrease.
c. an increase, a decrease.
d. an increase, an increase.
Answer Key
1.a |
2.a |
3.b |
7. a |
4.b |
5.c |
6. b |
8. d |
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