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How can we calculate revenue of a firm?
Topic 3.3.3
How can we calculate revenue of a firm?
Topic 3.3.3
Students should be able to:
• Illustrate and perform simple calculations using total
revenue, average revenue and marginal revenue.
• Draw and interpret revenue curves
• Understand the relationships between total revenue,
price elasticity of demand and marginal revenue
Key Concepts - Revenues
Average revenue Revenue per unit or the demand curve
Marginal revenue
The change in total revenue from selling
one extra unit of output
Price-taking businesses
A price taker has to sell at the market
price – found in perfect competition
Revenue maximisation
Revenue maximization is an output when
marginal revenue = zero (MR=0)
Revenue synergies
The ability to sell more products and
services or raise prices after a business
merger e.g. marketing and selling
complementary products; cross-selling
into a new customer base and sharing
distribution channels.
Revenue
• Revenue is the income generated from the sale
of goods and services in a market
• Revenue is the money is coming into the firm –
also known as turnover, or the value of sales
– Average Revenue (AR) = price per unit = total
revenue / output
• The AR curve is the same as the demand curve
– Marginal Revenue (MR) = the change in revenue
from selling one extra unit of output
• Total Revenue (TR) = Price per unit x Quantity
Average Revenue from UK Mobile Users
15.33
16.16 16.33 16.14 15.93
15.38 15.5 15.72
15.26
0
2
4
6
8
10
12
14
16
18
Q1 2012 Q2 2012 Q3 2012 Q4 2012 Q1 2013 Q2 2013 Q3 2013 Q4 2013 Q1 2014
AveragerevenueinGBPpermonth
Average monthly retail revenue per subscriber in the United Kingdom
Revenue Calculations: A Falling AR Curve
Price per unit
(Average
Revenue)
Demand (units)
Total Revenue
(AR x Quantity)
Marginal
Revenue
£20 200 £4000
£18 250 £4500 £10
£16 300 £4800 £6
£14 350 £4900 £2
£12 400 £4800 -£2
£10 450 £4500 -£6
£8 500 £4000 -£10
Revenue Calculations: A Falling AR Curve
Price
Output
MR
AR
P1
P2
Q1 Q2
A fall in price per unit from P1 to
P2 leads to an increase in total
revenue. Demand is price elastic
for this price reduction. Marginal
revenue is positive.
Revenue Calculations: A Falling AR Curve
Price
Output
MR
AR
P1
P2
Q1 Q2
A fall in price per unit from P3 to
P4 leads to a fall in total revenue.
Marginal revenue has become
negative. The business has gone
beyond the point of max revenue.
P3
P4
Q3 Q4
Objective: Revenue Maximisation
Maximum Total Revenue: MR = Zero
Price
Output
MR
AR
Revenue Max: MR=0
Total revenue is maximised when
marginal revenue = zero
This is at the mid-point of the
demand (AR) curve for a business
with a downward-sloping ARP1
Maximum Revenue
• Maximum total revenue occurs where marginal
revenue is zero: i.e. no more added revenue can
be achieved from producing and then selling an
extra unit of output
• The point where MR=zero is directly underneath
the mid-point of a linear demand curve
• When marginal revenue is zero, the price
elasticity of demand = 1
• When marginal revenue is zero, if prices were
cut total revenue would fall, and if prices were
raised total revenue would fall
MC
Price
and
Cost
Output
AC
MR
AR
Revenue Max: MR=0
P1
C1
Maximum Revenue and Profit
MC
Price
and
Cost
Output
AC
MR
AR
Revenue Max: MR=0
P1
C1
Maximum Revenue and Profit
Total Profit
Choosing a price that maximises total revenue involves sacrificing some profit
100 largest companies in the world ranked by revenue in 2014 ($
476.86
476.29
468
400.67
390.25
373
270.61
245.91
235.87
234.1
216.57
211.77
171.6
170.91
168.2
0 100 200 300 400 500 600
Royal Dutch Shell
Wal-Mart Stores
Sinopec
BP
Exxon Mobil
PetroChina
Volkswagen
Glencore Xstrata
Total
Toyota Motor
Samsung Electronics
Chevron
Phillips 66
Apple
E On
Revenue in billion U.S. dollars
Largest Businesses by Revenue (2014)
Largest hotel companies in the world ranked by revenue in 2014 ($)
22.8
13.8
10.5
5.98
5.86
5.28
4.42
2.11
1.08
1.01
0.76
0 5 10 15 20 25
InterContinental Hotels Group (UK)
Marriott International (US)
Hilton Worldwide (US)
Starwood Hotels & Resorts (US)
Accor (France)
Wyndham Hotel Group (US)
Hyatt Hotels (US)
Shangri-La Asia (Hong Kong, China)
Home Inns (China)
The Rezidor Hotel Group (Belgium)
Choice Hotels International (US)
Revenue in billion U.S. dollars
Largest Hotel Chains by Revenue (2014)
Marriott International and Starwood Hotels announced a merger in the autumn of 2015
Google and Apple’s Revenue
37.5
42.9
65.2
108.2
156.5
170.9
182.8
21.8 23.7
29.3
37.9
50.18
59.83
66
0
20
40
60
80
100
120
140
160
180
200
2008 2009 2010 2011 2012 2013 2014
RevenueinbillionU.S.dollars
Apple Google
Growing Revenue for Google and Apple
Google and Apple’s RevenueRevenue By Segment for Facebook
0
2000
4000
6000
8000
10000
12000
14000
2009 2010 2011 2012 2013 2014
RevenueinmillionU.S.dollars
Advertising revenue Payments and other fees revenue
Google and Apple’s RevenueAncillary Revenues - Airlines
38.7%
33.7%
32.4%
28.5%
24.6%
21.8%
20.8%
20.7%
20%
19.5%
0.0% 5.0% 10.0% 15.0% 20.0% 25.0% 30.0% 35.0% 40.0% 45.0%
Spirit
Wizz Air
Allegiant
Jet2.com
Ryanair
TigerAir
Jetstar
Flybe
Air Asia X
Volaris
Ancillary revenue as a share of total
Many airlines generate
ancillary revenues besides the
ticket price – including
baggage fees, priority
boarding charges and
revenues from on-board sales
Google and Apple’s RevenueSeasonal Revenues
• Seasonality refers to fluctuations in
output and sales revenue related to
the seasonal of the year.
• For most products there will be
seasonal peaks and troughs in
production and/or sales
• Demand for slippers peaks in the run
up to Christmas
• Demand for plants at garden centres
is linked to the planting season
• There is high demand for decorating
materials before the Easter weekend
• High street retailers such as jewelry
companies may sell as much as 80-
90% of their products over Xmas
• Theatres take a high % of their
income during pantomime season
Easter
chocolate
Summer fruits
Winter clothing Ski season
products
Some examples of seasonal demand
Revenue Curves in Competitive Markets
• In a perfectly competitive market, total revenue
(TR) is a diagonal straight line passing through
the origin
• Market demand and supply determine the price
and each firm is a price taker
• Thus, average revenue is constant
• Thus, average revenue – marginal revenue at the
prevailing market price
Average, Marginal and Total Revenue
Price,
Cost
Output
Total
Revenue
Output
Market Supply and
Demand
Total Revenue
D
S
Price =
£3
Total
Revenue
TR when there is a rise in market price
Price,
Cost
Output
Total
Revenue
Output
Market Supply and
Demand
Total Revenue
D1
S
Price =
£3
TR1
D2
Price =
£4
TR2
A rise in market price leads to an increase in the gradient of the total revenue curve
TR when there is a fall in market price
Price,
Cost
Output
Total
Revenue
Output
Market Supply and
Demand
Total Revenue
D1
S
Price =
£3
TR1
D2
Price =
£4
TR2
Price =
£2
D3
TR3
A fall in market price leads to a reduction in the gradient of the total revenue curve
Google and Apple’s RevenuePrice Takers and Price Makers
Price
Output
Price
Output
AR = MR
AR
MR
Price takers accept the
ruling market price and
sell each unit at the
same price. AR=MR
Price makers have some
pricing power and will
face a downward
sloping AR curve
Price makers are found in imperfectly competitive markets such as Monopoly & Oligopoly
How can we calculate revenue of a firm?
Topic 3.3.3

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Business Revenues

  • 1. How can we calculate revenue of a firm? Topic 3.3.3
  • 2. How can we calculate revenue of a firm? Topic 3.3.3 Students should be able to: • Illustrate and perform simple calculations using total revenue, average revenue and marginal revenue. • Draw and interpret revenue curves • Understand the relationships between total revenue, price elasticity of demand and marginal revenue
  • 3. Key Concepts - Revenues Average revenue Revenue per unit or the demand curve Marginal revenue The change in total revenue from selling one extra unit of output Price-taking businesses A price taker has to sell at the market price – found in perfect competition Revenue maximisation Revenue maximization is an output when marginal revenue = zero (MR=0) Revenue synergies The ability to sell more products and services or raise prices after a business merger e.g. marketing and selling complementary products; cross-selling into a new customer base and sharing distribution channels.
  • 4. Revenue • Revenue is the income generated from the sale of goods and services in a market • Revenue is the money is coming into the firm – also known as turnover, or the value of sales – Average Revenue (AR) = price per unit = total revenue / output • The AR curve is the same as the demand curve – Marginal Revenue (MR) = the change in revenue from selling one extra unit of output • Total Revenue (TR) = Price per unit x Quantity
  • 5. Average Revenue from UK Mobile Users 15.33 16.16 16.33 16.14 15.93 15.38 15.5 15.72 15.26 0 2 4 6 8 10 12 14 16 18 Q1 2012 Q2 2012 Q3 2012 Q4 2012 Q1 2013 Q2 2013 Q3 2013 Q4 2013 Q1 2014 AveragerevenueinGBPpermonth Average monthly retail revenue per subscriber in the United Kingdom
  • 6. Revenue Calculations: A Falling AR Curve Price per unit (Average Revenue) Demand (units) Total Revenue (AR x Quantity) Marginal Revenue £20 200 £4000 £18 250 £4500 £10 £16 300 £4800 £6 £14 350 £4900 £2 £12 400 £4800 -£2 £10 450 £4500 -£6 £8 500 £4000 -£10
  • 7. Revenue Calculations: A Falling AR Curve Price Output MR AR P1 P2 Q1 Q2 A fall in price per unit from P1 to P2 leads to an increase in total revenue. Demand is price elastic for this price reduction. Marginal revenue is positive.
  • 8. Revenue Calculations: A Falling AR Curve Price Output MR AR P1 P2 Q1 Q2 A fall in price per unit from P3 to P4 leads to a fall in total revenue. Marginal revenue has become negative. The business has gone beyond the point of max revenue. P3 P4 Q3 Q4
  • 10. Maximum Total Revenue: MR = Zero Price Output MR AR Revenue Max: MR=0 Total revenue is maximised when marginal revenue = zero This is at the mid-point of the demand (AR) curve for a business with a downward-sloping ARP1
  • 11. Maximum Revenue • Maximum total revenue occurs where marginal revenue is zero: i.e. no more added revenue can be achieved from producing and then selling an extra unit of output • The point where MR=zero is directly underneath the mid-point of a linear demand curve • When marginal revenue is zero, the price elasticity of demand = 1 • When marginal revenue is zero, if prices were cut total revenue would fall, and if prices were raised total revenue would fall
  • 13. MC Price and Cost Output AC MR AR Revenue Max: MR=0 P1 C1 Maximum Revenue and Profit Total Profit Choosing a price that maximises total revenue involves sacrificing some profit
  • 14. 100 largest companies in the world ranked by revenue in 2014 ($ 476.86 476.29 468 400.67 390.25 373 270.61 245.91 235.87 234.1 216.57 211.77 171.6 170.91 168.2 0 100 200 300 400 500 600 Royal Dutch Shell Wal-Mart Stores Sinopec BP Exxon Mobil PetroChina Volkswagen Glencore Xstrata Total Toyota Motor Samsung Electronics Chevron Phillips 66 Apple E On Revenue in billion U.S. dollars Largest Businesses by Revenue (2014)
  • 15. Largest hotel companies in the world ranked by revenue in 2014 ($) 22.8 13.8 10.5 5.98 5.86 5.28 4.42 2.11 1.08 1.01 0.76 0 5 10 15 20 25 InterContinental Hotels Group (UK) Marriott International (US) Hilton Worldwide (US) Starwood Hotels & Resorts (US) Accor (France) Wyndham Hotel Group (US) Hyatt Hotels (US) Shangri-La Asia (Hong Kong, China) Home Inns (China) The Rezidor Hotel Group (Belgium) Choice Hotels International (US) Revenue in billion U.S. dollars Largest Hotel Chains by Revenue (2014) Marriott International and Starwood Hotels announced a merger in the autumn of 2015
  • 16. Google and Apple’s Revenue 37.5 42.9 65.2 108.2 156.5 170.9 182.8 21.8 23.7 29.3 37.9 50.18 59.83 66 0 20 40 60 80 100 120 140 160 180 200 2008 2009 2010 2011 2012 2013 2014 RevenueinbillionU.S.dollars Apple Google Growing Revenue for Google and Apple
  • 17. Google and Apple’s RevenueRevenue By Segment for Facebook 0 2000 4000 6000 8000 10000 12000 14000 2009 2010 2011 2012 2013 2014 RevenueinmillionU.S.dollars Advertising revenue Payments and other fees revenue
  • 18. Google and Apple’s RevenueAncillary Revenues - Airlines 38.7% 33.7% 32.4% 28.5% 24.6% 21.8% 20.8% 20.7% 20% 19.5% 0.0% 5.0% 10.0% 15.0% 20.0% 25.0% 30.0% 35.0% 40.0% 45.0% Spirit Wizz Air Allegiant Jet2.com Ryanair TigerAir Jetstar Flybe Air Asia X Volaris Ancillary revenue as a share of total Many airlines generate ancillary revenues besides the ticket price – including baggage fees, priority boarding charges and revenues from on-board sales
  • 19. Google and Apple’s RevenueSeasonal Revenues • Seasonality refers to fluctuations in output and sales revenue related to the seasonal of the year. • For most products there will be seasonal peaks and troughs in production and/or sales • Demand for slippers peaks in the run up to Christmas • Demand for plants at garden centres is linked to the planting season • There is high demand for decorating materials before the Easter weekend • High street retailers such as jewelry companies may sell as much as 80- 90% of their products over Xmas • Theatres take a high % of their income during pantomime season Easter chocolate Summer fruits Winter clothing Ski season products Some examples of seasonal demand
  • 20. Revenue Curves in Competitive Markets • In a perfectly competitive market, total revenue (TR) is a diagonal straight line passing through the origin • Market demand and supply determine the price and each firm is a price taker • Thus, average revenue is constant • Thus, average revenue – marginal revenue at the prevailing market price
  • 21. Average, Marginal and Total Revenue Price, Cost Output Total Revenue Output Market Supply and Demand Total Revenue D S Price = £3 Total Revenue
  • 22. TR when there is a rise in market price Price, Cost Output Total Revenue Output Market Supply and Demand Total Revenue D1 S Price = £3 TR1 D2 Price = £4 TR2 A rise in market price leads to an increase in the gradient of the total revenue curve
  • 23. TR when there is a fall in market price Price, Cost Output Total Revenue Output Market Supply and Demand Total Revenue D1 S Price = £3 TR1 D2 Price = £4 TR2 Price = £2 D3 TR3 A fall in market price leads to a reduction in the gradient of the total revenue curve
  • 24. Google and Apple’s RevenuePrice Takers and Price Makers Price Output Price Output AR = MR AR MR Price takers accept the ruling market price and sell each unit at the same price. AR=MR Price makers have some pricing power and will face a downward sloping AR curve Price makers are found in imperfectly competitive markets such as Monopoly & Oligopoly
  • 25. How can we calculate revenue of a firm? Topic 3.3.3