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Entrepreneurial Economics
A supplemental lecture on BMA5001
Organized by NUS MBA Entrepreneurship Club
29th September, 201...
Ryo’s Part
• Competitive Market
• In the short run
• In the long run
• Individual company and market
• Monopoly
Competitive Market
in the Short Run
Perfect Competition
• Firms are price taker
• Firms have no power to
decide the price to sell.
• Both buyers and sellers
h...
Competitive market
𝑃
𝑞
𝑞 𝑞 + 1
𝑃1
𝐴 𝐵
Demand curve = uniform price in every quantity.
Consumers in perfect Competitive mar...
Short-run
What is Short-run?
In short run,
- no entry, no exit
- k(capital) = fixed. (You cannot build new plants)
So, com...
Company aims maximize their profit.
What is Economic profit(𝜋)?
Profit is Total Revenue – Total (opportunity) Cost
𝜋 𝑞 = 𝑇...
Before draw graph….
You can download worksheet here
https://www.dropbox.com/s/ydlnvacb2kchxve/170925_Entrepreneurial
%20Ec...
Before draw graph….
• 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑞
• 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 =
𝜕𝑇𝑅
𝜕𝑞
= 𝑃 in competitive market
• TC(𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡) ...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
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450
500
0
0.5
1
1.5
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...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
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Marginal – the key concept of economics.
Δ𝑋
Δ𝑞
, 𝑜𝑟
𝜕𝑋
𝜕𝑞
𝑋
𝑞
𝑞 𝑞 + 1
Δ𝑞
𝑋(𝑞)
𝑋(𝑞 + 1)
Δ𝑋
If I change quantity, how X chan...
Why Marginal is important?
𝑀𝐶 < 𝑀𝑅
We can decide change quantity or not.
If 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 < 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒,
We should pr...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
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2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
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2.5
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...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
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2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
1.5
2
2.5
3
...
𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2
+ 𝑞3
0
50
100
150
200
250
300
350
400
450
500
0
0.5
1
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2.5
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Check every equation:
For 𝑃(𝑃𝑟𝑖𝑐𝑒) = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3
• 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑞 = 50...
Download and Check Excel
• https://www.dropbox.com/s/7w91ks1jiyvrprz/eshipVC3%20-
%20forhandout.xlsx?dl=0
• Sheet Competit...
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Imagine, suddenly the price drops 𝑃 = $26.
(1) How many you should produce?
𝑀𝐶 = 𝑃, so 50 − 22𝑞 + 3𝑞2 = 26 ↔ 𝒒 = 𝟔
(2) Wha...
Imagine, suddenly the price drops 𝑃 = $26.
(1) How many you should produce?
𝑀𝐶 = 𝑃, so 50 − 22𝑞 + 3𝑞2 = 26 ↔ 𝒒 = 𝟔
(2) Wha...
Individual firm and market supply
Q=1 Q=2 Q=3 Q=4
David 40 50 80 100
Joe - 40 50 80
Imagine, there are only two producers ...
𝑃
$100
80
50
40
1 2 3 4
𝑞
Individual firm and market supply
MC Q=1 Q=2 Q=3 Q=4
David 40 50 80 100
Joe - 40 50 80
Imagine, ...
𝑃
$100
80
50
40
1 2 3 4
𝑞
Individual firm and market supply
Q=1 Q=2 Q=3 Q=4
David 40 50 80 100
Joe - 40 50 80
Imagine, the...
Exercise
Let’s draw graph: AVC, ATC, MC when 𝐹𝐶 = 10, 𝑉𝐶 = 0.75𝑞2
Average Variable Cost, Average Total Cost, and Marginal Cost.
0
1...
When 𝐹𝐶 = 10, 𝑉𝐶 = 0.75𝑞2
0
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20
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7...
Let’s write down graph: AVC, ATC, MC when
𝐹𝐶 = 10, 𝑉𝐶 = 4𝑞 − 𝑞2
+ 0.1𝑞3
0
1
2
3
4
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0 0.5 1 1...
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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12...
Competitive Market
in the Long Run
Short Run: Shut down condition
𝑃𝑟𝑖𝑐𝑒 < 𝐴𝑉𝐶(𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡)
Long Run: Shut down condition
𝑃𝑟𝑖𝑐𝑒 < 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝐶𝑜𝑠𝑡
Becau...
Long Run: There are entry and exit
In competitive market, in the long run,
it drives profit to zero.
Cite: https://courses...
Long Run: There are entry and exit
In competitive market, in the long run,
it drives profit to zero.
Cite: https://courses...
Short Run Cost VS Long Run Cost
In the short run, your Average Total Cost is like this:
Heavy fixed cost Over Capacity
- O...
Short Run Cost VS Long Run Cost
In the Long run, your firm could build new plant
Because you could use Capital(K)
Huge pla...
Short Run Cost VS Long Run Cost
If we made 3 plants in the long run, our cost curve is
Yellow dotted line.
Short Run Cost VS Long Run Cost
But in the long run, managers could decide build a plant with target
quantity in every K(c...
Monopoly
Monopolistic Market
• Government sometimes allows monopoly
to infrastructure companies.
• Ex: Electric Power Company, Tele...
Monopolistic Market
The firm is price maker, but they are not almighty.
Because consumers could react. If you set $100 for...
Competitive market VS Monopolistic Market
𝑃
𝑞
𝑞 𝑞 + 1
𝑃1
𝐴 𝐵
Demand curve
Consumers in Competitive market is
Perfect price...
Monopolistic Market Example
• Demand Curve is 𝑄 𝐷 𝑃 = 20 − 𝑃
(1)What is MR for monopolist?
(2)Draw MR and Demand Curve
𝑃
𝑄...
Monopolistic Market Example
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄
↔ 𝑃 = 20 − 𝑄
• 𝑇𝑅 = 𝑃𝑄
• 𝑀𝑅 =
𝜕𝑃𝑄
𝜕𝑄
you can rewrite it i...
[advanced] Monopolistic and competitive
• 𝑀𝑅 =
𝜕𝑃𝑄
𝜕𝑄
you can rewrite it if you like: (= 𝑃 + 𝑄
𝜕𝑃
𝜕𝑄
)
• 𝑀𝑅 =
𝜕𝑃𝑄
𝜕𝑄
= 𝑃 +...
[advanced] Monopolistic and competitive
• In addition to that, we know
Elasticity 𝑒 =
Δ𝑄/𝑄
Δ𝑃/𝑃
=
P
Q
ΔQ
ΔP
So, transform ...
Monopolistic Market
The firm is price maker, but they are not almighty.
Because consumers could react. If you set $100 for...
Monopolistic Market Example
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄
↔ 𝑃 = 20 − 𝑄
• We know
• 𝑀𝑅 =
𝜕𝑃𝑄
𝜕𝑄
=
𝜕(20𝑄−𝑄2)
𝜕𝑄
= 20 ...
Monopolistic Market Example
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄
↔ 𝑃 = 20 − 𝑄
• We know
• 𝑀𝑅 =
𝜕𝑃𝑄
𝜕𝑄
=
𝜕(20𝑄−𝑄2)
𝜕𝑄
= 20 ...
Monopolistic Market Example
We know
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄
and 𝑇𝐶 = 2 + 𝑄2
What is the Revenue, Cost, and Pr...
Monopolistic Market Example
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄
↔ 𝑃 = 20 − 𝑄
• 𝑇𝑅 = 𝑃𝑄 = 20𝑄 − 𝑄2
• TC = 2 + 𝑄2
𝑃
𝑄
20
De...
Exercise
Monopolistic Market Example 2
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 24 − 𝑄
• Cost Function is: TC = 12 + 𝑄2
1. A monopolist will s...
Monopolistic Market Example 2
• Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 24 − 𝑄
• Cost Function is: TC = 12 + 𝑄2
1. A monopolist will s...
Monopolistic Market Example 2
Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸
Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐
• 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒...
Monopolistic Market Example 2
Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸
Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐
• 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒...
Monopolistic Market Example 2
Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸
Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐
• 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒...
Monopolistic Market Example 2
Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸
Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐
• 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒...
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AVC ATC Demand MR MC
Monopolistic Mark...
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
AVC ATC Demand MR MC
Monopolistic Mark...
Download and Check Excel
• https://www.dropbox.com/s/7w91ks1jiyvrprz/eshipVC3%20-
%20forhandout.xlsx?dl=0
(same excel as b...
Problem solving procedure.
For Competitive Market For Monopoly Market
Step1: Find out optimal quantity, which means find 𝑞...
If you want to know more, check Entrepreneurial Economics #1
• https://www.slideshare.net/ryouen/170902-entrepreneurial-
e...
Reference
NUS MBA BMA5001 Lecture Note 3, 6, 7
Principles of Microeconomics (Mankiw's Principles of Economics)
MITx: 14.10...
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170925 entrepreneurial economics2

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In this slides deck, you will understand
Competitive Market and Monopoly.
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170925 entrepreneurial economics2

  1. 1. Entrepreneurial Economics A supplemental lecture on BMA5001 Organized by NUS MBA Entrepreneurship Club 29th September, 2017 2
  2. 2. Ryo’s Part • Competitive Market • In the short run • In the long run • Individual company and market • Monopoly
  3. 3. Competitive Market in the Short Run
  4. 4. Perfect Competition • Firms are price taker • Firms have no power to decide the price to sell. • Both buyers and sellers have complete information about price, costs,… • Firms are selling identical(homogeneous) products.
  5. 5. Competitive market 𝑃 𝑞 𝑞 𝑞 + 1 𝑃1 𝐴 𝐵 Demand curve = uniform price in every quantity. Consumers in perfect Competitive market is Perfect price elastic. Because if you charge $1 more, No one buy from you.
  6. 6. Short-run What is Short-run? In short run, - no entry, no exit - k(capital) = fixed. (You cannot build new plants) So, companies could change only quantity 𝑞 (We use 𝑞 as individual firm and 𝑄 for market)
  7. 7. Company aims maximize their profit. What is Economic profit(𝜋)? Profit is Total Revenue – Total (opportunity) Cost 𝜋 𝑞 = 𝑇𝑅 𝑞 − 𝑇𝐶 𝑞 In Economics, cost is excluding sunk cost (sunk cost do not always equals to fixed cost) Total Revenue is Price × quantity, so: 𝑇𝑅 𝑞 = 𝑃𝑞 Do you draw “Revenue” graph properly?
  8. 8. Before draw graph…. You can download worksheet here https://www.dropbox.com/s/ydlnvacb2kchxve/170925_Entrepreneurial %20Economics2_final%20-%20Worksheet.pdf?dl=0 • 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑞 • 𝑀𝑅(𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = • 𝑇𝐶(𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡) = • 𝑀𝐶(𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡) = • 𝜋(𝑃𝑟𝑜𝑓𝑖𝑡) = • 𝐴𝑇𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 = • 𝐴𝑉𝐶(𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡) = Worksheet 1
  9. 9. Before draw graph…. • 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑞 • 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝜕𝑇𝑅 𝜕𝑞 = 𝑃 in competitive market • TC(𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡) = 𝐹𝐶(𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡) + 𝑉𝐶(𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡) • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑞 • 𝜋 𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 • 𝐴𝑇𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝑇𝐶 𝑞 • 𝐴𝑉𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡 = 𝑉𝐶 𝑞 I will explain it later, graphically and mathematically.
  10. 10. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Worksheet 2
  11. 11. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃𝑟𝑖𝑐𝑒 × 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑦 = 50𝑞 𝑞
  12. 12. Marginal – the key concept of economics. Δ𝑋 Δ𝑞 , 𝑜𝑟 𝜕𝑋 𝜕𝑞 𝑋 𝑞 𝑞 𝑞 + 1 Δ𝑞 𝑋(𝑞) 𝑋(𝑞 + 1) Δ𝑋 If I change quantity, how X changes?
  13. 13. Why Marginal is important? 𝑀𝐶 < 𝑀𝑅 We can decide change quantity or not. If 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 < 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒, We should produce more. While 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 > 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒, We shouldn’t produce more. So, in general, when MC = MR, 𝜋 𝑚𝑎𝑥 Do you draw “MR” graph? 𝑀𝐶 > 𝑀𝑅
  14. 14. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue MR 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝜕𝑇𝑅 𝜕𝑞 = 𝜕(𝑃 × 𝑞) 𝜕𝑞 = 𝑃𝑟𝑖𝑐𝑒 𝑀𝑅 = 𝑡𝑎𝑛𝑔𝑒𝑛𝑡 𝑜𝑓 𝑇𝑅 𝑞 In Competitive Market, firms are price taker So, 𝑀𝑅 = 𝑃𝑟𝑖𝑐𝑒. Which means, consumers are perfectly price elastic( 𝒆 = ∞). Why? If you charge $1 more in competitive market, Consumers buy things from another firm. Remember Amazon Market Place. Remember, Marginal is: if I change quantity, how X is changed. So, if you sell +1, you got +P revenue.
  15. 15. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost MR Profit Do you draw “Total Cost” and “MC (Marginal Cost)” graph properly?
  16. 16. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 TotalCost TotalCost = 𝐹𝐶 + 𝑉𝐶 = 100 + 50𝑞 − 11𝑞2 + 𝑞3 𝑞
  17. 17. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 TotalCost MC 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶ost = 𝜕𝑇𝐶 𝜕𝑞 = 50 − 22𝑞 + 3𝑞2 MC = Tangent of Total Cost 𝑞 Next, Profit graph!
  18. 18. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost Profit 𝑃𝑟𝑜𝑓𝑖𝑡: 𝜋(𝑞) = 𝑇𝑅 − 𝑇𝐶 = 𝑃𝑞 − 100 + 50𝑞 − 11𝑞2 + 𝑞3 = −100 + 11𝑞2 − 𝑞3 𝑞
  19. 19. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost Profit 𝑃𝑟𝑜𝑓𝑖𝑡: 𝜋(𝑞) = 𝑇𝑅 − 𝑇𝐶 = 𝑃𝑞 − 100 + 50𝑞 − 11𝑞2 + 𝑞3 = −100 + 11𝑞2 − 𝑞3 At Point A and C, 𝜋(𝑞) = 0 At Point B 𝜋(𝑞) = 𝑀𝐴𝑋 A C B
  20. 20. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost Profit 𝑃𝑟𝑜𝑓𝑖𝑡: 𝜋(𝑞) = 𝑇𝑅 − 𝑇𝐶 = 𝑃𝑞 − 100 + 50𝑞 − 11𝑞2 + 𝑞3 = −100 + 11𝑞2 − 𝑞3 B This Point B is exactly same as…
  21. 21. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 MC MR B 𝑀𝐶(𝑞 𝐵) = 𝑀𝑅 (= 𝑃𝑟𝑖𝑐𝑒) 50 − 22𝑞 + 3𝑞2 = 50 𝑞 = 22 3 This Point B is exactly same as…
  22. 22. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost MC MR Profit B 𝑀𝐶(𝑞 𝐵) = 𝑀𝑅 (= 𝑃𝑟𝑖𝑐𝑒) 50 − 22𝑞 + 3𝑞2 = 50 𝑞 = 22 3 This Point B is exactly same as…
  23. 23. 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost MC MR Profit B These are mathematically same: 1) 𝜋(𝑞) = 𝑇𝑅 − 𝑇𝐶 When 𝜋 𝑞 = 𝑚𝑎𝑥, 𝜕𝜋 𝑞 𝜕𝑞 = 0 2)Profit is max when 𝜕𝑇𝑅 𝜕𝑞 = 𝜕𝑇𝐶 𝜕𝑞 ↔ 𝑀𝑅 = 𝑀𝐶 The latter is simpler because We know MR = Price. 𝑀𝐶(𝑞 𝐵) = 𝑀𝑅 (= 𝑃𝑟𝑖𝑐𝑒)
  24. 24. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 AVC ATC 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 ATC(Average Total Cost) = 𝑇𝐶 𝑞 = 50 − 11𝑞 + 𝑞2 + 100 𝑞 AVC(Average Variable Cost) = 𝑉𝐶 𝑞 = 50 − 11𝑞 + 𝑞2
  25. 25. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 ATC MC 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 ATC is MIN Where ATC = MC
  26. 26. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 AVC MC 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 AVC is MIN Where AVC = MC
  27. 27. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 MIN AVC and MIN ATC is not MC=MR(=P) In general.
  28. 28. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 If the company seek maximum profit, Where is revenue? Where is profit? Worksheet 3 𝑅 𝑇𝐶 𝑉𝐶 𝑀𝐶 𝐴𝑇𝐶 𝐴𝑉𝐶
  29. 29. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Step1: Find 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 𝑞 𝑜𝑝𝑡
  30. 30. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Step1: Find 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 Step2: This 𝑇𝑅(𝑞 𝑜𝑝𝑡) or The area 𝑃 × 𝑞 𝑜𝑝𝑡 is a Revenue 𝑞 𝑜𝑝𝑡 𝑇𝑅(𝑞 𝑜𝑝𝑡) 𝑞 = 22 3 𝑇𝑅 = 𝑃𝑞 = 1100 3
  31. 31. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Step1: Find 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 Step2: This T𝑅(𝑞 𝑜𝑝𝑡) or The area 𝑃 × 𝑞 𝑜𝑝𝑡 is a Revenue Step3: Total Cost is 𝑇𝐶(𝑞 𝑜𝑝𝑡) Or The area 𝐴𝑇𝐶(𝑞 𝑜𝑝𝑡) × 𝑞 𝑜𝑝𝑡 𝑞 𝑜𝑝𝑡 𝑇𝑅(𝑞 𝑜𝑝𝑡) 𝑇𝐶(𝑞 𝑜𝑝𝑡)
  32. 32. 0 50 100 150 200 250 300 350 400 450 500 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 Revenue TotalCost VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Step1: Find 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 Step2: This 𝑇𝑅(𝑞 𝑜𝑝𝑡) or The area 𝑃 × 𝑞 𝑜𝑝𝑡 is a Revenue Step3: Total Cost is 𝑇𝐶(𝑞 𝑜𝑝𝑡) Or The area 𝐴𝑇𝐶 × 𝑞 𝑜𝑝𝑡 Step4: The profit is 𝑇𝑅 − 𝑇𝐶 Or The Area (𝑃 − 𝐴𝑇𝐶(𝑞 𝑜𝑝𝑡)) × 𝑞 𝑜𝑝𝑡 𝑞 𝑜𝑝𝑡 𝑇𝑅(𝑞 𝑜𝑝𝑡) 𝑇𝐶(𝑞 𝑜𝑝𝑡) profit
  33. 33. 0 50 100 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 VC AVC ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Pick up: 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 The area 𝑃 × 𝑞 𝑜𝑝𝑡 is a Total Revenue The area 𝐴𝑇𝐶 × 𝑞 𝑜𝑝𝑡 is a Cost The Area (𝑃 − 𝐴𝑇𝐶(𝑞 𝑜𝑝𝑡)) × 𝑞 𝑜𝑝𝑡 Is a Profit 𝑞 𝑜𝑝𝑡 For explanation purpose, I changed the scale of P-axis 𝐶𝑜𝑠𝑡 = 𝐴𝑇𝐶(𝑞 𝑜𝑝𝑡) × 𝑞 𝑜𝑝𝑡 𝑃𝑟𝑜𝑓𝑖𝑡
  34. 34. 0 50 100 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 ATC MC MR 𝑃𝑟𝑖𝑐𝑒 = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 𝑞 𝑜𝑝𝑡 Pick up: 𝑀𝐶 𝑞 𝑜𝑝𝑡 = 𝑀𝑅 The area 𝑃 × 𝑞 𝑜𝑝𝑡 is a Total Revenue The area 𝐴𝑇𝐶 × 𝑞 𝑜𝑝𝑡 is a Cost The Area (𝑃 − 𝐴𝑇𝐶(𝑞 𝑜𝑝𝑡)) × 𝑞 𝑜𝑝𝑡 Is a Profit We only need these 3 curves.
  35. 35. Check every equation: For 𝑃(𝑃𝑟𝑖𝑐𝑒) = 50, 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 • 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑞 = 50𝑞 • 𝑀𝑅(𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 • TC(𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡) = 𝐹𝐶 + 𝑉𝐶 = 100 + 50𝑞 − 11𝑞2 + 𝑞3 • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑞 = 50 − 22𝑞 + 3𝑞2 • 𝜋 𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 = −100 + 11𝑞2 − 𝑞3 • 𝐴𝑇𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝑇𝐶 𝑞 = 100 𝑞 + 50 − 11𝑞 + 𝑞2 • 𝐴𝑉𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡 = 𝑉𝐶 𝑞 = 50 − 11𝑞 + 𝑞2
  36. 36. Download and Check Excel • https://www.dropbox.com/s/7w91ks1jiyvrprz/eshipVC3%20- %20forhandout.xlsx?dl=0 • Sheet Competitive Market • In group 3-5 ppl, let’s share your finding in 3-5min.
  37. 37. 0 50 100 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 VC AVC ATC MC 𝑆ℎ𝑢𝑡𝑑𝑜𝑤𝑛 𝑅𝑢𝑙𝑒 I𝐟 𝑃 < 𝐴𝑉𝐶, Company couldn’t Make profit nor Reduce loss of FC. So, shutdown. So, where is the firm’s Supply curve? 𝑞 𝑜𝑝𝑡
  38. 38. 0 50 100 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 VC AVC ATC MC 𝑆ℎ𝑢𝑡𝑑𝑜𝑤𝑛 𝑅𝑢𝑙𝑒 I𝐟 𝑃 < 𝐴𝑉𝐶, Company couldn’t Make profit nor Reduce loss of FC. So, shutdown. So, where is the firm’s Supply curve? Here! Because MC=Price. 𝑞 𝑜𝑝𝑡
  39. 39. 0 50 100 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 15.5 16 16.5 17 17.5 18 18.5 19 19.5 20 VC AVC ATC MC Imagine, suddenly the price drops 𝑃 = $26 (1)How many you should produce? (2)What is your revenue? (3)What is your profit? (4)Should you shut down? (5)if you compare the profit with 𝑞 = 0,5, 𝑎𝑛𝑑 7 what do you think? 𝑞 𝑜𝑝𝑡 𝐹𝑖𝑥𝑒𝑑 𝐶𝑜𝑠𝑡 = 100, 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒𝐶𝑜𝑠𝑡 = 50𝑞 − 11𝑞2 + 𝑞3 Worksheet 4
  40. 40. Imagine, suddenly the price drops 𝑃 = $26. (1) How many you should produce? 𝑀𝐶 = 𝑃, so 50 − 22𝑞 + 3𝑞2 = 26 ↔ 𝒒 = 𝟔 (2) What is your revenue? 𝑇𝑅 = 𝑃 × 𝑞 = $26 × 6 = $𝟏𝟓6 (3) What is your profit? 𝜋 = 𝑇𝑅 − 𝑇𝐶 = $156 − 100 + 50𝑞 − 11𝑞2 + 𝑞3 = $156 − $220 = −$𝟔𝟒 You lose money. (4)Should you shut down? No. because 𝐴𝑉𝐶(𝑞 = 6) = 50 − 11𝑞 + 𝑞2 = $20 and 𝑃 = $26 > 𝐴𝑉𝐶(𝑞 = 6) (5) if you compare the profit with 𝑞 = 0 and 𝑞 = 5,7 what do you think?
  41. 41. Imagine, suddenly the price drops 𝑃 = $26. (1) How many you should produce? 𝑀𝐶 = 𝑃, so 50 − 22𝑞 + 3𝑞2 = 26 ↔ 𝒒 = 𝟔 (2) What is your revenue? 𝑇𝑅 = 𝑃 × 𝑞 = $26 × 6 = $𝟏𝟓6 (3) What is your profit? 𝜋 = 𝑇𝑅 − 𝑇𝐶 = $156 − 100 + 50𝑞 − 11𝑞2 + 𝑞3 = $156 − $220 = −$𝟔𝟒 You lose money. (4)Should you shut down? No. because 𝐴𝑉𝐶(𝑞 = 6) = 50 − 11𝑞 + 𝑞2 = $20 and 𝑃 = $26 > 𝐴𝑉𝐶(𝑞 = 6) (5) if you compare the profit with 𝑞 = 0 and 𝑞 = 5 what do you think? If 𝑞 = 0, T𝑅 = $26 × 0 = 0, so 𝜋 = 𝑇𝑅 − 𝑇𝐶 = 0 − 𝑇𝐶 = −$𝟏𝟎𝟎 If 𝑞 = 5, T𝑅 = $26 × 5 = 130, so 𝜋 = 𝑇𝑅 − 𝑇𝐶 = 130 − (100 + 50𝑞 − 11𝑞2 + 𝑞3 ) = −$𝟕𝟎 If 𝑞 = 7, T𝑅 = $26 × 7 = 182, so 𝜋 = 𝑇𝑅 − 𝑇𝐶 = 182 − (100 + 50𝑞 − 11𝑞2 + 𝑞3) = −$𝟕𝟐 So, if we produce 𝑞 = 6, we lose money $64, But this is still better off than other quantity. This is why we should not shut down if 𝑷 > 𝑨𝑽𝑪(𝒔𝒉𝒖𝒕𝒅𝒐𝒘𝒏 𝒓𝒖𝒍𝒆) 𝒃𝒆𝒕𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 𝒅𝒐 𝒏𝒐𝒕𝒉𝒊𝒏𝒈!
  42. 42. Individual firm and market supply Q=1 Q=2 Q=3 Q=4 David 40 50 80 100 Joe - 40 50 80 Imagine, there are only two producers in the world. And they could produce following Marginal Cost(=individual supply curve) Could you draw a individual supply curve? 𝑄 𝑃 $100 80 50 40 1 2 3 4 5 6 7 8 𝑃 $100 80 50 40 1 2 3 4 𝑞 individual Worksheet 5
  43. 43. 𝑃 $100 80 50 40 1 2 3 4 𝑞 Individual firm and market supply MC Q=1 Q=2 Q=3 Q=4 David 40 50 80 100 Joe - 40 50 80 Imagine, there are only two producers in the world. And they could produce following Marginal Cost(=individual supply curve) Could you draw a Market supply curve? 𝑄 𝑃 $100 80 50 40 1 2 3 4 5 6 7 8 Market individual
  44. 44. 𝑃 $100 80 50 40 1 2 3 4 𝑞 Individual firm and market supply Q=1 Q=2 Q=3 Q=4 David 40 50 80 100 Joe - 40 50 80 Imagine, there are only two producers in the world. And they could produce following Marginal Cost(=individual supply curve) Could you draw a Market supply curve? 𝑄 𝑃 $100 80 50 40 1 2 3 4 5 6 7 8 1 + 2 = 3 3 + 4 = 7 2 + 3 = 5 Market Just horizontal (where same price) sum over the quantity!
  45. 45. Exercise
  46. 46. Let’s draw graph: AVC, ATC, MC when 𝐹𝐶 = 10, 𝑉𝐶 = 0.75𝑞2 Average Variable Cost, Average Total Cost, and Marginal Cost. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 𝐴𝑇𝐶 = 𝑇𝐶 𝑞 𝑀𝐶 = 𝜕𝐶 𝜕𝑞 𝐴𝑉𝐶 = 𝑉𝐶 𝑞 Ex1
  47. 47. When 𝐹𝐶 = 10, 𝑉𝐶 = 0.75𝑞2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 AVC ATC MC 𝐴𝑇𝐶 = 𝐹𝐶 + 𝑉𝐶 𝑞 = 10 𝑞 + 0.75𝑞 𝑀𝐶 = 𝜕𝐶 𝜕𝑞 = 1.5𝑞 𝐴𝑉𝐶 = 𝑉𝐶 𝑞 = 0.75𝑞 Ex1
  48. 48. Let’s write down graph: AVC, ATC, MC when 𝐹𝐶 = 10, 𝑉𝐶 = 4𝑞 − 𝑞2 + 0.1𝑞3 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 𝐴𝑇𝐶 = 𝑇𝐶 𝑞 𝑀𝐶 = 𝜕𝐶 𝜕𝑞 𝐴𝑉𝐶 = 𝑉𝐶 𝑞 Ex2
  49. 49. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 10.5 11 11.5 12 12.5 13 13.5 14 14.5 15 AVC ATC MC 𝐴𝑇𝐶 = 𝐹𝐶 + 𝑉𝐶 𝑞 = 10 𝑞 + 4 − 𝑞 + 0.1𝑞2 𝑀𝐶 = 𝜕𝐶 𝜕𝑞 = 4 − 2𝑞 + 0.3𝑞3 𝐴𝑉𝐶 = 𝑉𝐶 𝑞 = 4 − 𝑞 + 0.1𝑞2 Let’s write down graph: AVC, ATC, MC when 𝐹𝐶 = 10, 𝑉𝐶 = 4𝑞 − 𝑞2 + 0.1𝑞3 Ex2
  50. 50. Competitive Market in the Long Run
  51. 51. Short Run: Shut down condition 𝑃𝑟𝑖𝑐𝑒 < 𝐴𝑉𝐶(𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡) Long Run: Shut down condition 𝑃𝑟𝑖𝑐𝑒 < 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝐶𝑜𝑠𝑡 Because there are no fixed cost in the long run. (sell and buy fixed asset in the long run)
  52. 52. Long Run: There are entry and exit In competitive market, in the long run, it drives profit to zero. Cite: https://courses.edx.org/courses/course-v1:MITx+14.100x+3T2016/courseware/65ca1e8e024b4e0aae5d764b31942021/510230ecf173432786c678ab0591cf5d/?activate_block_id=block- v1%3AMITx%2B14.100x%2B3T2016%2Btype%40sequential%2Bblock%40510230ecf173432786c678ab0591cf5d If firms making profit, Another company will enter into the market in the long run. So the supply curve become flatten(𝑆𝑅1 → 𝑆𝑅2). The Price will decrease (𝑃1 → 𝑃2) And Individual firm lose quantity(𝑞1 → 𝑞2)
  53. 53. Long Run: There are entry and exit In competitive market, in the long run, it drives profit to zero. Cite: https://courses.edx.org/courses/course-v1:MITx+14.100x+3T2016/courseware/65ca1e8e024b4e0aae5d764b31942021/510230ecf173432786c678ab0591cf5d/?activate_block_id=block- v1%3AMITx%2B14.100x%2B3T2016%2Btype%40sequential%2Bblock%40510230ecf173432786c678ab0591cf5d 𝑆𝑅3 𝑄3𝑞3 𝜋3 = 0 More entry till the profit=0 This point is most efficient to produce because ATC is MIN.
  54. 54. Short Run Cost VS Long Run Cost In the short run, your Average Total Cost is like this: Heavy fixed cost Over Capacity - Overtime rate charge - Diminishing Productivity Your work is digging a hole. Your company has only 1 scoop. Due to high demand, your firm decide to hire +1 worker. But there are no scoop.
  55. 55. Short Run Cost VS Long Run Cost In the Long run, your firm could build new plant Because you could use Capital(K) Huge plant needs More cost at first. They are more productive. But still have limitation.
  56. 56. Short Run Cost VS Long Run Cost If we made 3 plants in the long run, our cost curve is Yellow dotted line.
  57. 57. Short Run Cost VS Long Run Cost But in the long run, managers could decide build a plant with target quantity in every K(capital) level. Which means there are infinite option. So the Yellow dotted line is LRMC. In general this is more efficient (low price same quantity) for firms than SRMC.
  58. 58. Monopoly
  59. 59. Monopolistic Market • Government sometimes allows monopoly to infrastructure companies. • Ex: Electric Power Company, Telecom Company, Post Office,… • Only one seller and many buyers. • No close substitutes • Barriers to entry • Monopolistic Company is Price Maker.
  60. 60. Monopolistic Market The firm is price maker, but they are not almighty. Because consumers could react. If you set $100 for an ordinal candy, no one want to buy it so company couldn’t make profit. • 𝜋 = 𝑇𝑅 − 𝑇𝐶 • 𝜕𝜋 𝜕𝑄 = 𝑀𝑅 − 𝑀𝐶 = 0 ⇒ 𝜋 𝑚𝑎𝑥 • This when 𝜋 𝑚𝑎𝑥 ⇒ 𝑀𝑅 = 𝑀𝐶 rule is still same as monopoly.
  61. 61. Competitive market VS Monopolistic Market 𝑃 𝑞 𝑞 𝑞 + 1 𝑃1 𝐴 𝐵 Demand curve Consumers in Competitive market is Perfect price elastic. So, 𝑀𝑅 = 𝑃1 (𝑞 + 1) − 𝑞 = 𝐵 𝑃 𝑄 Q 𝑄 + 1 𝑃1 𝐴 𝐵 Demand curve 𝐶 𝑃2 Consumers in Monopolistic market is moderate price elastic. So, 𝑀𝑅 = Δ𝑅 Δ𝑄 = (𝑃2 𝑄+1 −𝑃1 𝑄) 𝑄+1 −𝑄 = 𝐵 − 𝐶 So, monopolist lose revenue sometimes when they produce and sell more.
  62. 62. Monopolistic Market Example • Demand Curve is 𝑄 𝐷 𝑃 = 20 − 𝑃 (1)What is MR for monopolist? (2)Draw MR and Demand Curve 𝑃 𝑄 20 20 10 10 Worksheet 6
  63. 63. Monopolistic Market Example • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄 ↔ 𝑃 = 20 − 𝑄 • 𝑇𝑅 = 𝑃𝑄 • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 you can rewrite it if you like: (= 𝑃 + 𝑄 𝜕𝑃 𝜕𝑄 ) • here, we differentiate by Q. so, we would like to re-write TR by TR(Q) • 𝑇𝑅 = 𝑃𝑄 = 20 − 𝑄 × 𝑄 = 20𝑄 − 𝑄2 • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 = 𝜕(20𝑄−𝑄2) 𝜕𝑄 = 20 − 2𝑄 𝑃 𝑄 20 Demand curve 20 10 10 MR Worksheet 6
  64. 64. [advanced] Monopolistic and competitive • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 you can rewrite it if you like: (= 𝑃 + 𝑄 𝜕𝑃 𝜕𝑄 ) • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 = 𝑃 + 𝑄 𝜕𝑃 𝜕𝑄 If competitive market, This term is 0 So, 𝑀𝑅 = 𝑃 Worksheet 6
  65. 65. [advanced] Monopolistic and competitive • In addition to that, we know Elasticity 𝑒 = Δ𝑄/𝑄 Δ𝑃/𝑃 = P Q ΔQ ΔP So, transform MR to this form: • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 = 𝑃 + 𝑄 𝜕𝑃 𝜕𝑄 = 𝑃 + 𝑄 𝑃 𝑃 𝜕𝑃 𝜕𝑄 • = 𝑃 + 𝑃 𝑄 𝑃 𝜕𝑃 𝜕𝑄 • This is 1 𝑒 so, 𝑴𝑹 = 𝑷(𝟏 + 𝟏 𝒆 ) • And if 𝑒 ⇒ ∞(Competitive Market), 1 𝑒 ⇒ 0 𝑠𝑜 𝑀𝑅 ⇒ 𝑃
  66. 66. Monopolistic Market The firm is price maker, but they are not almighty. Because consumers could react. If you set $100 for an ordinal candy, no one want to buy it so company couldn’t make profit. • 𝜋 = 𝑇𝑅 − 𝑇𝐶 • 𝜕𝜋 𝜕𝑄 = 𝑀𝑅 − 𝑀𝐶 = 0 ⇒ 𝜋 𝑚𝑎𝑥 • 𝝅 𝒎𝒂𝒙 ⇒ 𝑴𝑹 = 𝑴𝑪 rule is still same as monopoly.
  67. 67. Monopolistic Market Example • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄 ↔ 𝑃 = 20 − 𝑄 • We know • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 = 𝜕(20𝑄−𝑄2) 𝜕𝑄 = 20 − 2𝑄 So, If Cost function is 𝐓𝐂 = 𝟐 + 𝑸 𝟐 • A monopolist will supply what quantity at what price? 𝑃 𝑄 20 Demand curve 20 10 10 MR Worksheet 6-2
  68. 68. Monopolistic Market Example • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄 ↔ 𝑃 = 20 − 𝑄 • We know • 𝑀𝑅 = 𝜕𝑃𝑄 𝜕𝑄 = 𝜕(20𝑄−𝑄2) 𝜕𝑄 = 20 − 2𝑄 • TC = 2 + 𝑄2 • MC= 𝜕𝑇𝐶 𝜕𝑄 = 2𝑄 • When MR=MC, that is 20 − 2𝑄=2𝑄 • 𝑄 = 5, 𝑃 = 20 − 𝑄 = 15 𝑃 𝑄 20 Demand curve 20 10 10 MR 𝑀𝐶 = 2𝑄 5 15
  69. 69. Monopolistic Market Example We know • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄 and 𝑇𝐶 = 2 + 𝑄2 What is the Revenue, Cost, and Profit? • If we produce Q=3,4,…7 How our Revenue /Profit Changes? • What is DWL(Deadweight Loss)? 𝑃 𝑄 20 Demand curve 20 10 10 MR 𝑀𝐶 = 2𝑄 5 15 Q TR TC 𝜋 3 4 5 6 7 Worksheet 6-3
  70. 70. Monopolistic Market Example • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 20 − 𝑄 ↔ 𝑃 = 20 − 𝑄 • 𝑇𝑅 = 𝑃𝑄 = 20𝑄 − 𝑄2 • TC = 2 + 𝑄2 𝑃 𝑄 20 Demand curve 20 10 10 MR 𝑀𝐶 = 2𝑄 5 15 Q TR TC 𝜋 3 51 11 40 4 64 18 46 5 75 27 48 6 84 38 46 7 91 51 40 Worksheet 6-3 𝐷𝑊𝐿
  71. 71. Exercise
  72. 72. Monopolistic Market Example 2 • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 24 − 𝑄 • Cost Function is: TC = 12 + 𝑄2 1. A monopolist will supply what quantity at what price? 2. Draw, Demand Curve, MR, MC 3. Then Draw AVC, ATC 4. Show on the graph, Revenue and Profit 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 AVC ATC Demand MR MC𝑃 𝑄 Worksheet 7
  73. 73. Monopolistic Market Example 2 • Demand Curve is 𝑄 𝐷 𝑃 : 𝑃 = 24 − 𝑄 • Cost Function is: TC = 12 + 𝑄2 1. A monopolist will supply what quantity at what price? 2. Draw, Demand Curve, MR, MC 3. Then Draw AVC, ATC 4. Show on the graph, Revenue and Profit HINT: • 𝑇𝑅(𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝑃 × 𝑄 • 𝑀𝑅(𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒) = 𝜕𝑇𝑅 𝜕𝑄 • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑄 • 𝜋 𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 • 𝐴𝑇𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝑇𝐶 𝑄 • 𝐴𝑉𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡 = 𝑉𝐶 𝑄 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 AVC ATC Demand MR MC Worksheet 7
  74. 74. Monopolistic Market Example 2 Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸 Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐 • 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝑃 × 𝑄 = 24𝑄 − 𝑄2 • 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝜕𝑇𝑅 𝜕𝑄 = 24 − 2𝑄 • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑄 = 2𝑄 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 AVC ATC Demand MR MC Worksheet 7
  75. 75. Monopolistic Market Example 2 Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸 Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐 • 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝑃 × 𝑄 = 24𝑄 − 𝑄2 • 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝜕𝑇𝑅 𝜕𝑄 = 24 − 2𝑄 • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑄 = 2𝑄 𝜋 𝑚𝑎𝑥 ⇒ 𝑀𝑅 = 𝑀𝐶 24 − 2𝑄 = 2𝑄 ↔ 𝑄 = 6 So, what’s next? How to figure out Price? Remember, monopolist is not almighty. The firm should respect Demand curve. 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Demand MR MC Worksheet 7
  76. 76. Monopolistic Market Example 2 Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸 Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐 • 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝑃 × 𝑄 = 24𝑄 − 𝑄2 • 𝑀𝑅 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝜕𝑇𝑅 𝜕𝑄 = 24 − 2𝑄 • 𝑀𝐶 𝑀𝑎𝑟𝑔𝑖𝑛𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝜕𝑇𝐶 𝜕𝑄 = 2𝑄 𝜋 𝑚𝑎𝑥 ⇒ 𝑀𝑅 = 𝑀𝐶 24 − 2𝑄 = 2𝑄 ↔ 𝑄 = 6 So, what’s next? How to figure out Price? Remember, monopolist is not almighty. The firm should respect Demand curve. So, Graphically, here is a price! Mathematically, assign Q=6 to Demand Curve 𝑷 = 𝟐𝟒 − 𝑸 so, 𝑃 = 18 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Demand MR MC here Worksheet 7
  77. 77. Monopolistic Market Example 2 Given, Demand Curve is 𝑸 𝑫 𝑷 : 𝑷 = 𝟐𝟒 − 𝑸 Cost Function is: 𝑻𝑪 = 𝟏𝟐 + 𝑸 𝟐 • 𝑇𝑅 𝑇𝑜𝑡𝑎𝑙 𝑅𝑒𝑣𝑒𝑛𝑢𝑒 = 𝑃 × 𝑄 = 24𝑄 − 𝑄2 • 𝑃 = 18, 𝑄 = 6 • 𝜋 𝑃𝑟𝑜𝑓𝑖𝑡 = 𝑇𝑅 − 𝑇𝐶 = 60 • 𝑇𝑅 = 144 − 36 = 108 • 𝑇𝐶 = 48 Next, ATC, AVC 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Demand MR MC 18 Worksheet 7
  78. 78. 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 AVC ATC Demand MR MC Monopolistic Market Example 2 Next, ATC 𝑇𝐶 = 12 + 𝑄2 • 𝐴𝑇𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑇𝑜𝑡𝑎𝑙 𝐶𝑜𝑠𝑡 = 𝑇𝐶 𝑄 = 12 𝑄 + 𝑄 • 𝐴𝑉𝐶 𝐴𝑣𝑒𝑟𝑎𝑔𝑒 𝑉𝑎𝑟𝑖𝑎𝑏𝑙𝑒 𝐶𝑜𝑠𝑡 = 𝑉𝐶 𝑄 = 𝑄 Next, Where is Revenue, Cost and Profit? 18 Variable Cost Fixed Cost Worksheet 7-2
  79. 79. 0 5 10 15 20 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 AVC ATC Demand MR MC Monopolistic Market Example 2 𝑃 = 1818 𝑇𝑅 = 𝑃 × 𝑄 = 18 × 6 = 108 𝑇C = ATC × 𝑄 = 8 × 6 = 48 𝑄 Rest of them are profit. You can simulate on excel. Worksheet 7-2 𝐴𝑇𝐶 = 𝑇𝐶 𝑄 = 12 𝑄 + 𝑄 𝑎𝑠𝑠𝑖𝑔𝑛 𝑄 = 6
  80. 80. Download and Check Excel • https://www.dropbox.com/s/7w91ks1jiyvrprz/eshipVC3%20- %20forhandout.xlsx?dl=0 (same excel as before) • Sheet Monopoly • In group 3-5 ppl, let’s share your finding in 3-5min.
  81. 81. Problem solving procedure. For Competitive Market For Monopoly Market Step1: Find out optimal quantity, which means find 𝑞 𝑜𝑝𝑡 where profit 𝜋 𝑞 𝑜𝑝𝑡 = 𝑚𝑎𝑥. • 𝑞 𝑜𝑝𝑡 is where Marginal Revenue equals to Marginal Cost. Which is 𝑀𝑅 = 𝑀𝐶 • 𝑀𝐶 = 𝜕𝑇𝐶 𝜕𝑞 = 𝜕𝑉𝐶 𝜕𝑞 , where TC=Total Cost, VC=Variable Cost. 𝑀𝑅 = 𝑃(price) To know 𝑀𝑅 = 𝜕𝑇𝑅 𝜕𝑄 , We should calculate T𝑅 = 𝑃 × Q We know Demand Curve 𝑃 𝑄 = 𝒂 − 𝒃𝑸 (or 𝑄2 or something) To differentiate by 𝑄, we use 𝒂 − 𝒃𝑸 as 𝑃 to earn TR. So T𝑅 = 𝑃 × Q = 𝒂 − 𝒃𝑸 × 𝑄 = 𝑎𝑄 − 𝑏𝑄2, so we’ll have MR. Solve 𝑀𝑅 = 𝑀𝐶, we got optimal 𝑄 𝑜𝑝𝑡 Step2: Find out optimal Total Revenue(TR), Total Cost(TC), and Profit (𝜋). First of all, we need Price 𝑃. We already know Price 𝑃 Find out 𝑃𝑜𝑝𝑡 using Demand Curve. Assign 𝑄 𝑜𝑝𝑡 to 𝑃 𝑄 = 𝒂 − 𝒃𝑸, we got 𝑃𝑜𝑝𝑡 Using 𝑇𝑅 𝑜𝑝𝑡 = 𝑃𝑜𝑝𝑡 × Qopt, 𝑇𝐶 𝑜𝑝𝑡 = 𝑇𝐶(Qopt), we get TR and TC. To know TC, we could use Average Total Cost 𝐴𝑇𝐶. 𝐴𝑇𝐶 𝑄 𝑜𝑝𝑡 × 𝑄 𝑜𝑝𝑡 = 𝑇𝐶 𝑜𝑝𝑡 𝜋 𝑞 𝑜𝑝𝑡 = 𝑇𝑅 𝑜𝑝𝑡 − 𝑇𝐶 𝑜𝑝𝑡.
  82. 82. If you want to know more, check Entrepreneurial Economics #1 • https://www.slideshare.net/ryouen/170902-entrepreneurial- economics-v4-80086316 • Covered: • Price Elasticity • Demand / Supply curve shift • Welfare and Deadweight Loss • Marginal Rate of Substitute and indifference curve
  83. 83. Reference NUS MBA BMA5001 Lecture Note 3, 6, 7 Principles of Microeconomics (Mankiw's Principles of Economics) MITx: 14.100x Microeconomics https://en.wikiquote.org/wiki/Greg_Mankiw#Ch._1._Ten_Principles_of_Economics Amazon.com
  84. 84. Thank you !!

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