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Analysis of Monopolist Pricing Strategies in Microeconomics | Microeconomics | Trường Đại học Quốc tế, Đại học Quốc gia Thành phố Hồ Chí Minh

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The monopolist will produce 6 quatities. Because by producing 6 quantities, the monopolist will maximize their profit. To maximize their profit, MC ≈ MR which is at the time when the monopolistproduce 6 quantities. The monopolist will charge at the price of 5.5 $. Tài liệu được sưu tầm và soạn thảo dưới dạng file PDF để gửi tới các bạn cùng tham khảo, ôn tập đầy đủ kiến thức, chuẩn bị cho các buổi học thật tốt. Mời bạn đọc đón xem!

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Microeconomics
ASSIGNMENT 8
Group 8 – EBBA 13.2
Nguyen Khanh Hang
Truong Van Phuc
Tran Quynh Chi
Le Phuc Anh Tuan
Problem 1. following table shows the demand & cost data a monopolist: The for
a.
Quantity
Price ($)
Total
revenu
e ($)
Margin
al
revenu
e ($)
Total
cost
($)
Aver
age
total
cost
($)
Mar
ginal
cost
($)
0
8.5
0
-
5
-
-
1
8.0
8.0
8.0
9
9.0
4.0
2
7.5
15.0
7.0
11.5
5.75
2.5
3
7.0
21.0
6.0
12.5
4.17
1.0
4
6.5
26.0
5.0
13.5
3.375
1.0
5
6.0
30.0
4.0
14.0
2.8
0.5
6
5.5
33.0
3.0
16.0
2.67
2.0
7
5.0
35.0
2.0
20.0
2.86
4.0
8
4.5
36.0
1.0
25.0
3.125
5.0
9
4.0
36.0
0
32.0
3.56
7.0
10
3.5
35.0
-1
40.0
4.0
8.0
The monopolist will produce 6 quatities. Because by producing 6 quantities, the monopolist
will maximize their profit. To maximize their profit, MC ≈ MR which is at the time when
the monopolist produce 6 quantities.
The monopolist will charge at the price of 5.5 $
At price of 5.5 $, the profit = = 33 16 = 17.0 the will be Π TR – TC –
Problem 2: A firm has demand function of P=100-Q ($) and total cost function of
TC=500+ 4Q+Q
2
($).
TR
= P x Q = Q)xQ = -Q + 100Q (100 –
2
→ = 100 - 2Q < 100 Q = P < P MR = (TR)’ – ↔ MR
→ firm is not a perfect competitive firm. This
MR = 100 2Q –
To maximize the total revenue ↔ MR = 0 ↔ 100 – ↔ Q = 50. 2Q = 0
At
point Q = 50 P = 50, = 500 + 4.50+50 = 3200 the → TC
2
($).
And the maximum total revenue is
TR
Max
= - 50 +100.50 = 2500 ($).
2
c.
MC = 2Q +4= (TC)’
To maximize profit ↔ MC = MR ↔ 2Q + 4 = 100 2Q ↔ Q = 24.-
At 24 price P = 100 24 = 76 ($). Q = the is –
And the maximum total profit is
Π
Max
= TR* TC* - = - 24 +100.24
2
– + 4.24 + 24 652 (500
2
) = ($)
If the government imposes a tax of 8 $ per unit of good sold we will have:
TC
1
= 500 +4Q + Q
2
+ 8Q = 500 + 12Q + Q
2
→ = (TCMC
1 1
)’ = 2Q + 12
To maximize firm profit = 2Q + 12 = 100 2Q 22the ↔ MC
1
MR ↔ – ↔ Q =
So 22 will have price P = 100 22 = 78 at Q = we the
1
– ($).
And the maximum total profit is
Π
Max
= TR* TC -
1
*= -22 +100.22
2
– (500 +12.22 + 22 468 ($).
2
) =
Asume government imposes a fixed tax of 100 $ then we will have:
TC
2
= 500 + 4Q + Q + 100 = 600 + 4Q + Q
2 2
→ = (TCMC
2 2
)’ = 2Q + 4
To maximize the firm profit = 2Q + 4 = 100 2Q Q = 24.↔ MC
2
MR ↔ – ↔
So 24 we will have P = 100 22 = 76 at Q = the price
2
– ($).
And the maximum total profit is
Π
Max
= TR* TC -
2
*= -24 +100.24
2
– (600 + 4.24 +24 ) = 552 ($).
2

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Microeconomics ASSIGNMENT 8 Group 8 – EBBA 13.2 Nguyen Khanh Hang Truong Van Phuc Tran Quynh Chi Le Phuc Anh Tuan Ha Anh Nguyet Problem 1. Th
e following table shows the demand & cost data for a monopolist: a. Quantity Price ($) Total Margin Total Aver Mar revenu al cost age ginal e ($) revenu ($) total cost e ($) cost ($) ($) 0 8.5 0 - 5 - - 1 8.0 8.0 8.0 9 9.0 4.0 2 7.5 15.0 7.0 11.5 5.75 2.5 3 7.0 21.0 6.0 12.5 4.17 1.0 4 6.5 26.0 5.0 13.5 3.375 1.0 5 6.0 30.0 4.0 14.0 2.8 0.5 6 5.5 33.0 3.0 16.0 2.67 2.0 7 5.0 35.0 2.0 20.0 2.86 4.0 8 4.5 36.0 1.0 25.0 3.125 5.0 9 4.0 36.0 0 32.0 3.56 7.0 10 3.5 35.0 -1 40.0 4.0 8.0
The monopolist will produce 6 quatities. Because by producing 6 quantities, the monopolist
will maximize their profit. To maximize their profit, MC ≈ MR which is at the time when
the monopolist produce 6 quantities.
The monopolist will charge at the price of 5.5 $
At the price of 5.5 $, the profit will be Π = TR – TC = 33 – 16 = 17.0
Problem 2: A firm has demand function of P=100-Q ($) and total cost function of TC=500+ 4Q+Q2 ($).
TR = P x Q = (100 – Q)xQ = -Q2 + 100Q
→ MR = (TR)’ = 100 - 2Q < 100 – Q = P ↔ MR < P
→ This firm is not a perfect competitive firm. MR = 100 – 2Q
To maximize the total revenue ↔ MR = 0 ↔ 100 – 2Q = 0 ↔ Q = 50.
At the point Q = 50 → P = 50, TC = 500 + 4.50+502 = 3200 ($).
And the maximum total revenue is
TRMax = - 502 +100.50 = 2500 ($). c. MC = (TC)’ = 2Q +4
To maximize profit ↔ MC = MR ↔ 2Q + 4 = 100 - 2Q ↔ Q = 24. At Q = 24 the price i s P = 100 – 24 = 76 ($).
And the maximum total profit i s
ΠMax = TR* - TC* = - 242 +100.24 – (500 + 4.24 + 242) = 652 ($)
If the government imposes a tax of 8 $ per unit of good sold we will have:
TC1 = 500 +4Q + Q2 + 8Q = 500 + 12Q + Q2 → MC1 = (TC1)’ = 2Q + 12
To maximize the firm profit ↔ MC1 = MR ↔ 2Q + 12 = 100 – 2Q ↔ Q = 22
So at Q = 22 we will have the price P1= 100 – 22 = 78 ($).
And the maximum total profit i s
ΠMax = TR* - TC1*= -222 +100.22 – (500 +12.22 + 222) = 468 ($).
Asume government imposes a fixed tax of 100 $ then we will have:
TC2 = 500 + 4Q + Q2 + 100 = 600 + 4Q + Q2 → MC2 = (TC2)’ = 2Q + 4
To maximize the firm profit ↔ MC2 = MR ↔ 2Q + 4 = 100 – 2Q ↔ Q = 24.
So at Q = 24 we will have the pric e P2= 100 – 22 = 76 ($).
And the maximum total profit i s
ΠMax = TR* - TC2*= -242 +100.24 – (600 + 4.24 +242) = 552 ($).

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