(1) What is the quantity the monopolist will produce? (2) What is the quantity supplied to Class 1? What is the quantity supplied to Class2? (3) What is the price for Class 1? What is the price for Class2? (4) What is the monopolistic price if a single price were set for both classes? (5) What is the profit the monopolist would make if a single price were set for both classes? Is the profit bigger or smaller? (Compare with the case in which a monopolist acts as a third degree price discriminator)

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Question 5. Monopolist with Price Discrimination [Ch.15] (Handout 7)
Consider a market served by a single producer. The total cost function for this monopolist is TC=
050.
The monopolist's marginal cost is: MC-Q.
Suppose there are two classes of buyers in this market. The demand functions for the two classes are:
Class 1: P-10-Q/2 (or Q-20-2P),
Class 2: P-14-2Q (or Q-7-P/2)
When the monopolist CANNOT distinguish between the two classes, we can graph the market demand
curve and the monopolist's MR as shown in the graphs below.
Class I
P
10
71
CSI
P Class I
10 7
PA
CSI
14
P
Class II
14
10
CS II
D₂
D₁
3.2
20 Q
Suppose the monopolist acts as a third degree price discriminator. By the following questions, we are
finding the price and quantity pairs that a price discriminating monopolist would set for the two classes.
With a third-degree price discrimination, we can graph the market demand curve and the monopolist's
MR as shown in the graphs below.
2.8 7
Class II
7 CS II
D₂
MR₂
D₂
MR
4 10 20 Q 2 7
Page 4
P
Show Transcribed Text
A
8.4
Q
MR
6 13.5
6
MR
MC
13.5
MC
27
27
a
(1) What is the quantity the monopolist will produce?
(2) What is the quantity supplied to Class 1? What is the quantity supplied to Class2?
(3) What is the price for Class 1? What is the price for Class2?
(4) What is the monopolistic price if a single price were set for both classes?
(5) What is the profit the monopolist would make if a single price were set for both classes? Is the profit
bigger or smaller? (Compare with the case in which a monopolist acts as a thjud degs.price
discriminator)
Transcribed Image Text:Question 5. Monopolist with Price Discrimination [Ch.15] (Handout 7) Consider a market served by a single producer. The total cost function for this monopolist is TC= 050. The monopolist's marginal cost is: MC-Q. Suppose there are two classes of buyers in this market. The demand functions for the two classes are: Class 1: P-10-Q/2 (or Q-20-2P), Class 2: P-14-2Q (or Q-7-P/2) When the monopolist CANNOT distinguish between the two classes, we can graph the market demand curve and the monopolist's MR as shown in the graphs below. Class I P 10 71 CSI P Class I 10 7 PA CSI 14 P Class II 14 10 CS II D₂ D₁ 3.2 20 Q Suppose the monopolist acts as a third degree price discriminator. By the following questions, we are finding the price and quantity pairs that a price discriminating monopolist would set for the two classes. With a third-degree price discrimination, we can graph the market demand curve and the monopolist's MR as shown in the graphs below. 2.8 7 Class II 7 CS II D₂ MR₂ D₂ MR 4 10 20 Q 2 7 Page 4 P Show Transcribed Text A 8.4 Q MR 6 13.5 6 MR MC 13.5 MC 27 27 a (1) What is the quantity the monopolist will produce? (2) What is the quantity supplied to Class 1? What is the quantity supplied to Class2? (3) What is the price for Class 1? What is the price for Class2? (4) What is the monopolistic price if a single price were set for both classes? (5) What is the profit the monopolist would make if a single price were set for both classes? Is the profit bigger or smaller? (Compare with the case in which a monopolist acts as a thjud degs.price discriminator)
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