A monopolist has two sets of consumers, call them group 1 and group 2. Group 1's demand for the product is given by P(Q)= 180-Q, while that of group 2 is given by Q(P)= 84-0.6667P Group1 is described by an Inverse demand function while Group 2 is described by an demand function Suppose the two markets are treated as one, the monopolist's total quantity demanded at price 100.8 is and the marginal revenue at that price is and the monopolist's total quantity demanded at price 143 is and the marginal revenue at that price is

Microeconomic Theory
12th Edition
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Chapter14: Monopoly
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A monopolist has two sets of consumers, call them group 1 and group 2. Group 1's demand for the product is given by P(Q) = 180-Q, while that
of group 2 is given by Q(P)= 84-0.6667P
Group1 is described by an
Inverse demand function
while Group 2 is described by an
demand function
Suppose the two markets are treated as one, the monopolist's total quantity demanded at price 100.8 is
and the marginal revenue at
that price is
and the monopolist's total quantity demanded at price 143 is
, and the marginal revenue at that price is
Suppose farther that the monopolist has a constant marginal cost of 28
What is the monopolist's profit-maximizing price if both groups were charged the same price
and the monopolist will serve
Oonly consumers in Group 1
OConsumers in both Group 1 and Group 2
Oonly consumers in Group 2
What is the monopolist's profit-maximizing quantity if both groups were charged the same price
What are the monopolist's profits if both groups were charged the same price
what is the quantity supplied and demanded to Group 1
what is the quantity supplied and demanded to Group 2
Now suppose the monopolist can price discriminate
What is the price charged for Group 1
What are the profits from Group 1
What is the price charged for group 2
What are the profits from Group 2
Please answer all parts of the question.
Transcribed Image Text:A monopolist has two sets of consumers, call them group 1 and group 2. Group 1's demand for the product is given by P(Q) = 180-Q, while that of group 2 is given by Q(P)= 84-0.6667P Group1 is described by an Inverse demand function while Group 2 is described by an demand function Suppose the two markets are treated as one, the monopolist's total quantity demanded at price 100.8 is and the marginal revenue at that price is and the monopolist's total quantity demanded at price 143 is , and the marginal revenue at that price is Suppose farther that the monopolist has a constant marginal cost of 28 What is the monopolist's profit-maximizing price if both groups were charged the same price and the monopolist will serve Oonly consumers in Group 1 OConsumers in both Group 1 and Group 2 Oonly consumers in Group 2 What is the monopolist's profit-maximizing quantity if both groups were charged the same price What are the monopolist's profits if both groups were charged the same price what is the quantity supplied and demanded to Group 1 what is the quantity supplied and demanded to Group 2 Now suppose the monopolist can price discriminate What is the price charged for Group 1 What are the profits from Group 1 What is the price charged for group 2 What are the profits from Group 2 Please answer all parts of the question.
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