Question 4 A monopolist has two sets of customers. The inverse demand for Group 1 is described by P = 200-Q, where P represents the Price and Q represents the quantity. For Group 2 the inverse demand is P = 200-2Q. The monopolist faces constant marginal cost of 40. a. Show the monopolist's total demand, if the two markets are treated as one. b. Show that the monopolist profit maximising price is P = 120 if both groups are to be charged the same price. At this price how much is sold to members of Group 1 and how much to members of Group 2?

Economics:
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Author:BOYES, William
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Chapter25: Monopoly
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Question 4
A monopolist has two sets of customers. The inverse demand for Group 1 is described
by P = 200-Q, where P represents the Price and Q represents the quantity. For
Group 2 the inverse demand is P = 200-2Q. The monopolist faces constant marginal
cost of 40.
a. Show the monopolist's total demand, if the two markets are treated as
one.
b. Show that the monopolist profit maximising price is P = 120 if both groups
are to be charged the same price. At this price how much is sold to
members of Group 1 and how much to members of Group 2?
Transcribed Image Text:Question 4 A monopolist has two sets of customers. The inverse demand for Group 1 is described by P = 200-Q, where P represents the Price and Q represents the quantity. For Group 2 the inverse demand is P = 200-2Q. The monopolist faces constant marginal cost of 40. a. Show the monopolist's total demand, if the two markets are treated as one. b. Show that the monopolist profit maximising price is P = 120 if both groups are to be charged the same price. At this price how much is sold to members of Group 1 and how much to members of Group 2?
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