The market for a good is supplied by two companies whose total cost functions are given by C₁ (9₁) = 30q₁ and C₂ (92) = 30q2 respectively. The inverse market demand curve is given by: P(Q)=120-Q, where Q = Q₁ + Q₂. Calculate the price, quantity, and profits of each company in the following scenarios and indicate which would be more efficient: a) Companies compete on prices (Bertrand). b) Companies compete in quantities (Cournot). c) Companies form a cartel to maximize joint profits.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Exercise A.6
The market for a good is supplied by two companies whose total cost functions are given by
C₁ (9₁) = 30q₁ and C₂ (92) = 30q2 respectively. The inverse market demand curve is given by:
P(Q)=120-Q, where Q = Q₁ + Q₂. Calculate the price, quantity, and profits of each company in
the following scenarios and indicate which would be more efficient:
a) Companies compete on prices (Bertrand).
b) Companies compete in quantities (Cournot).
c) Companies form a cartel to maximize joint profits.
Illustrate your reply with graphs.
Transcribed Image Text:Exercise A.6 The market for a good is supplied by two companies whose total cost functions are given by C₁ (9₁) = 30q₁ and C₂ (92) = 30q2 respectively. The inverse market demand curve is given by: P(Q)=120-Q, where Q = Q₁ + Q₂. Calculate the price, quantity, and profits of each company in the following scenarios and indicate which would be more efficient: a) Companies compete on prices (Bertrand). b) Companies compete in quantities (Cournot). c) Companies form a cartel to maximize joint profits. Illustrate your reply with graphs.
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