2) An industry consists of three firms with identical total cost functions C(q) = 20q+q². Market demand is Q(P) = 140 - P. a) Find the Cournot-Nash equilibrium quantity, price and profits for this industry. b) Suppose a monopolist controlled the three firms. What would its cost function be? c) What would be this monopolist's quantity, price and profits?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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**Problem 2:**

An industry consists of three firms with identical total cost functions \( C(q) = 20q + q^2 \). The market demand is given by \( Q(P) = 140 - P \).

a) Find the Cournot-Nash equilibrium quantity, price, and profits for this industry.

b) Suppose a monopolist controlled the three firms. What would its cost function be?

c) What would be this monopolist’s quantity, price, and profits?
Transcribed Image Text:**Problem 2:** An industry consists of three firms with identical total cost functions \( C(q) = 20q + q^2 \). The market demand is given by \( Q(P) = 140 - P \). a) Find the Cournot-Nash equilibrium quantity, price, and profits for this industry. b) Suppose a monopolist controlled the three firms. What would its cost function be? c) What would be this monopolist’s quantity, price, and profits?
Expert Solution
Step 1

Given that,

Three firms with identical total cost function: ?(?) = 20?+?²,

Market demand: ?(?) = 140−?

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