The inverse demand of a monopolist is given by the expression P = 50 - 2Q and its cost function is C(Q) = Q^2 + 20Q + 20. a) Determine the profit maximising level of production, price and profits. Plot the profit maximising equilibrium b) Calculate the monopoly power of the company using the Lerner Index and the price elasticity of demand at the profit maximising equilibrium. c) What would be the increase in social welfare if the monopolist is forced to sell its product at perfect competition equilibrium price?

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter8: Monopoly
Section: Chapter Questions
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The inverse demand of a monopolist is given by the expression P = 50 - 2Q and its cost function is C(Q) = Q^2 + 20Q + 20.

a) Determine the profit maximising level of production, price and profits. Plot the profit maximising equilibrium

b) Calculate the monopoly power of the company using the Lerner Index and the price elasticity of demand at the profit maximising equilibrium. 

c) What would be the increase in social welfare if the monopolist is forced to sell its product at perfect competition equilibrium price?

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