Assuming two players in the market, with the assumption that each control half of the market initially with their main target being output maximization, Suppose Q=90-P, with necessary illustrations, (a) Determine market Equilibrium under oligopol- (b) Given the functions, P= 100-0.5(X1+X2) and cost function described by Cl = 5X1 and C2 = 0.5X², (i) Find the profit made by each firm if equilibrium under oligopoly is achieved (ii) Calculate the MR of each firm at equilibrium © With necessary illustrations, describe the conventional conditions for profit maximization for any typical profit firm (c) Consider a typical profit a firm that sells product X whos selling price is P= 100 – 2Q, with cost function of C= 50+ 0.5Q. Using 1* order condition, (i) determine the profit maximizing Q (ii) what would be the profit maximizing Revenue?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
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Question six
Assuming two players in the market, with the assumption that
each control half of the market initially with their main target
being output maximization, Suppose Q=90-P, with necessary
illustrations, (a) Determine market Equilibrium under oligopoly.
(b) Given the functions, P= 100-0.5(X1+X2) and cost functions
described by C1 = 5X1 and C2 = 0.5X²,
(i) Find the profit made by each firm if equilibrium under
oligopoly is achieved
(ii) Calculate the MR of each firm at equilibrium
© With necessary illustrations, describe the conventional
conditions for profit maximization for any typical profit firm
(c) Consider a typical profit a firm that sells product X whose
selling price is P= 100 – 2Q, with cost function of C= 50+
0.5Q2. Using 1 order condition, (i) determine the profit
maximizing Q (ii) what would be the profit maximizing
Revenue?
Transcribed Image Text:Question six Assuming two players in the market, with the assumption that each control half of the market initially with their main target being output maximization, Suppose Q=90-P, with necessary illustrations, (a) Determine market Equilibrium under oligopoly. (b) Given the functions, P= 100-0.5(X1+X2) and cost functions described by C1 = 5X1 and C2 = 0.5X², (i) Find the profit made by each firm if equilibrium under oligopoly is achieved (ii) Calculate the MR of each firm at equilibrium © With necessary illustrations, describe the conventional conditions for profit maximization for any typical profit firm (c) Consider a typical profit a firm that sells product X whose selling price is P= 100 – 2Q, with cost function of C= 50+ 0.5Q2. Using 1 order condition, (i) determine the profit maximizing Q (ii) what would be the profit maximizing Revenue?
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