![QUESTION 9 A homogeneous products duopoly faces a market demand function given by P-a-Q, where Q Q1 + Q2 and a-300. Both firms have constant marginal costs MC-100. There are no fixed costs a) What is firm 1s optimal quantity given that firm 2 produces an output of 50 units per year? And what is frms 1 quantity if firm 2 produces 20 units? 4 marks) b) Derive the equation of each firms reaction function and provide a graphical explanation to comment your results 4 marks) c) What is the Cournot equilibrium quantity per firm and price in this market? (6 marks d) What would be the market equilibrium quantity and price if the two firms were 8 marks) perfectly competitive? Please comment results comparing them to the ones obtained in the Cournot equilibrium e) What are the Cournot equilibrium quantities and industry price if both firms marginal costs decrease to MC-90 [8 marks]](http://img.homeworklib.com/questions/5b3e9c60-74cd-11ea-93f8-e503d91683a3.png?x-oss-process=image/resize,w_560)
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QUESTION 9 A homogeneous products duopoly faces a market...
A homogeneous products duopoly faces a market demand function given by P a - Q, where...
A homogeneous products duopoly faces a market demand function given by P a - Q, where QQ Q2 and a>300. Both firms have constant marginal costs MC-100. There are no fixed costs. a) What is firm 1's optimal quantity given that firm 2 produces an output of 50 units per year? And what is firm's 1 quantity if firm 2 produces 20 units? [4 marks] b) Derive the equation of each firm's reaction function and provide a graphical explanation to...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. (part 2) 1a. What is the Bertrand equilibrium price and quantity in this market? 1b. Suppose Firm 1 is the Stackelberg leader, what is the equilibrium price in this market if Firm 2 plays the follower in this duopoly market? What is the equilibrium quantity? How much does each firm...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. 1a. Derive the equation of each firm's quantity reaction function. b. What are the Cournot equilibrium quantity and price in this market? How much does each firm produce? c. What would be the equilibrium price and quantity in this market if it were perfectly competitive? d. What would the equilibrium...
1. A homogeneous products duopoly, Paper co and Wow Paper Inc, is considering new market in...
1. A homogeneous products duopoly, Paper co and Wow Paper Inc, is considering new market in Brazil and it faces a market demand function given P = 300 – 3Q, where Q=Q1 +Q2. Both firms have a constant marginal cost MC = 100. e) Since Paper Co has timber production for the paper in Amazon, their MC to produce paper would be lower than Wow Paper Inc. What are the Cournot equilibrium quantities and industry price when one firm (Wow...
In a market with a duopoly, if market demand is find the Cournot Reaction curves and...
In a market with a duopoly, if market demand is find the Cournot Reaction curves and the Cournot quantity solutions then deduce the price in the case where Marginal cost curves for either of the duopoly firms is and . Compare your results to the case where a Monopolist that has a replaces the duopoly. What are the monopoly quantity and price? Which quantities are bigger, Cournot or Monopoly? What is the consumer Surplus in both cases? Set up the...
3. Cournot model: Quantity competition in simultaneous move homogeneous product duopoly explain in words. The market...
3. Cournot model: Quantity competition in simultaneous move homogeneous product duopoly explain in words. The market for bricks consists of two firms that produce identical products. Competition in the market is such that each of the firms simultaneously and independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two firms. Firm 2 has a patented technology that provides it with a...
A duopoly faces the following demand curve, Q = 30 - P (also P = 30...
A duopoly faces the following demand curve, Q = 30 - P (also P = 30 - Q). Firm 1 can produce Q1, and firm 2 can produce Q2 so that Q = Q1 + Q2. Both firms have zero marginal cost. a. Find the equilibrium price and quantity if the firms collude and behave monopolistically. b. Find the equilibrium price and quantity for each firm if they behave as Cournot competitors. c. Find the equilibrium price and quantity for...
Market inverse demand for a homogeneous product is P = 100 - Q. On the supply-side,...
Market inverse demand for a homogeneous product is P = 100 - Q. On the supply-side, there is a Cournot duopoly; each firm faces a constant marginal cost of 10. At the Cournot-Nash equilibrium, the market price will be:
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 300 – 4(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $74. The cournot-duopoly equilibrium profit for each firm is
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P...
Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 200 – 2(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $68. The cournot-duopoly equilibrium profit for each firm is
A homogeneous products duopoly faces a market demand function given by P a - Q, where QQ Q2 and a>300. Both firms have constant marginal costs MC-100. There are no fixed costs. a) What is firm 1's optimal quantity given that firm 2 produces an output of 50 units per year? And what is firm's 1 quantity if firm 2 produces 20 units? [4 marks] b) Derive the equation of each firm's reaction function and provide a graphical explanation to...
3. Cournot model: Quantity competition in simultaneous move homogeneous product duopoly explain in words. The market for bricks consists of two firms that produce identical products. Competition in the market is such that each of the firms simultaneously and independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two firms. Firm 2 has a patented technology that provides it with a...
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