Consider a Bertrand Duopoly Model. Marker demand curve is given by Q = 200-P. Firm A has a marginal cost of $20 and Firm B has a marginal cost of $50. In equilibrium, what is the market price? How many units does each firm produce? Calculate each firm's profit.
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- Consider the Cournot duopoly with linear demand function ? = 2000 − 2Q, where P is the price and Q = q1 + q2 is the total supply. Firm 1 and firm 2 has constant marginal cost of 600. Just answer the E, F and G, thank you bartleby! a. If firm compete in price, draw in detail the best response of each firm.b. Determine and explain the Bertrand equilibrium.c. What is the equilibrium quantity and how much profit for each firm?d. Explain the Bertrand Paradox in (c)!e. If firm 1 has capacity of production 450 and firm 2 has capacity of 200. Determine the Bertrand equilibrium.f. What is the equilibrium quantity, and how much profit for each firm?g. Is there any paradox in (f)?Bertrand duopolists face MWTP = 6 - Q and can produce any quantity without marginal and fixed cost. If the two firms compete for only 1 period, what is a Nash equilibrium price? (Assume prices must be in whole cents. Remember, do not enter the $ sign.)The market demand curve faced by Cournot duopolistsis: Qd = 400 - 8P where Qd is the market quantity demanded and P is the commodity's price in dollars. a. Firm A has a constant marignal cost of $10. What is the equation for Firm A's reaction function with qa expressed as a function of qb? b. Firm B has a constant marginal cost of $7.50. What is the equation for Firm B's reaction function with qb expressed as a function of qa? c. What quantity of output will each firm produce in equilibrium? What price will be established for the commodity?
- Consider two firms that produce the same good and competesetting quantities. The firms face a linear demand curve given by P(Q) =1 − Q, where the Q is the total quantity offered by the firms. The costfunction for each of the firms is c(qi) = cqi, where 0 < c < 1 and qiis the quantity offered by the firm i = 1, 2. Find the Nash equilibriumoutput choices of the firms, as well as the total output and the price, andcalculate the output and the welfare loss compared to the competitiveoutcome. How would the answer change if the firms compete settingprices? What can we conclude about the relationship between competitionand the number of firms?Write down a homogeneous good cartel model of quantity choice with two firms. State andexplain the key assumptions of the model. Using the model, answer:(a) Analyse and explain how the cartel would decide the optimal quantity for each firm.Cournot’s Model of Duopoly) Joe and Rebecca are small-town ready-mix concrete duopolists. The market demand function is Qd=5500-25P, where P is the price of a cubic metre of concrete and Qd is the number of cubic metres demanded every year. The marginal cost is $40 per cubic metre. Competition in this market is described by the Cournot model. (a)Given Rebecca’s output is 2000, what is Joe’s residual demand function? What is Joe's output so he maximizes his profit? (b)If Rebecca’s output is qR, what is Joe’s best response function? (c)If Joe’s output is qj, what is Rebecca’s best response function? (d)Plot both Joe and Rebecca’s best response functions on one graph, where the the horizontal axis represents Rebecca’s output qR and the vertical axis represents Joe's output qR. (e)What is the meaning of the interception of the two best response functions?
- Consider a duopoly market with 2 firms. Aggregate demand in this market is given by Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market? **if possible, please answer my questions in typing as its hard for me to read works in hand-written, thanksConsider a duopoly market with 2 firms. Aggregate demand in this market is given byQ = 500 – P,where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. a)Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB,MRB=500-QA-2QB. b)Describe what a best-response curve is and how to find it. c)Derive the best-response function for each firm. hi, can you answer part a.b,c please. If possible, please answer this question in typing as i can't read hand -written answers, thanksConsider a Bertrand duopoly where market demand is P(Q)=107-5Q. Each firm faces a marginal cost $18 and no fixed cost. what is one market price that can occur in a Nash equilibrium?
- Assume a duopoly (two firms: A and B) is facing a common demand equation but different cost equations. Q = 300-20P TCA = 300+20Q+2Q2 TCB = 250+10Q+3Q2 Show the profit maximizing quantity (Q) to each firm (A and B) and the corresponding prices (PA and PB). How would the two firms ultimately resolve price competition?Consider a duopoly market with 2 firms. Aggregate demand in this market is given byQ = 500 – P,where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MCi = 20, i=A,B. Assume the firms compete a la Cournot. 1. Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. Describe what a best-response curve is and how to find it. Derive the best-response function for each firm. What are the equilibrium quantities? What is the total quantity supplied on this market? What is the equilibrium price in this market?J 4 (Cournot Model) There are two firms (N=2), Airbus and Boeing, in the market. Each firm’s cost is MC=AC=20. The market demand is Q=100-(1/2) P. Both firms simultaneously select quantities. a) Find each firm’s reaction function. b) Find a pure Cournot Nash Equilibrium (NE). Show the market quantity and price (Q and P), each firm’s quantity and profit (qi and I, i=Airbus, Boeing), producer surplus (PS) and consumer surplus (CS) in the NE.