


3) Suppose that an industry consists of two firms that produces a homogeneous product. Suppose that...
= Consider an industry consisting of two firms which produce a homogeneous commodity. The industry demand function is Q = 100 – P, where Q is the quantity demanded and P is its price. The total cost functions are given as C1 = 50q1 for firm 1, and C2 = 60qz for firm 2, where Q 91 +92. a. (6 points) Suppose both firms are Cournot duopolists. Find and graph each firm's reaction function. What would be the equilibrium price,...
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Two firms compete in a market to sell a homogeneous product with inverse demand function P= 600 - 3Q. Each firm produces at a constant marginal cost of $300 and has no fixed costs. Use this Information to compare the output levels and profits in settings characterized by Cournot, Stackelberg, Bertrand, and collusive behavior. Instruction: Do not round Intermediate calculations. Round final answers to two decimal places for Cournot values. Cournot output for each firm:...
Consider two firms with the same constant average and marginal cost, AC = MC = 5 (meaning the cost function is T C1 = 5q1 , T C2 = 5q2 ), facing the market demand curve q1 + q2 = 53 − P . We will use the Stackelberg model to analyze what will happen if one of the firms makes its output decision before the other. What is each firm’s equilibrium output and profit if they behave noncooperatively and...
1.Consider an industry with only two firms that produce identical products. Each of the firms only incurs a fixed cost of $1000 to produce and marginal cost is 20. The market demand function is as follows: Q=q1+q2=400-P a. Assuming that the firms form a cartel, calculate the profit-maximizing quantity of output, price and profits b. If the firms choose to behave as in the Cournot model, what would be the profit- maximizing quantities of output, price and profits? c. if...
Suppose two firms (Firm 1 and Firm 2) are producing a product. The total demand is: Q = 110 –10P, where Q = Q1 + Q2. Each of the two firms has the cost function TC = 5Q. Based on the information given, calculate the equilibrium P, Q, Q1, Q2, Profit1 and Profit2 under monopoly (collusion), Cournot, and Stackelberg. For the Stackelberg model, assume that Firm 1 is the leader and Firm 2 is the follower. Show all your workings...
In the Stackelberg model we saw in class there were two firms 1 and 2. Suppose that the market demand is p(Q) = 60−Q, where as in class Q is the aggregate quantity. The const function for firm 1 is c1(q1) = 10q1 and the cost function for firm 2 is c2(q2) = q2. Firm 1 is the leader and Firm 2 is the follower. (a) Solve for the follow’s reaction function, and the leader’s maximization problem. (b) Describe the...
Suppose an industry has a duopoly structure. Duopolist 1 has a cost function given by: c1 (y1) = (y1)2 for y1 ≥ 0 . Duopolist 2 has a cost function given by: c2(y2 ) = 12y2 for y2 ≥ 0. Denoting total output produced in the industry by y = (y1 + y2), the inverse demand function for the good produced in the industry is given by: p = 100 – y Find the reaction function of each duopolist. Using...
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1 Suppose that two identical firms produce widgets and that they are the only firms in the market. Their costs are given by C1 = 60Q1 and C2 = 60Q2, where Q1 is the output of Firm 1 and Q2 is the output of Firm 2. Price is determined by the following demand curve: P= 900-Q where Q = Q1 +Q2: Find the Cournot-Nash equilibrium. Calculate the profit of each firm at this equilibrium....
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Suppose there are only two firms in the marker, firm A and firm B. They produce identical products. Firm A and firm B have the same constant marginal cost, MCA = MCB = ACA = ACB = 25. The market demand function is given by Q = 400 – 4P. a. If the firms practice under the Bertrand model, what will be the Nash equilibrium market price and output level? b. If these two...
Reference the following information about the market demand function for questions 1 to 15. These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) =...