Assume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function: P=200−QA−QBP=200−QA−QB where QAQA and QBQB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCA=1,500+55QA+QA2TCA=1,500+55QA+QA2 TCB=1,200+20QB+2QB2TCB=1,200+20QB+2QB2 Assume that the firms form a cartel to act as a monopolist and maximize total industry profits (sum of Firm A and Firm B profits). In such a case, Company A will produce- units and sell at- . Similarly, Company B will produce- ? units and sell at ? . At the optimum output levels, Company A earns total profits of- and Company B earns total profits of- . Therefore, the total industry profits are- ? . At the optimum output levels, the marginal cost of Company A is- and the marginal cost of Company B is- .The following table shows the long-run equilibrium if the firms act independently, as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change). Cournot Equilibrium
Compare the optimal solutions obtained in this exercise with the Cournot equilibrium given in the preceding table. What happens to the optimal selling price, total industry output, and total industry profits when the two firms form a cartel instead of acting independently?
|
Assume that two companies (A and B) are duopolists who produce identical products. Demand for the...
Exercise 12.1 Assume that two companies (C and D) are duopolists that produce identical products. Demand for the products is given by the following linear demand function: P=600−QC−QDP=600−QC−QD where QCQC and QDQD are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCC=25,000+100QCTCC=25,000+100QC TCD=20,000+125QDTCD=20,000+125QD Assume that the firms act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change). For...
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...
= 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,...
1. 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 0-400 4P. e. Calculate the profits for each firm in the Cournot model. f. g. Is the monopoly outcome stable? If firm A operates under the monopoly outcome, h. Graph the monopoly outcome, cournot outcome and perfect competition...
The answers I filled are wrong. 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....
The market for widgets consists of two firms that produce identical products. Competition in the market is such that each of the firms 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 is known to have a cost advantage over firm 1. A recent study found that the (inverse) market demand curve faced by the two firms...
16. An industry has two firms. The cost function of Firm 1 is ci(q) 2q + 500, and the cost function of Firm 2 is cz(g) - 2q + 400. The demand function for the output of this industry is a downward-sloping straight line. In a Cournot equilibrium in which both firms produce positive amounts of output: a. Total output of both firms is less than the cartel (joint-profit maximizing) output b. Firm 1 and Firm 2 produce the same...
Assume there are two firms, 1 and 2, that compete in output, products are homogeneous, and the inverse market demand is p = a – Q, where Q = q1 + q2. Assume that production costs are zero for simplicity. 1. Find the NE (Cournot) price, output, and profits of each firm if this is a static game. 2. Find the SPNE if this is a dynamic game where firm 1 chooses output first. 3. Find the cartel equilibrium to...
EC202-5-FY 10 9Answer both parts of this question. (a) Firm A and Firm B produce a homogenous good and are Cournot duopolists. The firms face an inverse market demand curve given by P 10-Q. where P is the market price and Q is the market quantity demanded. The marginal and average cost of each firm is 4 i. 10 marks] Show that if the firms compete as Cournot duopolists that the total in- dustry output is 4 and that if...
Consider an oligopolistic market with demand represented by P=250-5Q. Assume that the MC for each firm is MC 50. a) If the firms each have the same MC and the market is characterized by price competition (like Bertrand competition), what will be the equilibrium price? Quantity? Industry profits? b) If the few firms are, instead able to perfectly collude, what will be the equilibrium price? Quantity? Industry profits? c) If the market is characterized by quantity competition (Cournot) and there...