

10. Two identical Cournot duopolists face demand function P = 200 - Qt. They have identical...
Assume that two companies (A and B) are Cournot duopolists that produce identical products. Demand for the products is given by the following linear demand function: ? = 200 − ?A − ?B where ?c and ?d are the quantities sold by the respective firms and P is the price. Total cost functions for the two companies are ??A = 1,500 + 55?A + ?A2 ??B = 1,200 + 20?B + 2?B2 a. Determine the equilibrium price and quantities sold...
Consider two symmetric Cournot duopolists who face inverse market demand of p = 140−Q. Suppose that they each have long-run cost functions Ci(qi) = 20qi for i = 1, 2. (a) Draw a graph containing the demand and marginal cost curves. (b) What are the efficient quantity and price, QC and pC? How much total surplus is generated at this quantity and price? (c) What are the monopoly quantity and price, QM and pM ? How much profit would a...
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...
Exercise 12.2 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. The 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 act independently as in the Cournot model (i.e., each firm assumes that the other firm’s output will not change)....
14. Two identical firms compete as a Cournot duopoly. The demand they face is P = 100 - 2Q. The cost function for each firm is C(Q) = 4Q. In equilibrium, the deadweight loss is: (a) $128, (b)$256, (c) $384, (d) $512, (e) none of them are true.. 15. Two identical firms compete as a Cournot duopoly. The demand they face is P = 100 - 2Q. The cost function for each firm is C(Q) = 4Q. The equilibrium output...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the fertilizer market is P = 1 - where Q = 94 +98. For simplicity, assume that the long-run marginal cost for each firm is equal to X, i.e. C(q)=Xq for each firm. a) Find the Cournot Nash equilibrium where the firms choose output simultaneously b) Find the Stackelberg Nash Equilibrium where firm A as the Stackelberg leader. How much does the leader gain by...
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...
Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P = 120-2Q. The total cost function for each firm is TC1(Q) = 4Q1. The total cost function for firm 2 is TC2(Q) = 2Q2. What is the output of each firm? Find: Q1 = ? Q2 = ?
PART TWO (10 points each, 40 points total). Answe r the following problems in the space provided Please show your work in an organized way with clearly labeled graphs if you choose to use any. 11. Two identical firms are engaged in Cournot competition, with cost functions TCA(QA) 150 Qa and TCB(Qs) -150 QB. The market demand is given by P 1050-20. a) Find the Cournot-Nash equilibrium and profit for each firm. b) Find the Stackelberg equilibrium if A leads...
Cournot Problem. Consider a Cournot oligopoly with two identical firms. These firms cach have constant marginal costs of $10. The market for these firms, product has demand Q 100-P 27. Refer to Cournot Problem. Each firm will producc. a. 22.5 units b. 30 units. С. 45 units. d. 90 units. ANS: B PTS: 1 28. Refer to Cournot Problem. Total industry output will be units. b. 45 units. С. 60 units. d. 90 units. ANS: C PTS: 1 29. Refer...