Two firms who make identical products engage in Cournot competition. The inverse market demand curve is: P(Q) = 60 - 10Q, where Q = 9₁ +92. The cost functions are C₁(91) = 109₁ and C₂(92) 592 for firms 1 and 2, respectively. Find the Nash equilibrium quantities for each firm. = (a) 91 : 1.5, 92 = 2 (b) q₁ = 92 = 2 (c) q₁ = 92 = 1.5 (d) 9₁ = 1.5, q2 = 3 (e) None of the above options is correct.
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- Suppose that Raleigh and Dawes are the only sellers of bicycles in the UK. The inverse market demand function for bicycles is ?(?)=200−2?. Both firms have the same total cost function: ??(?)=12? and the same marginal cost: ??(?)=12.Suppose this market is a Stackelberg oligopoly and Raleigh is the first mover.a) Write down a formula for the reaction function of Dawes.b) Calculate the equilibrium quantity that each firm produces and the equilibrium price in the market.c) At the Stackelberg equilibrium, how much profit does each firm make?Suppose now that the two firms decide to act like a single monopolist.a) What will the total quantity of bicycles sold in the market be and what will the equilibrium price be? Represent the profit maximisation problem on a graph and indicate the price and quantity at the equilibrium.b) Calculate the total profit made by the two firms when they act like a monopoly. Compare it with the total profit they were making in the Stackelberg oligopoly.c) For the…Ugly Dolls Inc. (UD) is a firm in Mytown that sells its products on a market under monopolistic competition. The cost function of UD is represented by TC = 100+10Q. Lately, because of the UD is making a big amount of profit, some firms enter the market to compete. Assume that Mytown engages in free trade in the dolls markets with Yourtown, who also faces a market with monopolistic competition. Because of this we can expect that, (a) The numbers of firms operating in this market will not change. (b) At equilibrium the profit of firms will increase. (c) The quantity of types of dolls available to consumers will increase. (d) All the above answers are correct.Consider a Cournot duopoly with the following inverse demand function: P = 4,000 – 4Q1 - 4Q2. The firms' marginal costs are identical and are given by MC¡(Q¡) = 120QI. Based on this information, firm 1 and 2's reaction functions are Multiple Choice r1(Q2) = 485 - 0.5Q2 and r2(Q1) = 485 – 0.5Q1. r1(Q2) = 488 – 0.5Q2 and r2(Q1) = 488 – 0.5Q1. r1(Q2) = 33.3 – 0.25Q2 and r2(Q1) = 33.3 – | 0.25Q1. r1(Q2) = 288 - 0.5Q1 and r2(Q1) = 288 – %3D %3| 0.5Q2.
- Consider a Cournot duopoly with the following inverse demand function: P = 100 - 2Q1 - 2Q2. The firms' marginal costs are identical and are given by MCi(Qi) = 2Qi. Based on this information, firm 1 and 2's reaction functions are: A. r1(Q2) = 24.5 - 0.5Q1 and r2(Q1) = 24.5 - 0.5Q2. B. r1(Q2) = 24.5 - 0.5Q2 and r2(Q1) = 24.5 - 0.5Q1. C. Q1 = 49 - 0.5Q2 and Q2 = 49 - 0.5Q1. D. Q1 = 49 - 0.25Q2 and Q2 = 49 - 0.25Q1. Please provide me with detail step by step process to get to the answer. coz no matter how many times I tried. my answer doesnt match the one in answer keyWhat is the homogeneous-good duopoly Cournot equilibrium if the market demand function is Q=4,000-1,000p, and Firm l's and Firm 2's variable cost functions are V (q1) = 0.22qlandV (q2) = 0.22q2 , respectively. Select one alternative: Both firms produce 1300 units of outpuit. Both firms produce 1280 units of output. Both firms produce 1240 units of output. Both firms produce 1260 units of output.Consider a Cournot duopoly with the following inverse demand function: P = 400 − 3Q1 − 3Q2 . The firms' marginal costs are identical and are given by MCi(Qi) = 2Qi. Based on this information, firm 1 and 2's marginal revenue functions are Multiple Choice MR1(Q1,Q2) = 400 − 6Q1 − 3Q2 and MR2(Q1,Q2) = 400 − 3Q1 − 6Q2. MR1(Q1,Q2) = 200 − 6Q2 and MR2(Q1,Q2) = 200 − 3Q1. MR1(Q1,Q2) = 200 − 3Q1 − 3Q2 and MR2(Q1,Q2) = 200 − Q1 − 3Q2. MR1(Q1,Q2) = 400 − 6Q1 − 6Q2 and MR2(Q1,Q2) = 400 − 6Q1 − 6Q2.
- Consider a Cournot Oligopoly. One firm has costs C1(Q1) = 12Q1 while the other firm’s cost function is C2(Q2) = 10Q2. The demand for both firms’ products Q=Q1 +Q2 isQD(P)=200−2P. (a) Determine the equilibrium price P, the market shares s1, s2, and the quantities Q1, Q2 produced by both firms. (b) Suppose more firms with the lower cost technology, i.e., with cost function Ci(Qi) = 10Qi enter the market. How many firms with this technology must be in the market such that firm 1’s profit becomes negative. In other words, suppose there is one firm with the high costs, and n firms with the low costs. At what level n will profits of the high-cost firm be negative?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?Consider a market with demand P(Q) = 39-3Q in which two firms compete. Firm 1 faces TC1(Q) = 18Q and firm 2 faces TC2(Q) = 9Q. Suppose that firm 1 chooses their quantity first, then firm 2 sees that quantity, and then firm 2 sets their quantity (Stackelberg duopoly). (a) Find the reaction function for firm 2 (b) What is the marginal revenue for firm 1 (given that they know that firm 2 will best respond)? (c) Find the Stackelberg equilibrium (d) Determine profits for each firm and consumer surplus. (e) Which firm is better off?
- Consider two firms that produce the same good and compete setting 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 cost function for each of the firms is c(qi) = cqi, where 0 < c < 1 and qi is the quantity offered by the firm i = 1,2. Find the Nash equilibrium output choices of the firms, as well as the total output and the price, and calculate the output and the welfare loss compared to the competitive outcome. How would the answer change if the firms compete setting prices? What can we conclude about the relationship between competition and the number of firms?Suppose a market is served by two firms (a duopoly). The market demand function given by P = 1200 - Q_{1} - Q_{2} where Q_{1} is the output produced by firm and Q_{2} is the output produced by firm 2 . Firm cost of production is given by the function C(Q_{t}) = 120Q_{t} and firm 2's cost of production is given by the function C(Q_{2}) = 120Q_{2} The average cost of firm 1 is given by A*C_{1} = 120 and the average cost of firm 2 is given by A*C_{2} = 120 Marginal profit function for firm 1: Delta pi 1 Delta Q 1 equiv1080-2Q 1 -Q 2; (d*pi_{2})/(Delta*Q_{2}) = 1080 - Q_{1} - 2Q_{2} Marginal profit function for firm 2: What will be the equilibrium profit levels earned by the Stackelberg leader firm and the Stackelberg follower firm?QUESTION 12 Consider an industry with two identical firms (denoted firm 1 and 2) producing a homogenous good. Firms compete in quantities and have a constant marginal cost of 30. Demand in the industry is given by D(p) = 195 - p/2. Let q1 and q2 denote the quantities of firm 1 and 2, respectively. Derive the best resonse functions and the Nash equilibrium in quantities. Which of the following statements are correct? [There may be more than one correct statement.] The Nash equilibrium quantity for each firm is 40. O The Nash equilibrium quantity for each firm is 60. The reaction function of firm 1 is given by q1 = 60 - (92)/2. The reaction function of firm 1 is given by q1 = 45 - (92)/2. The reaction function of firm 1 is given by q1 = 90 - (92)/2. O The Nash equilibrium quantity for each firm is 30. None of the above. 000