Two farmers produce milk for local town with local milk demand given by Q=100-1/3P (P denotes price measured in Rands, Q denotes the quantity measured in litres). Both farmers have the same cost function given by TC=150+2q (where q denotes output) (a) Does joining a cartel offer any benefits to both farmers? Justify your answer
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Two farmers produce milk for local town with local milk
(a) Does joining a cartel offer any benefits to both farmers? Justify your answer
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- Two dairy farmers produce milk for a local town with local milk demand given by Q =100-0.3333333333P(P denotes price measured in Rands, Q denotes the quantity measured in liters). Both farmers have the same cost function given by TC= 150+ 2Q(wheredenotes output). (a) Does joining a cartel offer any benefits to both farmers? Justify your answerTwo farmers produce milk for local town with local milk demand given by Q=100-1/3P (P denotes price measured in Rands, Q denotes the quantity measured in litres). Both farmers have the same cost function given by TC=150+2q (where q denotes output) a. Suppose that both farmers decide to form a cartel, determine profits for each farmer under the cartelA two-firm cartel producing industrial diamonds faces the following demand function: Q=120-10P The total cost function of each firm is TC1 = 4Q1 + 0.1Q12 and TC2 = 2Q2 + 0.1Q22 a, Find the output and profit of each firm and total profit of cartel that maximize total profits b, Find the output and profit of each firm and total profit of cartel that maximize total revenues
- Producers in three countries have formed a cartel to sell a highly-priced product. Suppose the world demand for the product is consistent with the equation: P=80-0.005QT NB: QT is the total cartel sales. The producers have managed to maximise profit at a price of R70 per unit. Suppose the members have the following total cost functions; Member 1: TC=7382 + 10Q + 0.05Q2 Member 2: TC= 9374 + 20Q + 0.02Q2 Member 3: TC=7432 + 30Q + 0.03Q2 : Derive: a) Marginal revenue b) Output of member 1,2 and 3 c) Total cartel output.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− Q A − Q B where Q A and Q B are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TC A =1,500+55 Q A + Q A 2 TC B =1,200+20 Q B +2 Q B 2 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…Consider an industry with two firms, each having marginal costs and total costs equal to zero. The industry demand is P = 100 − Q where Q = Q1 + Q2 is total output. 1. Find the cartel output and cartel profits assuming that the firms share the profit equally. In cartels, firms behave as if they are a monopoly. Hence, the cartel quantity is at the point where MR = MC. After finding the quantity, use the demand curve to find the cartel price. And then calculate Π = T R − T C. Divide the total profit by 2 to find each firm's profit. 2. If each firm behaves as a Cournot competitor, what is firm 1's optimal output given firm 2's output? This part is asking the best response function of firm 1. Solve firm 1's profit maximizatin problem by setting its MC = MR. Then, express Q1 as a function of Q2. 3. Calculate the Cournot equilibrium output and profit for each firm. You have already solved firm 1's problem above. Now solve firm 2's problem. Then, solve BR functions simultaneously to get…
- 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-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+Qa2 TCb=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 the marginal cost of 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…Two farmers produce milk for local town with local milk demand given by Q=100-1/3P (P denotes price measured in Rands, Q denotes the quantity measured in litres). Both farmers have the same cost function given by TC=150+2q (where q denotes output) a. Calculate the profit if farmer 2 decides to break the cartel agreementConsider an industry with two firms, each having marginal costs and total costs equal to zero. The industry demand is P = 100 − Q where Q = Q1 + Q2 is total output. 4. If the firms interact only once, is there a profitable deviation (cheating) from cartel for any firm? Find the profit of the firms in case of cheating. If a firm deviates from cartel (cheats) it will play its profit maximizing quantity, which is the quantity on its best response function. Now, use the best response function of firm 1 to find firm 1's cheating quantity, when firm 2 follows the rules of the cartel. Use the demand curve to find the new price level and then calculate profits. 5. Design a 2x2 normal form payoff matrix with strategies cartel and cheat. Complete the payoffs using the profits you calculated in the previous parts. Firm 2 Cartel Cheat Firm 1 Cartel Cheat 6. Now, assume that players interact twice. Hence the game is a twice repeated game. Is it possible to have (cartel,cartel) as an outcome?…
- If the market described in the accompanying diagram is dominated by a cartel, the loss in total surplus relative to perfectly competitive market conditions will be what?Suppose that two identical firms produce widgets and that they are the only firms in the market. The average and marginal cost is €6 for each firm. Price is determined by the following demand curve: P = 30 – Q where Q = Q1 + Q2. Suppose the two firms combine together and form a cartel. The output produced by each firm in the cartel is (assuming that they split the cartel output equally between them) A. 6 B. 12 C. 8 D. 4 Two identical firms compete in a market to sell a homogenous good with the following inverse demand function: P = 600 – 3Q. Each firm produces at a constant marginal cost of €300 and there are no fixed costs. The price that each firm in the Cournot equilibrium will charge is A. 400 B. 500 C. 300 D. 450Assume the management of two large firms selling canned vegetables hold a secret meeting to create a collusive cartel. Which will most likely be the outcome of that meeting, assuming both companies engage in the collusion? soda output will fall and market prices will fall market price will remain unchanged and total output will fall soda output will fall and market prices will rise soda output will rise and market prices will fall soda output will rise and market prices will rise