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- The demand for a product is Q = 100 P. Initially the marginal cost is MC0 = 40 and the price is P0 = 40. (a) What is the total surplus and If a cartel forms, the price rises to P1 = 70, and the marginal cost stays the same at MC1 = 40. What is the total surplus with a cartel? (b) If a merger happens, the price would become P2 = 70 and the marginal cost would become MC2 = 30. What is the total surplus after the merger? (c) Consider again the merger. Keeping all the others parameters fifixed, for what values of P2 should the merger be allowed? (Your can say something like “the merger should be allowed if P2 is more than 50”, or “the merger should be allowed if P2 is less than 50”.)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.A 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
- 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?A certain rural village has numerous small farms which raise livestock. There are two large and equally sized landowners, Jimmy and Bob, which produce hay for the farmers’ animals. Below is the daily village demand for hay Suppose, for simplicity, that Jimmy and Bob have the same constant cost structure, so maximizing total revenue maximizes profit. If Jimmy and Bob initially form a cartel, but subsequently succumb to the temptation to cheat on each other, what will be the Nash equilibrium? Jimmy and Bob will each earn a daily profit of $625. Jimmy will earn a daily profit of $700 and Bob will earn a daily profit of $500. Bob will earn a daily profit of $700 and Jimmy will earn a daily profit of $500. Jimmy and Bob will each earn a daily profit of $525.Why are cartel agreements often not successful? Different firms experience different costs. All parties would make more money if everyone increased production. One party has an incentive to cheat to make more profit?
- 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. 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?…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 answerSuppose 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. 450
- Suppose the demand for oil is P=122Q-0.20. There are two oil producers who do not cooperate. Producing oil costs $13 per barrel. What is the profit of each cartel member?There are two firms in the blastopheme industry. The demand curve for blastophemes is given by p=2100-3q. Each firm has one manufacturing plant and each firm i has a cost function C(qi)=qi2 , where qi is the output of firm i. The two firms from a cartel and arrange to split total industry profits equally. Under this cartel arrangement, what will they do if they want to maximize joint profits?.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…
