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- Suppose two firms compete as Bertrand duopolists for an identical product, where demand is given by Q = 5000 – 50P and both firms have marginal cost of 10 per unit of output. If firm 1 has capacity of 1500 and firm 2 has capacity of 2000, what will the equilibrium price be in this market?Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 - 3Q and each firm has a constant marginal cost MC=10. The market price of equilibrium and total quantity in the market is: Select one: O a. P* 30 and Q* = 20 O b. P* 40 and Q* = 20 ○ C. P* 40 and Q* = 30 d. P20 and Q* = 30If the inverse demand for bean sprouts were given by P(Y) = 430 − 2Y and the total cost of producing Y units for any firm were TC(Y) = 10Y and if the industry consisted of two Cournot duopolists, then in equilibrium each firm's production would be
- 5. Tom is a monopolist input supplier to Dick and Harry. Tom's marginal cost is 1. Dick and Harry are duopolists with production function q x/2 No firm has fixed costs. The demand for the final product is given by Q 100-p. a) Assume Dick and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set? d) Now suppose Dick could buy Tom's firm and stop supplies of the input to Harry so that Dick would be a monopolist. How much is Dick willing to pay for Tom's firm? e) How much is Tom willing to sell his firm for?Two firms are engaged in Cournot (simultaneous quantity) competition. Market-level inverse demand is given by P = 160 − 4Q Firm 1 has constant marginal costs of MC1 = 8, while Firm 2 has constant marginal costs of MC2 = 24. 1) Does there exist a low enough positive marginal cost for firm 1 such that firm 1 acts like a monopoly in this market, if so what is the MC if not why?On a diagram whose axes are the quantities produced by two identical Cournot oligopolists and compare them with a perfect price-fixing agreement that splits the monopoly profits between them. Then in the same diagram show the Stackelberg equilibrium output with one firm a leader and the other a follower. Compare it with the previous two situations.
- please explain in stepsAssume that a local train station has a monopoly over train rides. The firm has estimated that its market demand curve can be drawn from the following equation P = 60 - (1/2) Q. Let MC AC = 15. The firm has determined that younger consumers (under 50) are willing to pay up to $30 per ticket for a train ride and that older consumers (50 or older) are willing to pay up to $50 per ticket for a train ride. If the firm price discriminates what is their profit?Consider a Cournot duopoly. The market demand function is P = 112-1(q1 + q2), where P is the market price, q1 is the output produced by Firm 1 and q2 is the output produced by Firm 2. The two firms have a constant marginal cost c = 17. What is Firm 2's profit ? Round your answer to the nearest integer (e.g. 50)
- Assume that the market demand and the costs of the duopolists are: P=120-0.4(QA + QB) TCA=5QA TCB= 0.2Q2B Also assume that firm B is the sophisticated leader, Determine: a. The reaction curve of A ,the reaction curve of B and the profit function of A b. Stackelberg equilibrium output level for firm A and Stackelberg equilibrium output level for firm B c. The market priceProfit maximization and loss minimization BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market. Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. Suppose that BYOB charges $2.75 per can. Your friend Rajiv says that since BYOB is a monopoly with market power, it should charge a higher price of $3.00 per can because this will increase BYOB’s profit. Complete the…A monopolistic producer of two goods, 1 and 2, has a joint total cost function TC=10Q1+Q1Q2+10Q2 where Q1and Q2 denote the quantity of items of goods 1and 2, respectively that are produced. If P1 and P2 denote the corresponding prices then the demand equations are P1=50-Q1+Q2 P2=30+2Q1-Q2 Using the Lagrange multiplier approach, find the maximum profit if the firm is contracted to produce a total of 15 goods of either type. Estimate the new optimal profit if the production quota rises by 1 unit.