Suppose Firm #1 dominates a market for widgets priced at $100/unit with a marginal cost of $60/unit. If Firm #2 enters the market and offers comparable widgets at a 3% discount, extending a price umbrella optimal as long as Firm #1 loses no more than what portion of its market share?
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- Firm 1 and Firm 2 produce q1 and q2 units of a homogeneous good. Firm 1 is located upstream from Firm 2, and also produces z units of pollution. Costs for the two firms are given by: C1(41, 2) = 91 + (z – 1)? C2(42, 2) = q2 + 0.1zq2 Market demand for the good is given by P(qı + q2) = 2 – qi – 42. (a) Set up the profit maximization problem for each firm. (b) How much will firm 1 choose to pollute? (c) What are the equilibrium quantities of output chosen by each firm? (d) Suppose there is a market for pollution. That is, firm 1 must pay firm 2 Pz for each unit it pollutes. What is the equilibrium price of pollution? How much does firm 1 pollute? How do the equilibrium quantities of pollution and output in parts (b) and (c) compare to this new equilib- rium? (e) How do the equilibrium quantities of output in part (c) compare to what you would observe if pollution was banned? (f) How do the equilibrium quantities of pollution and output in parts (b) and (c) compare to what you would…Suppose 4Sisters is a patented vaccine. Her producer is facing a linear demand function for 4Sisters. She manufactures at a constant marginal cost of $20. Reports indicate that she produces 12,000 units of vaccine. She charges a unit price of $400. She is making a positive economic profit of $1,500,000. Draw a well-labelled diagram to indicate the output decision, pricing decision, economic profit, and the resultant deadweight loss in the market for 4Sisters. Indicate key figures with reference to the above given information.A city has two newspapers. Demand for either paper depends on its own price and the price of its rival. Demand functions for papers A and B respectively, measured in tens of thousands of subscriptions, are 21-2Pa + Pb and 21 + Pa-2Pb The marginal cost of printing and distributing an extra paper just equals the extra advertising revenue one gets from another reader, so each paper treats marginal costs as zero. Each paper maximizes its revenue assuming that the other's price is independent of its own choice of price. If the papers enter a joint operating agreement where they set prices to maximize total revenue, by how much will newspaper prices rise? (a) 3 (b) 2 (c) 0 (d) 3.5 (e) 2.5
- (b) Consider two firms, 1 and 2 , operating in a monopolistic competitive market. The cost functions of the firms are: TC_(1)=20+20 Q and TC_(2)=80+80Q, respectively. Would it be rational for both firms to compete in the world market, given the market demand curve of Q=100-P, and they have to bear a trade cost of $30 per unit? Explain with the help of a diagram. please give answer with compleete steps and diagram.B,C,D1. The cost function for any potential firm in a manufacturing industry is C(y) = 2 + 8y + 2y? (if a firm exits the industry, then its cost is zero). The inverse market demand function is given by P(y) = 100 – 2y. (a) If there is only one firm in the industry (the firm is a monopolist), what is the optimal output and the markup of the firm in equilibrium?
- Three electricity generating firms are competing in the market with the inverse demand given by P(Q) = 20 - Q. All %3D firms have constant marginal costs. Firm 1's marginal cost is MC = 5; it has a capacity constraint of K1 = 5 units. Firm 2's marginal cost is MC = 8; it has a capacity constraint of K2 = 2.5 units. Firm 3's marginal cost is MC = 10; it %3D has a capacity constraint of K3 = 2.5 units. A. The three firms compete in the style of Cournot. Please compute the Nash equilibrium quantities. Also compute the price in the Nash equilibrium. B. Which of these firms would have produced a larger quantity if it had a larger capacity? Please explain.A monopoly produces a good with a network externality at a constant marginal and average cost of c = $2. In the first period, its inverse demand curve is p 14-1Q. In the second period, its inverse demand curve is p=14-1Q unless it sells at least Q = 8 units in the first period. If it meets or exceeds this target, then the demand curve rotates out by a (it sells a times as many units for any given price), so that its inverse demand curve is p=14- - 1/10. The monopoly knows that it can sell no output after the second period. The monopoly's objective is to maximize the sum of its profits over the two periods. For what values of a would the monopoly earn a higher two-period profit by setting a lower price in the first period? . (round your answer to two decimal places) If a isSuppose a firm can invent a new product. That firm is the only entity in the world that can invent the product. Doing so incurs a research cost of r to be paid once in the first period. The monopoly price for this new product is 6$ per unit and the firm’s production cost after doing the research in (q^2)/2 where q is the quantity of the good produced.Time is discrete and the firm faces the same price and cost function every period. Without a patent, other firms enter the market and those firms can produce the product more efficiently, therefore without a patent, the firm makes zero profit.1) What is the value for the firm of a patent with infinite duration? Assume a discount factor b = 0. 9.2) Suppose that there is no possibility for the firm of keeping a trade secret. The research cost for that good is 30$. The government can create a patent for the good before the firm has to make a research decision. The terms of the patent cannot be changed after its creation. What is the duration…
- Economics A market comprises two consumers groups: high- demand types and low-demand types. Assume there are 100 consumers of each type. The high types have demand QH = 14 – Pand low types have demand QL = 12 – P. Assume the marginal (and average) cost is 4 and there are no fixed costs. If the monopolist firm is able to distinguish between the two consumer types and using block pricing to extract maximum profit, how much profit will they earn in total? Select one: а. 9000 b. 6800 С. 8200 d. 7200A private golf club has two types of members. Serious golfers each have the demand curve Q = 250 - 10P, where Q represents the number of rounds played per year and P is the per- round price. Casual golfers have the demand curve Q = 100 - 10P. The club has 5 serious and 60 casual golfing members and faces a constant marginal cost and average cost of $ 5 per round played by either type of member. The club cannot distinguish high demanders from low demanders but is considering deploying a 2-part tariff pricing system? Specifically, the club is considering a per-unit price of $5 and a per-unit price of $6. What should they do and what are the profits they will earn? Be very clear in how you arrive at your answer.Suppose Neu Train is the only high-speed railway between City A and City B. She operates with a cost function of C = 2,000 + 5Q2 - 500Q. Furthermore, an estimate shows that the inverse market demand for the high- speed railway between the two cities is P = 14,500 – 70Q. Calculate the profit-maximizing output level and the price of Neu Train.