Consider the model of Bertrand competition with linear demand Q(p) = max[0, a – p) and with two- %3D firms, in which demand is split if the same price is set. Suppose linear demand with a = 8, and constant cost c = 3 per unit, suppose Firm 1 chooses price pi = 7 and firm 2 chooses price p2 = 6. Which of these prices p would be a profitable deviation from pi for Firm 1? 02 3 06 07 Suppose now a = 16, and constant cost c = 8 per unit, if p2 = 14, what is the best-response for Firm 1? 14

Consider the model of Bertrand competition with linear demand Q(p) = max[0, a – p) and with two- %3D firms, in which demand is split if the same price is set. Suppose linear demand with a = 8, and constant cost c = 3 per unit, suppose Firm 1 chooses price pi = 7 and firm 2 chooses price p2 = 6. Which of these prices p would be a profitable deviation from pi for Firm 1? 02 3 06 07 Suppose now a = 16, and constant cost c = 8 per unit, if p2 = 14, what is the best-response for Firm 1? 14

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.4P

See similar textbooks

Similar questions

Brand X is one of many firms in a competitive industry where each firm has a constant marginal cost of 2 dollars per unit of output. If marginal cost for Brand X rises to 4 dollars per unit and marginal costs of all other firms in the industry stay constant, by how much does the price in the industry increase? a. 2 dollars b. 1 dollar c. 0 dollar d. 2/n, where n is the number of firms in the industry e. None of the above.
The Zinger Company manufactures and sells a line of sewing machines. Demand per period (Q) for a particular model is given by the following relationship:Q = 400 − .5Pwhere P is price. Total costs (including a "normal" return to the owners) of producing Q units per period are:TC = 20,000 + 50Q (a) Express total profits (π) in terms of Q. (b) At what level of output are total profits maximized? What price will be charged? What are total profits at this output level? (c) What model of market pricing has been assumed in this problem? Justify your answer.
Answer the given question with a proper explanation and step-by-step solution. Suppose inverse demand is given by the following: P = 40 - 0.5Q There are two firms each with the same marginal cost. Marginal Cost is 10. Under Cournot competition, what is the output for firm one? 10 20 25 30
The market demand and supply function for Pizza in New Town were: Qd = 10,000 – 100P Qs = - 2,000 + 100P A. Determine the equilibrium price and quantity of the Pizza. B. Plot the market and demand curves, label the equilibrium point E, and draw the demand curve faced by a single Pizza shop in this market on the assumption that the market is perfectly competitive. Show also the marginal revenue of the firm on the figure. C. If the total cost function of the firm is TC = 500 + 2Q + Q2, determine the price-quantity combination that will maximize the firm’s profit. D. Determine the profit. What adjustments should be anticipated in the long run?
Under perfect competition, each firm is a price taker. Suppose a single seller in the wheat market. The company produces and markets wheats at a Price = $38 per container. The firm’s total costs are given as: TC = 10 +2Q + 3Q2 A. Find the Firm’s marginal cost? Show your steps, including graphs. Review additional resources? Hint: See the rules for differentiation B. is the firm’s demand curve? Show it on a graph and label the axes showing P and Q C. What level of output should the firm produce? Hint: Set P = MC and solve for Q. Use a graph to show your answers as well D. What is the firm Fixed Cost? Why? Also, use a graph to support your answer. E. What price should the firm charge? Why?
Consider a competitive industry with a large number of firms, all ofwhich have identical cost functions c(y) = y2 + 1 for y > 0 and c(0) = 0. Supposethat initially the demand curve for this industry is given by D(p) = 52 − p.(a) What is the supply curve of an individual firm?(b) If there are n number of firms, what is the industry supply curve?(c) What is the smallest price at which the product can be sold?(d) Based on your answers to parts (a)-(c), explain in detail theequilibrium points based on the market activity with respect to the price, firmand industry.
Suppose two firms face market demand of P=150-Q, where . Both firms have the same unit cost of C, which consist of your student number a plus 20 (i.e. if your student number a=3, then cost C=20+3=23). Assume the firms compete a la Stackelberg. Firm 1 is the leader and Firm 2 is the follower in this market. What is the follower’s total revenue function? Determine the equilibrium output level for both the leader and the follower. Determine the equilibrium market price. Determine the profits of the leader and the follower.
Use this information for this and the next question: The market inverse demand curve is given by P(Q) = 100 - 0.02Q, where Q is the total output in the industry. The dominant firm in this industry has costs given by TC(q) = 40q. In addition, there are 25 small firms. These firms are known as the 'competitive fringe' of the market. These small firms all take as given the price established by the dominant firm in the industry. All small firms have the same cost function: TC = 60q + q2. If the dominant firm's quantity is 1000 units, the market price will be a) 80 B) 70 C) 75 D) 85 E) None of the above
Suppose two firms face market demand of P=150-Q, where . Both firms have the same unit cost of C, which consist of your student number a plus 20 (i.e. if your student number a=3, then cost C=20+3=23). Assume the firms compete a la Stackelberg. Firm 1 is the leader and Firm 2 is the follower in this market. 1.What is the follower’s total revenue function? 2.Determine the equilibrium output level for both the leader and the follower. 3.Determine the equilibrium market price. 4.Determine the profits of the leader and the follower.
The market inverse demandfor salt is P(Q) = 1000−10Q. There are n firms producing salt, each with the sameconstant marginal cost c. Show that as n increases, the market gets closer to efficiency.
Suppose two firms face market demand of P=130-Q, Both firms have the same unit cost of 30. Assume the firms compete a la Stackelberg. Firm 1 is the leader and Firm 2 is the follower in this market. What is the follower’s total revenue function? Determine the equilibrium output level for both the leader and the follower. Determine the equilibrium market price. Determine the profits of the leader and the follower.
Consider two gas stations in a remote village facing the simple linear market demand Q = 300 - 5P, but have different marginal costs of production, both constant, such that MCx = 20 and MCy = 10. Find: if gas station y decided to produce 175 units, (a) what would be the reaction of gas station x, and (b) how would y, in turn, react to that level of output of x?