Suppose a firm faces the inverse demand curve, P = 100 - Q. Marginal cost is constant at $10. Suppose the firm uses block pricing, selling the first 45 units at $55 per unit, the next 20 units at $35 per unit, and the next 20 units at $15 per unit. The deadweight loss in this case is $_______

Suppose a firm faces the inverse demand curve, P = 100 - Q. Marginal cost is constant at $10. Suppose the firm uses block pricing, selling the first 45 units at $55 per unit, the next 20 units at $35 per unit, and the next 20 units at $15 per unit. The deadweight loss in this case is $_______

Survey of Economics (MindTap Course List)

9th Edition

ISBN:9781305260948

Author:Irvin B. Tucker

Publisher:Irvin B. Tucker

Chapter9: Monopolistic Competition And Oligoply

Section: Chapter Questions

Problem 20SQ

See similar textbooks

Similar questions

Two firms produce goods that are imperfect substitutes. If firm 1 charges price p1 and firm 2 charges price p2, then their respective demands are q1 = 12 - 2p1 + p2 and q2 = 12 + p1 - 2p2 So this is like Bertrand competition, except that when p1 > p2, firm 1 still gets a positive demand for its product. Regulation does not allow either firm to charge a price higher than 20. Both firms have a constant marginal cost c = 4. (a) Construct the best reply function BR1(p2) for firm 1. That is, p1 = BR1(p2) is the optimal price for firm 1 if it is known that firm 2 charges a price p2. Construct a Nash equilibrium in pure strategies for this game. Are there any Nash equilibria in mixed strategies? If yes, construct one; if no provide a justification. (b) Notice that for any given price p1, firm 1’s demand increases with p2, so firm 1 is better off when firm 2 charges a high price p2. What is the best reply to p2 = 20? What is the best reply to p2 = 0 (c) What prices for firm 1 are…
Two firms produce goods that are imperfect substitutes. If firm 1 charges price p1 and firm 2 charges price p2, then their respective demands are q1 = 12 - 2p1 + p2 and q2 = 12 + p1 - 2p2 So this is like Bertrand competition, except that when p1 > p2, firm 1 still gets a positive demand for its product. Regulation does not allow either firm to charge a price higher than 20. Both firms have a constant marginal cost c = 4. (a) Construct the best reply function BR1(p2) for firm 1. That is, p1 = BR1(p2) is the optimal price for firm 1 if it is known that firm 2 charges a price p2. Construct a Nash equilibrium in pure strategies for this game. Are there any Nash equilibria in mixed strategies? If yes, construct one; if no provide a justification. (b) Notice that for any given price p1, firm 1’s demand increases with p2, so firm 1 is better off when firm 2 charges a high price p2. What is the best reply to p2 = 20? What is the best reply to p2 = 0 (c) What prices for firm 1 are…
Assume that annual inverse demand for a particular product is P=150-Q. The product is offered by a pair of Bertrand competitors, each with marginal costs of $75. The discount factor is 0.9. What is the current equilibrium price and total surplus? Now, assume though that if R&D is conducted at rate x, it incurs one-off costs of r(x)=10x^2 and reduces the marginal costs to (75-x). Suppose that one firm decides to conduct R&D at rate x=10. This research will be protected by a patent of T years. a) What profit(ignoring the one-off costs of R&D) does the innovating firm make each year during the period of patent protection? b) What is the new equilibrium price and total surplus once patent protection expires? c) Use your answer above to write the total surplus from the innovation
Three firms sell identical products in a market with inverse demand given by P(Q) = 590 - 4Q, where Q = q1 + q2 + q3, i.e., the sum of all quantities produced by all three firms. Each firm has a constant marginal cost of production MC = 18 and no fixed cost. Firm 1 chooses q1 first. Firms 2 and 3 simultaneously choose q2 and q3 after observing q1. Calculate the subgame perfect equilibrium profit of firm 2.
Asap Three electricity generating firms are competing in the market with the inverse demand given by P(Q) = 20-Q. All 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 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.
Consider a 3 firm market in which firms sell differentiated products. Assume that firm A has a 50% market share and the firms B and C both have 25% market shares. Assume further that firms B and C have marginal costs equal to 2, and that firm A has a marginal cost of 1. Assume all firms have an own price elasticity of demand equal to -2, and that the diversion ratio between the firms B and C equals -.2. Suppose that firms B and C announce that they want to merge. a. What is the profit maximizing price for firms B and C before the merger? b. How much will the merger increase the prices charged by firms B and C? c. Suppose that firms B and C argue that the merger will reduce their marginal costs from 2 to 1. What would be the effect of the merger on their prices if their costs fall to 1?
There are two sellers who compete by choosing quantity (Cournot). The inverse demand is P = 120 − Q. Each firm’s cost is 30Q. There are no fixed costs. In this market, firms decide how much to produce, and then the price is determined by the market (think of fishing boats, for example). Suppose that Firm 2 produces 30. Then the inverse demand facing Firm 1 is P = 120 − 30 − Q1 = 90 − Q1. This implies that Firm 1’s marginal revenue is 90 −2Q1. How much will Firm 1 produce to maximize its profits? Suppose that Firm 1 produces 30. Then the inverse demand facing Firm 2 is P = 120 − 30 − Q2 = 90 − Q2. This implies that Firm 2’s marginal revenue is 90 −2Q2. How much will Firm 2 produce to maximize its profits? If both firms produce 30, what are both firms’ profits? Suppose the buyers in this market proposed that the firms compete in a price game rather than a quantity game. For example, they might suggest that sellers compete in a price auction before production takes place. The winner…
Two profit-maximising firms-firm 1 and firm 2-produce an identical good at no cost and simultaneously choose their prices, which must be between 0 and 1. That is, firm 1 chooses P1 contained in [0, 1] and firm 2 chooses p2 contained in [0, 1] (i.e., 0 ≤ p1, p2 < 1). If p1< p2, the cheaper firm gets a demand of 1 and the more expensive firm gets a demand of 0. If P1 = P2, each firm gets a demand of 0.5. Firm 1 has a capacity constraint x contained in [ 0,1 ]but firm 2 has no capacity constraint. Therefore, the demands are (Q1,Q2) =( (х, 1 -х) (min{x, 0.5}, max{1 - x, 0.5}) ( (0,1) if p1 <p2 if P1 = p2 if p1 > P2. For any capacity constraint x contained in (0,1) (i.e., 0 < x < 1), find all Nash equilibria of that game. Suppose now that each firm can only choose among three possible prices: 0, 0.5, and 1; that is p1, p2 € {0,0.5, 1}. For any capacity constraint x € (0, 1) (i.e., 0 < x < 1), find all Nash equilibria of that game. Repeat parts (a) and (b) for the…
Firms often price their products by “marking up” a fixed percentage over average cost. To investigate the consequences of markup pricing, consider a single firm that faces the demand Q = 90 − P, for P ≤ 90. The firm’s TOTAL cost function is C(Q) = 20Q. In this example, would a 50% markup lead to a more or less efficient outcome than the profit maximizing rule in part Q3.2? How do you define efficiency? Explain.
Consider a market with two horizontally differentiated firms, X and Y. Each has a constant marginal cost of $20. Demand functions are: Qx =100−2Px +1Py Qy =100−2Py +1Px Calculate the Bertrand equilibrium in prices in this market. How will the equilibrium change if cross-price elasticities of demand increase by 20%? How would you alter the equations to show such an increase? Compute the new equilibrium
Consider an industry with only two firms: firm A and firm B. The industry’s inverse demand is P(Q) = 400 − 1/10Q where P is the market price and Q is the total industry output. Each firm has a marginal cost of $10. There are no fixed costs and no barriers to exit the market. Suppose the two firms engage in Stackelberg competition, with firm A moving first, and firm B moving second. Find the equilibrium price in the industry, the equilibrium outputs, as well as the profits for each firm
According to International Data Corporation (IDC), the number of worldwide smartphone owners will soon exceed 1.5 billion. That number is expected to grow at nearly 10 percent per year for the next five years. While the actual cost of a smartphone is about $300, wireless carriers in some countries offer their customers a “free” smartphone with a two-year wireless service agreement. Is this pricing strategy rational? Explain