Question 3 Two firms compete in a market by selling imperfect substitutes. The demand equations are given by the following equations: 9₁=50-P₁+P2 92=50-P2+P1 For now, assume that each firm has a marginal cost and average cost of 0. a. From the equations, how can you tell these goods are substitutes. How can you tell they are imperfect substitutes? b. Suppose the firms compete by simultaneously choosing price. Find the best response function of each firm as a function of the other firm's price. Compute the equilibrium price and quantity for each firm. c. Suppose firm 1 (and only firm 1) had a marginal and average cost of $10. How would the equilibrium change? How does this compare to the Bertrand result when the firms sell perfect substitutes?

Question 3 Two firms compete in a market by selling imperfect substitutes. The demand equations are given by the following equations: 9₁=50-P₁+P2 92=50-P2+P1 For now, assume that each firm has a marginal cost and average cost of 0. a. From the equations, how can you tell these goods are substitutes. How can you tell they are imperfect substitutes? b. Suppose the firms compete by simultaneously choosing price. Find the best response function of each firm as a function of the other firm's price. Compute the equilibrium price and quantity for each firm. c. Suppose firm 1 (and only firm 1) had a marginal and average cost of $10. How would the equilibrium change? How does this compare to the Bertrand result when the firms sell perfect substitutes?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter8: Perfect Competition

Section: Chapter Questions

Problem 1SCQ: Firms ill a perfectly competitive market are said to be price takers that is, once the market...

See similar textbooks

Similar questions

Suppose that the market for candles is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. PRICE (Dollars per candle) 8 2 2 3 2 8 36 32 28 24 20 4 0 0 MC 2 ATC AVC 6 4 8 10 12 14 16 QUANTITY (Thousands of candles per day) 18 20 Profit or Loss In the short run, at a market price of $20 per candle, this firm will choose to produce On the preceding graph, use the blue rectangle (circle symbols) to shade the area representing the firm's profit or loss if the market price is $20 and the firm chooses to produce the quantity you already selected. OL candles per day. a n W
Suppose the market for fresh pork is a competitive market. Initially, it is operatingat its long-run competitive equilibrium at a market price of $50.Owing to the spread of COVID-19, many people turn to buying frozen meat oncea week rather than fresh pork every day. As a result, the market price of fresh porkreduces to $30.a. With the aid of a pair of market-and-firm diagrams, illustrate how thiswould affect the equilibrium price and quantity in the fresh pork market andthe output of a typical butcher of fresh pork in the short-run.b. Suppose, for the situation in (a), the average cost of a typical butcher offresh pork is $40, which includes $15 on buying meat from suppliers, $12on paying rent, $8 on paying hourly wages on staff, and $5 on other costs.Explain whether a typical butcher should shut down in the short run.
Suppose that the market for black sweaters is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. 50 45 Profit or Loss 40 35 30 ATC 25 20 15 10 AVC 5 0 PRICE (Dollars per sweater). MC 0 2 4 6 8 10 12 14 16 20 18 QUANTITY (Thousands of sweaters per day) In the short run, at a market price of $15 per sweater, this firm will choose to produce sweaters per day. On the preceding graph, use the blue rectangle (circle symbols) to shade the area representing the firm's profit or loss if the market price is $15 and the firm chooses to produce the quantity you already selected. Note: In the following question, enter a positive number, even if it represents a loss. The area of this rectangle indicates that the firm's would be $ thousand per day in the short run.
Omari's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Omari initially produced five trucks, but then decided to increase production to six trucks. The following graph gives the demand curve faced by Omari's HookNLadder. As the graph shows, in order to sell the additional fire truck, Omari must lower the price from $160,000 to $120,000 per truck. Notice that Omari gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial five engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial five engines by selling at $120,000 rather than $160,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $120,000. PRICE (Thousands of dollars per fire engine) ARBS228882R 200 140 2 Demand 5 QUANTITY (Fire engines) $…
COURSE: MICROECONOMICS - Bertrand's ModelAssume that a market is supplied by 2 companies, whose total costs are: CTi = 100Respective demand of each is: q1 = 120 - 2p1 + p2 and q2 = 120 - 2p2 + p1It is requested to:(a) calculate the firms' profit and reaction function.(b) plot the market equilibrium price and reaction function(d) calculate equilibrium quantity produced by each firm(e) determine profits that both firms will have at equilibrium.
Suppose there are only two firms in a competitive market for a good. Firm 1's marginal cost curve is given by MC = 2.5 +0.5Q and the equation of 4+Q³. What is the equation of the - firm 2's marginal cost curve is MC supply function for this market? - a) MC = 6.5 +1.5Q⁹ b) MC = 0.33Q⁹ +3 c) Q³ = 3p - 9 d) P = 6.5 +1.5Qs
The figure below shows the supply and the demand for a good (left) and the cost curves of an individual firm in this market (right). Assume that all firms in this market, including the potential entrants, have identical cost curves. Initially, the market is in equilibrium at point A. Price 6 Cost 17 D 8 10 12 Quantity ATC O the price is $1.00 and the quantity sold is 6 units O the price is $3.00 and the quantity sold is 2 units O the price is $2.00 and the quantity sold is 2 units O the price is $2.00 and the quantity sold is 4 units Quantity Refer to the figure above. Suppose that the market has reached the long-run equilibrium. Then, due to news of the product's defects and recall, the demand falls by 2 units at each price. The market will tend toward the new long run equilibrium where
Coke and Pepsi dominate the cola market. Suppose that the marginal cost of making cola is $2. Assume also that the demand for cola is given by the following table: Price $8 7 6 5 4 3 2 1 Quantity 5 cans 6 7 8 9 10 11 12 If there were a large number of producers, so that the cola market was competitive, how many bottles of cola would be sold? Type your answer...
Suppose that the market for sports watches is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. PRICE (Dollars per watch) 100 90 80 70 60 50 40 30 20 10 0 0 MC ATC AVC + + 10 20 30 40 50 60 70 80 QUANTITY (Thousands of watches per day) 90 100 Profit or Loss ?
The accompanying graph contains individual supply curves for the only two firms in a hypothetical market for stuffed animals. Place the market supply curve at the correct location on the graph. What happens to the market if a third supplier enters the Market for Stuffed Animals 10 market, holding all else constant? Market Market supply increases. OFirm 1 and Firm 2 will lower output to accommodate the new supplier in order to keep market supply 7 constant. O Market supply decreases. O The emergence of a third supplier will result in higher prices of stuffed animals. 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 10,000 Quantity of Stuffed Animals Price per Stuffed Animal($) Firm 2
Suppose that the market for black sweaters is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. Hint: After placing the rectangle on the graph, you can select an endpoint to see the coordinates of that point. 50 45 Profit or Loss 40 35 ATC 20 15 AVC 10 MC 4 10 12 14 16 18 20 QUANTITY (Thousands of sweaters per day) In the short run, at a market price of $15 per sweater, this firm will choose to produce Sweaters per day. On the preceding graph, use the blue rectangle (circle symbols) to shade the area representing the firm's profit or loss if the market price is $15 and the firm chooses to produce the quantity you already selected. Note: In the following question, enter a positive number, even if it represents a loss. The area of this rectangle indicates that the firm's v would be$ thousand per day in the short run. PRICE(Dollars per sweater)
Suppose that the market for frying pans is a competitive market. The following graph shows the daily cost curves of a firm operating in this market. PRICE (Dollars per p) 100 90 80 70 28 899 00 50 40 30 20 10 0 0 ATC Z AVC MC 5 10 15 20 25 30 35 40 QUANTITY (Thousands of pans) Price (Dollars per pan) 25.00 70.00 100.00 45 50 For each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the graph to identify its total variable cost. Assume that if the firm is indifferent between producing and shutting down, it will produce. (Hint: You can select the purple points (diamond symbols] on the graph to see precise information on average variable cost.) Quantity (Pans) ? Total Revenue Fixed Cost (Dollars) (Dollars) 1,600,000 1,600,000 1,600,000 Variable Cost (Dollars) Profit (Dollars) If the firm shuts down, it must incur its fixed costs (FC) in the short run. In this case,…