Firms 1 and 2 produce a homogeneous product in the market, with market demand Q=200-p. Each firm i ci=1, 2) has the cost function C(O₂) = 40 +20 Q₂, where Qz is firm i's output. ltat (a). What is the Cournot equilibrium output per firm and price in this market? youb). What would the equilibrium price in this market be if the two firms collude to xe Set outputs to maximize total industry profits? (C). Suppose firm I is the leader and chooses output first, while firm 2 is the

Firms 1 and 2 produce a homogeneous product in the market, with market demand Q=200-p. Each firm i ci=1, 2) has the cost function C(O₂) = 40 +20 Q₂, where Qz is firm i's output. ltat (a). What is the Cournot equilibrium output per firm and price in this market? youb). What would the equilibrium price in this market be if the two firms collude to xe Set outputs to maximize total industry profits? (C). Suppose firm I is the leader and chooses output first, while firm 2 is the

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

3
2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 0.5q; the demand function for the firms' output is Q = 1.5 - p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 0.5 (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…
Suppose the iceberg lettuce industry is a Cournot duopoly with two firms: Xtra Leafy (a) and Yummy Farms (y). Xtra Leafy produces q units of output and Yummy Farms produces qy units of output. Aggregate market output is Q = x + y. The (inverse) market demand schedule is: p = 176 - 2Q Both firms have identical cost structures: MC = MC₁ = ATC₂ = ATC₁ = $12 Find Xtra Leafy's Cournot reaction function of the form: 9x = a + bay Where "a" is the reaction function's intercept and "b" is its slope. Note: Please review the formatting instructions above. If any value is negative, be sure to include its negative sign. a. a= b. b = Hint: One of your answers will be negative. Think about why.
1 Consider two identical firms with a unit cost of production of $10 and a market demand of p= 60-y. (a) What is firm 1’s optimal output level as a function of firm 2’s output? (b) What is firm 2’s optimal output level as a function of firm 1’s output? (c) What is the Cournot equilibrium output level for these firms? (d) What is the Cournot equilibrium price level? Show your work step by step.
1.7. In Section 1.2.B, we analyzed the Bertrand duopoly model with differentiated products. The case of homogeneous products
4.12
cost function is c(y) An industry has two firms. Firm 1's cost function is c(y) = 3y + 200 and firm 2's 3y + 100. The demand curve for the output of this industry is a downward-sloping straight line. In a Cournot equilibrium, where both firms produce positive amounts of output: = The firm with higher fixed costs produces more. Both firms produce the same amount of output. There is less output than there would be if the firms colluded to maximize joint profits. It is not possible to tell because the demand function is not specified. The firm with lower fixed costs produces more.
cost function is c(y) An industry has two firms. Firm 1's cost function is c(y) = 3y + 200 and firm 2's 3y + 100. The demand curve for the output of this industry is a downward-sloping straight line. In a Cournot equilibrium, where both firms produce positive amounts of output: = The firm with higher fixed costs produces more. Both firms produce the same amount of output. There is less output than there would be if the firms colluded to maximize joint profits. It is not possible to tell because the demand function is not specified. The firm with lower fixed costs produces more.
solve 3 blanks
Plz solve this.
Initially there are six firms producing differentiated products. The demand function for the good produced by firm i, i=1,2..,6, is given by qi = 10-2pi+0.3 summation pj where the sum is taken over the five prices other than firm i. Each firm has the same marginal cost c. The firms choose prices simultaneously; that is, they are differentiated products Bertrand competitors. (a) Solve for the symmetric Nash equilibrium prices. (b) Suppose that you observe each firm to set a price of 4.8. What must c be? (c) Suppose that two of the six firms merge to become a single firm. The firm continues to produce both goods. Using the marginal cost you found in (b), derive the new post-merger Nash equilibrium prices.
1. marginal costs e, = c, = c, = 20. The inverse demand function is given by P = 100 - Q. where Q = q, + 4: + 93- Consider a market with three firms (i - 1, 2, 3). which have identical a) Identify the reaction functions for each firm and compute the Cournot equilibrium, i.e., the market price and quantity. b) What happens to the market price if all three firms merge compared to part (a)?