21. In the industry, only two firms (Firm 1 and Firm 2) operate and they produce a homogenous good. They collude: they maximize their joint profit and split it equally between them. Firm I has the total cost of producing q; units of output given by the function TC(q)-8q1. The total cost of producing q: units of output for Firm 2 is TC(q)-q. Only integer quantities are allowed (no fractions). The market demand for the good is Q(P)-72-P, where Q is the quantity demanded and P is the unit price of the good. How many units of the good do each firm produce in the equilibrium? A. Each firm produces 14 units. B. Firm I produces 32 units, and Firm 2 produces 2 units. C. Firm 1 produces 28 units, and Firm 2 produces 4 units. D. Each firm produces 16 units. E. None of the above

21. In the industry, only two firms (Firm 1 and Firm 2) operate and they produce a homogenous good. They collude: they maximize their joint profit and split it equally between them. Firm I has the total cost of producing q; units of output given by the function TC(q)-8q1. The total cost of producing q: units of output for Firm 2 is TC(q)-q. Only integer quantities are allowed (no fractions). The market demand for the good is Q(P)-72-P, where Q is the quantity demanded and P is the unit price of the good. How many units of the good do each firm produce in the equilibrium? A. Each firm produces 14 units. B. Firm I produces 32 units, and Firm 2 produces 2 units. C. Firm 1 produces 28 units, and Firm 2 produces 4 units. D. Each firm produces 16 units. E. None of the above

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

onsider a homogenous good industry with four firms. Total demand is given by D(p)=200-p.The variable (=marginal) cost of each of the firms is c1=10, c2=20, c3=30 and c4=35. Firms compete in prices. Suppose firms 1 and 2 merge into one entity and produce with a marginal cost of 15. Which of the following statements is correct? After the merger, total welfare increases by $500. After the merger, total welfare decreases by $500. After the merger, total welfare increases by $1000. After the merger, total welfare decreases by $1000. None of the above.
2. An industry contains two firms and the inverse demand function for the firms' output is P-180-30, where Q is the total output Suppose that firm I's cost and marginal cost functions are C(q)- 30q; and MC(q)-30, while firm 2's cost and marginal cost functions are C(q)-q² and MC(q)-2q2 a. Determine each firm's Nash equilibrium output. b. Determine each firm's profit at the Nash equilibrium output.
7. A honey farm is located next to an apple orchard and each acts as a competitive firm. Let the number of apples produced be measured by A and the amount of honey produced by H. The cost functions of the two firms are CH (H) = H²/100 and C₁(A)=4-H. The price of honey is £2 and the price of apples is £3. 100 a. If the firms operate independently, what is the equilibrium number of apples and amount of honey produced? Are these amounts the Pareto-efficient? Explain. b. Suppose the two firms merge. What is the profit maximising amount of apples and honey that the merged firm produce? Explain. c. What is the socially optimum amount of honey and apples? Discuss methods to induce the independent firms to produce the socially optimal number of apples and amount of honey. Explain.
Consider the weekly market for gyros in a popular neighborhood close to campus. Suppose this market is operating in long-run competitive equilibrium with many gyro vendors in the neighborhood, each offering basically the same gyros. Due to the structure of the market, the vendors act as price takers and each individual vendor has no market power.
please help me with the last question. Thank you
1. Consider a market where there are only two firms that produce a homogeneous product. The two firms face the direct market demand curve given Q = 15-p, where Q = 9₁ +92 and 9₁ and q2 are the quantities of firm 1 and firm 2, respectively. Suppose firm 1's total cost is C₁ = 9₁ and firm 2's total cost function is C₂ = 2q2. Suppose that the two firms act independently and choose their outputs simultaneously as in the Cournot model. Show the basis and briefly explain what is going on as you answer each of the following questions. Your mark will depend upon the correctness of your basis and explanation. 1. What is the equation of the demand curve faced by firm 1? What is the equation of the demand curve faced by firm 2? Find the output reaction function of each firm. 2. 3. Find the Nash-Cournot equilibrium quantity that each firm will produce. 4. At the Nash-Cournot equilibrium, at what price does each firm sell its output? 5. Find the consumer surplus, producer surplus at the…
Economics: Industrial Economics Question: In a market that operates under quantity competition there are 2 firms (Cournot duopoly). The inverse demand function is P = A - B Q. The cost structure of firm 1 is given by C1(q1) = F1 + c1 q1 and that of firm 2 is given by C2(q2) = F2 + c2 q2. Prior to competing, the two firms can engage in research at levels (x1, x2) respectively in order to lower their marginal costs. As a result, marginal costs are c1 = c - x1 - β2x2 and c2= C - x2 - β1 X1. where β1 = β2 > ½. Finally, the research costs are F1 = a1 (x1)^2 /2 and F2 = a2 (x2)^2 /2, where a1 > 0 and a2> 0. 1. The Nash Equilibrium research levels are Choices: A. Higher than the cooperative research levels for both firms. B. Higher than cooperative research levels for firm 1 but lower for... C. Lower than the cooperative research levels for both firms. D. Higher than cooperative research levels for firm 2 but lower for... 2. An increase in the value of a2 would Choices: A.…
Hand written solutions are strictly prohibited
5
5. N - Σ Consider a Cournot model in which N firms compete with each other by setting quantities. The market inverse demand function is P = a i=1 qi, where a > 0 and q; is the quantity of firm i. Firm i's cost function is quadratic: q, where c₂ > 0. (a) Suppose N 2. Find the Nash equilibrium. Show which firm produces more in the equilibrium and explain your result. (b) = Suppose N≥ 2 and ci = c for all i. Find the Nash equilibrium. Show whether the firms produce more or less than the constant marginal cost case where the cost function is cqi, with a>c>0.
2
8. Two firms competing a la Hotelling with fixed locations and symmetric constant marginal costs. Suppose there is a line between 0 and 1 in which two rms locate themselves, firm 0 being at point xo = 0 and firm 1 being at point x1 = 1. Each firm has a linear cost function C (q.) = cq.where q.represents output level of firm/product i = 0,1, parameter is such that c > 0. Consumers are located between 0 and 1 and are distributed uniformly according the the graph %3D below. 1 Вyyx from 0 Buy from 1 x* 1 Consumers value the product firm i = 0,1 in r¡ > 0 and incur a disutility from travelling to the location of the product which is assume to be a linear function of distance. The mass of consumers is normalized to 1 since that is the area in the graph. Indirect utility function for consumers is then V (rip;x) = ri -t|Xj. X|- p; where p; denotes the price of product/ firm i = 0,1 and x is the consumer (point) that is located in the line between 0 and 1. Each consumer wants at most one unit…