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PART TWO (10 points each, 40 points total). Answe r the following problems in the space...
Suppose there is a duopoly of two identical firms, A and B, facing a market inverse demand of ?=640−2?, and cost functions of ?? =40?? and ?? =40?? respectively. Find the Cournot-Nash equilibrium and profit for each firm. Suppose that A acts as the leader in a Stackelberg model and B responds. What are the respective quantities and profits of each firm now? Is it advantageous to move first? What are the prices, quantities and profits for the firms if...
Two firms compete as a duopoly. The demand they face is P = 100 - 3Q. The cost function for each firm is C(Q) = 4Q. Determine output, and profits for each firm in a Cournot oligopoly If firms collude, determine output and profit for each firm. If firm 1 cheats on the collusion in item 2, determine output and profit for each firm. Graph the reaction functions and identify the points from parts 1, 2 and 3. Determine output,...
The demand for soft drink is determined by the following demand function. P = 150 – Q MC = 30, FC =0 Obtain the P and Q of equilibrium and profit if the firm behaves like in perfect competition. Obtain the P and Q of equilibrium and profit if the firm behaves like in Monopoly No assumes that there are 2 firms (a and b). Obtain qa and qb if they are Cournot oligopolists . Obtain Q and P and...
Assume that two companies (A and B) are duopolists who produce identical products. Demand for the products is given by the following linear demand function: P=200−QA−QBP=200−QA−QB where QAQA and QBQB are the quantities sold by the respective firms and P is the selling price. Total cost functions for the two companies are TCA=1,500+55QA+QA2TCA=1,500+55QA+QA2 TCB=1,200+20QB+2QB2TCB=1,200+20QB+2QB2 Assume that the firms form a cartel to act as a monopolist and maximize total industry profits (sum of Firm A and Firm B profits). In...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
Two large diversified consumer products firms (Firm A and Firm B) are about to enter the market for a new pain reliever. The two firms are very similar in terms of their costs, strategic approach, and market outlook. The market demand curve for the pain reliever is given as: P = 2 – 0.000625Q where Q = QA + QB Both firms have the same constant marginal costs of production MCA = MCB = $0.50 per bottle; and fixed costs...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
Oligopoly The inverse demand curve for brimstone is given by p(Y) 116-3Y (with Y total quantity of brimstone, measured in the conventional units) and the cost function for any firm in the industry is given by TC(y)-8y (with y the output of the firm) a. Determine the industry output and price if the brimstone industry were perfectly competitive Suppose that two Cournot firms operated in the market (Firm 1 and Firm 2) Determine the reaction function of Firm 1. Do...