The inverse market demand curve is P(Y) = 365-2Y, where Y = YA+YB, and the total cost function for any firm in the industry is TC(y) = 5y + 10. Assume there are two firms, A and B, and they follow the Cournot model behavior. What would be the equlibrium output for firm A? Answer is an integer.
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- In the Cournot equilibirum, what is the market price and units produced by firm 1 and firm 2?Suppose Giocattolo of Italy and American Toy Company of the United States are the only two firms producing toys for sale in the U.S. market. Each firm realizes constant long-term costs so that the average total cost (ATC) equals the marginal cost (MC) at each level of output. Thus, MCo = ATCO is the long-term market supply schedule for toys. Suppose Giocattolo and American Toy Company operate as competitors, and the cost schedules of each company are MCo = ATCO = $10. On the following graph, use the grey point (star symbol) to identify the competitive market equilibrium. Then, use the green triangle (triangle symbols) to identify consumer surplus in this case. Note: Select and drag the point from the palette to the graph. Dashed drop lines will automatically extend to both axes. Then select and drag the shaded region from the palette to the graph. To resize the shaded region, select one of the points and move to the desired position. ? PRICE (Dollars per toy) 20 18 16 14 10 00 6 4 2 0…There are two identical firms in an industry, 1 and 2, each with cost function , i = 1,2. The industry demand curve is P = 100 − 5X where industry output, X, is the sum of the two firms’ outputs (X1 + X2). (a) If each firm makes its output decisions on the assumption that the other will not react to its choices (the Cournot assumption), what is the equilibrium output for each firm? What is the equilibrium price? (b) Suppose that each firm takes it in turn to choose its level of output, on the assumption that the other’s output level is fixed. Would the process of adjustment be stable? (c) Suppose that firm 1 introduces a cost-saving innovation, so that its cost curve becomes C1 = 8X1. Firm 2’s cost curve and the industry demand curve are unchanged. What happens to the equilibrium quantity produced by each firm and to market price?
- Answer 1, 2 and 3, see the question properly.The total cost function of one of the firms is expressed by C(Q) = 100 + 4Q2, and demand is P = 80 – 4Q Find the equilibrium price and total quantity that the industry produces. Suppose that Jollibee successfully acquired McDonalds through a hostile takeover. What would be the new equilibrium price and quantity if MR = 80 – 4Q? Is this hostile takeover beneficial?Consider the following model of Cournot competition with fixed cost. There are two identical firms, and the inverse demand function is given by 5. P(q1, 42) 19 – (q1 + 92). Firms have constant marginal cost, but any firm operating in this market (that is, q; > 0) must pay a license fee F. In particular, firm i's cost function is if qi = 0 c:(4;) = { F+4 if qi > 0. (a) Derive the firms' best response functions. (b) For what values of F, if any, will there be a symmetric (pure) Nash equilibrium in which firms produce a positive quantity? What is the Nash equilibrium in that case? (c) For what values of F, if any, will both firms shutting down be the Sy anmetric (pure) Nash equilibrium?
- Three firms with identical marginal cost of 30 compete in a market with inverse demand of P = 50 - 8Q. If the firms behave as the Cournot model suggests, what is the pass through rate for a change in marginal cost?Suppose that firms A and B have the same product in the same market, where Qd = Qa + Qb = 300 - 2p is demand And the firms have a simple cost curves of TCa = 5Qa and TCb = 10Qb Find Cournot Equilibrium & Find the Stackelberg equilibrium if A is the leader Thank you!A large number of firms enter the Swedish market for the game Padel. For simplicity assume that they all act as price takers and let the cost function for each of them be given by C(q)=1000+0.4*q² where q is the number of customers served. a) In the long run free entry should drive profit to zero. At this point p=MC=ATC. Intuitively why is this the case? b) The condition in c) implies that in a free entry equilibrium with firms that have the same cost function each firm's production will be given by the lowest point in the average total cost curve. How much does each firm produce in the free entry equilibrium? What is price in this equilibrium? (Hint: You can either differentiate the expression for average cost to determine its minimum or you can look for the minimum point using your graph in b). c) Assume that overall demand is given by Q-1200-2*P. How many firms will there be in equilibrium?
- Two firms, A and B, sell the same good X in a market with total demand Q = 100 – P. The two firms compete on quantities and decides how much to produce simultaneously. Firm A cost function is C(qA) = 40qA. Firm B cost function is C(qB) = 60qB. 1. Find the best reply functions of both firms and represent them in a graph. 2. Find the quantity produced by each firm in a Nash equilibrium. 3. Find the firms and consumers surplus. 4. Compare the surplus of firms found above with the surplus arising when both firm cooperate to sustain a monopoly outcome. 5. Assume now that A and B compete as in a Stackelberg model. A chooses first and B chooses after observing the choice of A. Find equilibrium quantities produced by each firm and the market equilibrium price.Consider the Bertrand model and answer the question below related to the content. Assume that each firm in the Bertrand Duopoly model can only choose non-negative integer quantities: 0, 1, 2, ... . Assume the demand is Q(P)=10-P and the marginal cost is 0 for each firm. Given this information, which of the following is FALSE? [Hint: Check values of profit functions.] A. If firm 2 sets price equal to 1, then the best response of firm 1 to this price is 1 B. If firm 2 sets price equal to 4, then the best response of firm 1 to this price is 4 C. If firm 2 sets price equal to 2, then the best response of firm 1 to this price is 1Firm A and Firm B are the only two firms in a market where price is determined by the inverse demand function: P = 147 - Q. Q is the sum of Firm A and Firm B's output, so Q = 9A + 9B Firm A's total cost function is given by TCA(9A) = 39A Firm B's total cost function is given by TCB(9B) = 89B If these firms Cournot compete (simultaneously setting quantities), what will market price be when both firms are maximizing profits in equilibrium? (Note: The answer may not be a whole number, so round to the nearest hundredth)