Consider two firms facing the demand curve P=90-5Q, where Q Q₁+Q2. The firms' cost functions are and C₁ (Q1)=20+1501 C₂ (Q2) = 15+30Q2. Suppose that both firms have entered the industry. What is the joint profit-maximizing level of output? How much will each firm produce? Combined, the firms will produce ☐ units of output, of which Firm 1 will produce ☐ units and Firm 2 will produce ☐ units. (Enter a numeric response using a real number rounded to two decimal places.)
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- usiness EconomicsQ&A LibraryTwo firms A and B produce an identical product (Note: Industry Output = Q). The firms have to decide how much output qA and qB (Note: qA = Firm A Output; qB = Firm B Output) they must produce since they are the only two firms in the industry that manufacture this product. Their marginal cost (MC) is equal to their average cost (AC) and it is constant at MC = AC = X, for both firms. Market demand is given as Q = Y – 2P (where P = price and Q = quantity). Select any value for X between [21 – 69] and any value for Y between [501 – 999]. Using this information, calculate the Industry Price, Industry Output, Industry Profit, Consumer Surplus and Deadweight Loss under each of the following models: (a) Cournot Model Two firms A and B produce an identical product (Note: Industry Output = Q). The firms have to decide how much output qA and qB (Note: qA = Firm A Output; qB = Firm B Output) they must produce since they are the only two firms in…11 8. Suppose an industry produces an undifferentiated product for which market demand is given by X = A- P. There are many potential producers for this product, each of whom has a production function of the form: Fixed costs of F must be paid for being in business, and the marginal cost of a unit of production is a constant k . We imagine that firms decide whether to enter the industry under the supposition that, after all the firms that are going to enter do so, competition will be according to the Cournot model. That is, if N firms are in the market each has Cournot conjectures. An equilibrium is achieved with N firms in the industry if each firm, having its Cournot conjectures, does no worse than break even, whereas if another firm entered and made this an N + 1 firm Cournot oligopoly, all the firms would lose money. What is the equilibrium in this case? What (if anything) would be…ASAP PLZ You are the manager of Taurus Technologies, and your sole competitor is Spyder Technologies. The two firms’ products are viewed as identical by most consumers. The relevant cost functions are C(Qi) = 2Qi, and the inverse market demand curve for this unique product is given by P = 650 −3 Q. Currently, you and your rival simultaneously (but independently) make production decisions, and the price you fetch for the product depends on the total amount produced by each firm. However, by making an unrecoverable fixed investment of $1,800, Taurus Technologies can bring its product to market before Spyder finalizes production plans. (Assume Taurus Technologies is the leader in this scenario.)What are your profits if you do not make the investment? $ ____What are your profits if you do make the investment?Instructions: Do not include the investment of $1,800 as part of your profit calculation. $ ____ Should you invest the $1,800? multiple choice Yes - the benefits of establishing…
- 3. The (market) inverse demand function for a good is as follows: 12- 2q if q = [0,6], if q> 6. Pp(q) = { 12 There are two firms: N = {1,2}. Each firm's cost function is such that producing a units of the good incurs cost 2r. We consider the Cournot competition of the two firms. That is, they simultaneously choose their quantities. The firms are profit-maximizers. (1) Find a Nash equilibrium. (2) What is the size of the deadweight loss incurred by the Duopoly, compared to the competitive equilibrium allocation?wo firms A and B produce an identical product (Note: Industry Output = Q). The firms have to decide how much output qA and qB (Note: qA = Firm A Output; qB = Firm B Output) they must produce since they are the only two firms in the industry that manufacture this product. Their marginal cost (MC) is equal to their average cost (AC) and it is constant at MC = AC = X, for both firms. Market demand is given as Q = Y – 2P (where P = price and Q = quantity). Select any value for X between [21 – 69] and any value for Y between [501 – 999]. Using this information, calculate the Industry Price, Industry Output, Industry Profit, Consumer Surplus and Deadweight Loss under each of the following models: (a) Cournot Model error_outlineHomework solutions you need when you need them. Subscribe now.arrow_forward Question Two firms A and B produce an identical product (Note: Industry Output = Q). The firms have to decide how much output qA and qB (Note: qA =…2. Consider an industry with two firms producing an identical product. Let q₁ be the output for firm 1, 92 for firm 2, and Q = 91 +92. In each period, market demand is given by P 40 Q and the firms compete à la Cournot. There is a sequence of infinitely many periods. Both firms have cost function of c(q) = 5q, and discount future profits with discount factor ß = [0, 1). = (1) If both firms form a cartel, what are the quantity and profit of each firm? (2) Suppose that the collusive firms adopt a trigger strategy. That is, each firm competes in Cournot fashion if any deviation from collusive q has been observed. If ß = 0, what is firm 1's best response to firm 2 playing the cartel quantity? (3) Explain how your answer to part (2) changes as 3 increases. Find the threshold of B, below which the cartel is not sustainable.
- 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.A computer hardware firm sells both laptop computers and printers. Through the magic of focus groups, their pricing team determines that they have an equal number of three types of customers, and that these customers' reservation prices are as illustrated in the figure below. Bundle Laptop $700 $950 $600 Printer Customer A $100 $150 $50 $800 $1,100 $650 Customer B Customer C Assume for simplicity the marginal cost of production for laptops and printers is zero. If the firm were to charge only individual prices (not use the bundle price), what prices should it set for its laptops and printers to maximize profit? Assuming for simplicity that the firm has only one customers of each type, how much does it earn in total? To maximize profit using individual prices, the firm should charge a price for laptops of and a price for printers of p=: (Enter your responses as whole numbers.)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.
- Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is x = 88 – p, thousand units and the demand for brand 2 is y = 98 – p, %D thousand units, where p, and p, are prices in dollars. If the joint cost function is C = xy, in thousands of dollars, how many of each brand should be produced to maximize profit? brand 1 thousand units brand 2 thousand units What is the maximum profit? thousand dollars Need Help? Read It Watch ItThere are only two driveway paving companies in a small town, Asphalt, Inc. and Blacktop Bros. The inverse demand curve for the services is ? = 2040 − 20?where quantity is measured in pave jobs per month and price, in dollars per job. The firms have an identical marginal cost of $200 per driveway. If the two firms collude, splitting the work and profits evenly, how many driveways will each firm pave, and at what price? How much profit will each firm make? Does Asphalt have an incentive to cheat by paving one more driveway each month? Show it numerically.In the aeronautical market, Boing and Airbus constitute a duopoly in the production of large airplanes. The American firm has the following cost structure C(qa) = 20 + 39a + qả, and the European firm, C(qe) 150 – P, answer the following questions. = 50 + qe + q?. If the market demand for large airplanes is given by Qp = 9a + qe = a) Interpret the cost structures of both firms b) What would be the equilibrium (quantity, price, and profit) if firms compete by quantity as in Cournot and interpret your answer. c) If they decide to form a cartel, what are the new quantities, prices, and profits? Interpret your answer using the Game Theory insights. d) Calculate now what would happen if Airbus is the leader (Stackelberg model) in terms of quantity, price, and profit and interpret your outcomes.