If two identical firms with marginal cost 5 and demand curve P=70-20 compete using the Cournot model, find price Select one Oa 4167. Ob 17 66 OC4 Od 194
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A: Given, Marginal cost= 5 P=70-2Q
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- Return to Figure 9.2. Suppose P0 is $10 and P1 is$11. Suppose a new firm with the same LRAC curve asthe incumbent tries to break into the market by selling4,000 units of output. Estimate from the graph what thenew firm’s average cost of producing output would be.If the incumbent continues to produce 6,000 units, howmuch output would the two firms supply to the market?Estimate what would happen to the market price as aresult of the supply of both the incumbent firm andthe new entrant. Approximately how much profit wouldeach firm earn?COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibriumAcme Drug Co. has a patent on the drug A-rene, the annual demand for which can be described by the demand curve: Q = 4500 - 300P. Production of the drug requires an annual fixed cost of $3,000 and a per unit marginal cost of $5. (i) How many units of the drug will Acme produce each year, and what price will it charge, in order to maximize its profits? What will be its annual profits? (ii) Now suppose that the Better Drug Co. has discovered B-rene, a new drug which seems to be identical to A-rene in all its effects. If Better enters the market, competition with Acme will conform to a Cournot duopoly. Better’s costs are identical to those of Acme. What would be the equilibrium outcome of this duopoly? Specifically, how much would each firm produce and what would be the price? How much profit would each firm make? Would Better find it profitable to enter the market? (iii) Would it be in the interests of society as a whole for Better Drug to enter into production? Identify the gainers and…
- Firms J and K produce compact-disc players and compete againstone another. Each firm can develop either an economy player (E)or a deluxe player (D). According to the best available marketresearch, the firms’ resulting profits are given by the accompanyingpayoff table.a. The firms make their decision independently, and each is seeking itsown maximum profit. Is it possible to make a confident predictionconcerning their actions and the outcome? Explain.Firm KE DE 30, 55 50, 60 Firm JD 40, 75 25, 50b. Suppose that firm J has a lead in development and so can move first.What action should J take, and what will be K’s response?c. What will be the outcome if firm K can move first?2. Compute the equilibrium prices, quantities, and profits for both firms. Consider now the first stage. 3. Show that in equilibrium firms will go for a maximal quality difference. (Hint: take partial of equilibrium profits with respect to s2 − s1) 4. If you were a lobbyist for firm 1, as a business strategy would you argue to the policymakers to introduce legislation – in the name of safety and quality of course – that increases or decreases the value of c?4. You are the manager of a firm that produces products X and Y at zero cost. Youknow that different types of consumers value your two products differently, but you are unable toidentify these consumers individually at the time of the sale. In particular, you know there arethree types of consumers (100 of each type) with the following valuations for the two products: Consumer Type Product X Product Y1 $90 $ 602 $70 $1403 $40 $160 a. What are your profits if you charge $40 for product X and $60 for product Y?b. What are your profits if you charge $90 for product X and $160 for product Y?c. What are your profits if you charge $150 for a bundle containing one unit of product X andone unit of product Y?d. What are your profits if you charge $210 for a bundle containing one unit of X and one unit ofY, but also sell the…
- A food manufacturer is trying to maximize profit by selling wheat-based cereal (C) and wheat bread(B) with raw wheat (W). The production functions are: Cereal: C = 28WC – 1.5WC2 Bread: B = 66WB – 2WB2 Constraint: WC + WB = 7,058 Profit is $1.00 per box of cereal and $0.50 per pack of wheat bread. There are 7,058 units of raw wheat available. How much wheat should go to the cereal (WC)? Enter as a value. ROUND TO THE NEAREST WHOLE NUMBER.12.A fim has marginal cost of 2q and no fixed cost. Market demand is D(p) = 24-2p. Assuming the fim has market power, what is the maximal amount of profits the firm can achiavs?a. 41.25b. 48c.16 d. 248.1. Bertrand in the real world. The Bertrand model of price competition suggests that, under a given set of conditions, firms make zero economic profits even if there are only two firms. However, there are many instances of industries with a small number of competitors where firms appear to earn more than zero economic profits. Give an example of an industry dominated by a couple of firms where profits are significant. Explain why the predictions of the Bertrand model are not borne out. (Cabral, 20170224) Cabral, L. B. (20170224). Introduction to Industrial Organization, 2nd Edition [VitalSource Bookshelf version]. Retrieved from vbk://9780262338943 Always check citation for accuracy before use.
- Suppose you are the economic adviser ofa company producing three brands of mobile pnones;Nokia 10, Samsung X and iPhone 7. Suppose further that, your company currently sells 120units of iPhone Z at e800 per unit, 150 units of Samsung X at e800 per unit and 200 units ofNokia 10 at e100 per unit, but in a bid to maximize profit, the company's managing directorproposes an increase in price of Samsung X from e800 to e1000 per unit for which quantitydemanded is anticipated to fall from 150 to 100 units; iPhone Z from e800 to e 1200 per unitfor which quantity demanded is anticipated to fall from 120 to 100 units; and Nokia 10 from100 to 200 per unit for which quantity demanded is expected to fall from 200 to 100 unitsUsing the mid-polint formula. compute the price elasticity of demand for each brand.From your answer in i, what is the type and economic interpretatiom of each brand'sii.value of elasticity.V5. You are the manager of Taurus Technologies, and your sole competitor is Spider 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 =290 - 3Q. 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 $500, 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 investment? What are your profits if you do make investment? Instructions: Do not include the investment of $500 as part of your profit calculation. Should you invest the $500? no or yesonly typed answer Consider the following information: Q = 22 L + 57 K PL=52, PK=3, P=28 and C=4763 What is the profit maximizing level of output?