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- Two firms facing a demand curve are P = 50 -5Qwhere Q = Q1 + Q2. The cost functions of the two firms are:C1(Q1) = 20 + 10Q1C2(C2) = 10 + 12Q2Based on this information:a. Suppose both companies have entered the industry, then what is the price?and the profit-maximizing amount for the two firms under conditionsperfectly competitive market?b. What is the quantity, price and profit of the two firms ifcompanies collude in pricing?c. What are the quantities, prices, and profits of the two firms if theydo the Cournot strategy, and draw the reaction curves of the twothe company?d. What are the quantity, price, and profit of the two firms if theycarry out the stakeberg strategy.Please no written by hand solution Considerthe following problem. There are five firms producing a homogenous good and competing in quantities simultaneously. The demand function for this good is given by D(p) = 100−p, where p denotes price. The marginal cost is the same for all firms and equals 40 Answer the following questions. (a) Compute the equilibrium quantities and profits of each firm. (b) Now suppose that two of these firms (say firms 1 and 2) want to merge. (The remaining firms stay unchanged.) Merging, however, is costly. To merge, each merging firm has to pay a fixed cost F. Determine the highest fixed cost F that the two firms would be willing to pay in order to proceed with the merger.3
- 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.Im a bit confused on how start solving could I have some help21. 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 cach 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
- 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.300 270 240 210 180 150 120 90 60 30 0 20 MC 32 40 50 60 70 80 The figure shows MC, MR and ATC curves for Joe's Good Enough Cafeteria, a firm that operates in a competitive market. If the firm is producing 50 units of output, increasing output by one unit would the firm's profit by $ Joe's SHORT RUN equilibrium quantity is equal to ATC Joe's LONG RUN equilibrium quantity will be MR If the firm is producing 70 units of output, increasing output by one unit would the firm's profit by $ and profit is $ and profit will be $2.- Each of two firms, firms 1 and 2, has a cost function C(q) = 0.5q; the demand function for the firms' output is Q = 1.5 - p, where Q is the total output. Firms compete in prices. That is, firms choose simultaneously what price they charge. Consumers will buy from the firm offering the lowest price. In case of tying, firms split equally the demand at the (common) price. The firm that charges the higher price sells nothing. (Bertrand model.) (a) Formally argue that there could be no equilibrium in prices other than p1 = p2 = 0.5 (b) Solve the same problem, but this time assuming that firms compete in quantities.Now, suppose that firm 1 has a capacity constraint of 1/3. That is, no matter what demand it gets, it can serve at most 1/3 units. Suppose that these units are served to the consumers who are willing to pay the most. Thus, even if it sets a price above that of firm 1, firm 2 may be able to sell some output. (c) Obtain the (residual) demand of firm 2 (as a function of its own…
- 4Pls help with below homework, pls solve all partsWEBCAM RECORDING Industrial Economics da 6 A market is characterised by an inverse demand curve p =8 – 2Q where Q is total quantity. Two firms, A and B, are competing à la Cournot and TCA(qA) = 29A and TCB(qB) = q ta non %3D data Total profits n (1.e. the sum of profit for the two firms) are equal to: ggio max. ontrassegna O (a)n = nda %3D O (b) = 16 O (c)N = 4 O (d) = 9 Precedente Successivo