5- a) There are 3 firms competing over quantities. The market share of firm 1 is 0.3 and its marginal cost is 1. If the price elasticity of demand is -3, what is the equilibrium price? b) If the share of the other two firms are 0.1 & 0.6 respectively calculate the Herfindahl index.
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- 6Consider a market with two identical firms, Firm A and Firm B. The market demand is:1P = 100 — —2Qwhere Q = QA + QB . The cost conditions are MCA = MC, = ACA = AC, = 24. (Hint: Round your solutions to 2 decimal places.)Assume this market has a Stackelberg leader, Firm A. Solve for the quantity, price and profit for each firm. Explain your calculations.How does this compare to the Cournot-Nash equilibrium quantity, price and profit? Explain your calculations.Determine the profit-maximizing LOADING... prices when a firm faces two markets where the inverse demand curves are Market A: pA=100−2QA, where demand is less elastic, and Market B: pB=60−1QB, where demand is more elastic, and Marginal Cost=m=20 for both markets. Part 2 For Market A: pA=$enter your response here. (Round your response to two decimal places.) Part 3 For Market B: pB=$enter your response here. (Round your response to two decimal places.)
- 1. Consider the (inverse) market demand function for the market in streaming services. P = 120 - 4Q Assume further that the available technology results in Marginal Cost equal to $40. a) Graphically show the market outcome for monopoly, Cournot oligopoly and perfect competition. b) For monopoly, Cournot duopoly and perfect competition determine the optimal outcome. Clearly explain how you arrive at your answer. What are the market price and quantity under each market structure? c) What are the consumer surplus, producer surplus and total surplus under each scenario? d) Show the reaction function under Bertrand competition. What are the associated price and quantity?A firm with market power can divide its sales into two submarkets, the demands and marginal revenues of which are shown in the following diagram. $ Price, marginal revenue, and marginal cost (dollars) 0.80 0.70 0.60 0.50 0.40 0.30 0.20 0.10 0 5 10 MRA 15 MRB 20 Quantity 25 DA 30 35 MC = ATC DB 40 (a) How many quantities of output should the firm produce? 1 45 Q (b) How many quantities should be sold to market A? How many quantities should be sold to market B? What price should be charged in each market? (c) Calculate the price elasticities at the prices charged in each submarket. Do these price elasticities have the expected relative magnitudes? Explain. (d) What is the amount of profit generated by the firm?Demand is assumed to be unit-elastic: X(p) = 1/p. There are m ≥ b2 firms operating in the market with constant marginal cost levels c1 ≤ c2 ≤ ……. ≤ cm. They engage in Cournot competition. a. Show that the equilibrium price implies Lerner indexes Where si is the market share of firm i. b. Using the equilibrium price, show that the profit of firm i is equal to (si)2. c. Show that the industry profit is equal to the Herfindahl index H = Σi(si)2. d. What is the effect of a specific taxt on equilibrium price? How does this tax affect the industry profit and the Herfindahl index?
- 1. The cost function for any potential firm in a manufacturing industry is C(y) = 2 + 8y + 2y? (if a firm exits the industry, then its cost is zero). The inverse market demand function is given by P(y) = 100 – 2y. (a) If there is only one firm in the industry (the firm is a monopolist), what is the optimal output and the markup of the firm in equilibrium?9. Two firms compete by choosing price. Their demand functions are q1 = 20 – pı + P2 and q2 = 20 – P2 + P1. Marginal costs are zero a) Suppose the two firms set their prices at the same time. Find the resulting NE. What 2 price will each firm charge, how much will it sell, and what will its profit be? b) Suppose Firm 1 sets its price first and then Firm 2 sets its price. What price will each firm charge, how much will it sell, and what will its profit be? c) Suppose there are three ways this game can be played: both firms set price at the same time; firm 1 sets its price first; firm 2 sets its price first. If firm 1 can choose among these options, which would it prefer?A market with N=20 identical firms compete on quantity (Cournot competition). The market price elasticity of demand is = −1.5, and the price elasticity of supply for N-1 of the firms is n-i = 1.5. What is the price elasticity of the residual demand curve facing firm i? O -30 O -50 O -58.5 O -60
- 1. Suppose that inverse demand is given by P = 100 − 1/2 Q and each firm’s marginal cost is 10. Assume fixed costs are 0.(a) Solve for equilibrium price and quantity assuming this is a monopoly market. (i.e. Sup-posing there is only one firm, with no threat of entry, find the choice of quantity thatmaximizes profit, and then compute the corresponding market price.)(b) At this price and quantity, what is the monopolist’s profit?(c) What is consumer surplus?(d) What would be the perfectly competitive price, quantity, and consumer surplus?(e) How much is deadweight loss due to monopoly?Use the orange points (square symbol) to plot the initial short-run industry supply curve when there are 10 firms in the market. (Hint: You can disregard the portion of the supply curve that corresponds to prices where there is no output since this is the industry supply curve.) Next, use the purple points (diamond symbol) to plot the short-run industry supply curve when there are 15 firms. Finally, use the green points (triangle symbol) to plot the short-run industry supply curve when there are 20 firms. PRICE (Dollars per pound) 100 90 80 70 80 50 40 30 20 10 0 0 125 250 375 500 825 750 875 1000 1125 1250 QUANTITY (Thousands of pounds) Demand Because you know that competitive firms earn Supply (10 firms) True Supply (15 firms) If there were 10 firms in this market, the short-run equilibrium price of rhodium would be $ would . Therefore, in the long run, firms would False Supply (20 firms) per pound. From the graph, you can see that this means there will be ? per pound. At that price,…Firm X is going to apply a 2nd degree price discrimination. They plan to charge P1 for the first units and P2 for the subsequent units. The inverse market demand curve is P=100 - 0.4q, and the total cost function is TC = 10q + 130. Answer the following questions: 4. the quantities (q1 & q2) the firm is going to sell after applying 2nd price discrimination are: O q1=300 and q2 =150 O q1=75 and q2 =150 O q1=150 and q2 =300 O qt=150 and q2 =75 5. the prices (P1 & P2) the firm is going to charge after applying 2nd price discrimination are: O P1=70 and P2=40 O P1=40 and P2=70 O P1=20 and P2=40 O P1=60 and P2=30