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- QUESTION 3 A monopolist has a cost function of c(x) = x so that its marginal cost is constant at $1 per unit. It faces the following demand curve: D(p) = {100/p 100/p if p > 20 if p ≤ 20 A. What is the profit-maximizing choice of output/price for the monopolist? Graphically represent the monopoly market. B. If the government sets a price ceiling on the monopolist in order to force it to act as a competitor, what price should the government set? C. What output would the monopolist produce if forced to behave as a competitor? D. Based on the information in parts A - C, find the consumer-, producer-, and social surpluses before and after the government intervention.3. A monopolist faces a demand curve of P = 120 – 2q and has a production function given by f (L, K) = L'/4K¼. Input prices are w = 1 and r = 4. (a) Calculate the monopolist's (long-run) marginal cost as a function of the quantity it produces. (b) Draw a diagram illustrating the monopolist's problem. Identify each of the following on the diagram and calculate its numeric value: (i) monopolist's profit-maximizing quantity, (ii) price charged, (iii) monopolist's profit, (iv) consumer surplus, (v) producer surplus, and (vi) deadweight loss. Two notes: (1) the area of a triangle is base * height, (2) if you are getting really messy answers here, you may have made a mistake in part (a). (c) The government is concerned about the monopoly and decides to impose a price ceiling. Illustrate the efficient price ceiling on your diagram. i. Illustrate and calculate the price ceiling that will result in an efficient outcome. ii. Compute consumer and producer surplus at the efficient outcome. iii.…The following graph shows the demand (D) for cable services in the imaginary town of Utilityburg. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local cable company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. (? 100 90 Monopoly Outcome 80 70 60 50 40 ATC 30 MC 20 10 MR D 2 6 8 10 12 14 16 18 20 QUANTITY (Number of subscriptions) Which of the following statements are true about this natural monopoly? Check all that apply. O In order for a monopoly to exist in this case, the government must have intervened and created it. O The cable company is experiencing diseconomies of scale. O The cable company is experiencing economies of scale. O It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. True or False: Without government…
- d) If a price ceiling of $17.50 is imposed by the government on the monopolist, estimate (based on the graph) the quantity that the monopolist will produce. In this case, does the price ceiling in a monopoly improve economic efficiency or not? e) Supposed that instead of a regular monopoly, the graph above pertains to a natural monopoly, what change must be made to the graph to depict a natural monopoly?A monopolist faces a market demand curve given by Q(p) = 70 – p. Its total costs are described by TC(Q) = 3ố0 Q³ – 5Q + 250. 1 a) Derive the monopoly price, quantity, and profits. b) Calculate Lerner Index under the monopoly equilibrium. c) Now suppose the government sets the maximum price at $40. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss? d) Suppose the government sets the maximum price at $30. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss?A monopolist can produce at constant average and marginal costs of AC = MC = 5. The firm faces a market demand curve given by Q = 55 – P.(a) Calculate the profit-maximizing price-quantity combination for the monopolist. Also calculate the monopolist’s profits. Graph the relevant functions to illustrate these.(b) What output level would be produced by this industry under perfect competition (where price = marginal cost)? Indicate this on the graph.(c) Calculate the consumer surplus obtained by consumers in case (b). Show that this exceeds the sum of the monopolist’s profits and the consumer surplus received in case (a). What is the value of the deadweight loss from monopolisation? Indicate these on the graph. Please can you help with the graph, kind regards
- The following graph gives the demand (D) curve for water services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local water company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. ? PRICE (Dollars per hundred cubic feet) 40 36 32 28 24 20 16 opoly analysis 12 B 1 2 3 7 A QUANTITY (Hundreds of cubic feet) MR 4 ATC -MC- 0 10 D Monopoly OutcomeThe following graph gives the demand (D) curve for water services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local water company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. ? PRICE (Dollars per hundred cubic feet) 40 36 32 28 24 20 16 12 8 4 0 +↓ 0 + 1 MR 8 3 4 5 6 7 QUANTITY (Hundreds of cubic feet) True 2 ATC False 9 10 D Which of the following statements are true about this natural monopoly? Check all that apply. Monopoly Outcome In order for a monopoly to exist in this case, the government must have intervened and created it. The water company is experiencing diseconomies of scale. The water company is experiencing economies of scale. The water company must own a scarce resource. True or False: Without government regulation, natural…The following graph gives the demand (D) curve for water services in the fictional town of Streamship Springs. The graph also shows the marginal revenue (MR) curve, the marginal cost (MC) curve, and the average total cost (ATC) curve for the local water company, a natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. ? PRICE (Dollars per hundred cubic feet) 40 36 32 28 24 20 16 12 4 0 0 1 2 3 5 6 7 8 QUANTITY (Hundreds of cubic feet) MR 4 True ATC MC O False 9 10 D The water company is experiencing economies of scale. Which of the following statements are true about this natural monopoly? Check all that apply. + Monopoly Outcome The water company must own a scarce resource. It is more efficient on the cost side for one producer to exist in this market rather than a large number of producers. In order for a monopoly to exist in this case, the government must have intervened and…
- the supply curve is given Qs= P and the demand curve is given by Qd = P QD = 12 -. 5P Q and mariginal cost is zero 1. there was a monopoly, with the same supply curve. Given the option between selling 6,000, 8,000 and 10,000, which would the monopolist choose? What will the consumer surplus be? 2. Graphically represent the effects of an increase in demand.A monopolist has a single customer with the demand curve P=20-Q. (So this customer will buy different quantities at different prices.) Suppose the monopolist’s marginal cost is MC=0. (And assume FC=0 to keep things simple.) The monopolist uses “standard” pricing, i.e., it sets a single price for all units that the customer buys. The graph below shows the demand curve and MC curve. Solve graphically for the price & quantity that will maximize profit for the monopolist. Shade the areas on your graph that represent consumer surplus and the monopolist’s profit.Exercise A.3. The inverse demand of a monopolist is given by the expression P=50-2Q and its cost function is C(Q)=Q²+20Q+20. a) Determine the level of production, price and profit of the monopolist. Represent graphically. b) Calculate the monopoly power of the company using the Lerner index. c) Calculate the value of the deadweight loss caused by monopoly power.