Question-3 (Monopolist Behavior) demand curves given by Suppose a monopolist faces two markets with = Di(pi) 200 pi D2(p2) = 100-2p2 Assume that the monopolist's cost function is c(y) = y² 1. What is the optimal prices for the monopolist if it can charge different prices in these markets? 2. What is the optimal price if the monopolist must charge the same price in each market? 3. How much total consumers' surplus changes between the two separate prices and the same price cases?
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- What is the usual shape of a total revenue curve for a monopolist? Why?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…3. Consider a monopolist who faces the following demand: Demand: P= 100 – 10Q MC= 50+20 a) Find the price quantity combination that maximizes profit for the monopolist. b) Is the firm making positive, negative or zero profits? (100,100) Kareem chooses (60, 105) (500, 400) Saleem chooses Kareem chooses (50,420) 4. Calculate the SPNE/SPNES for the game stated above.
- Exercise A.6 A monopolist facing the demand curve Q = 42 – 0.6P operates with constant average and marginal costs equal to 20. a) Calculate the quantity, price and profit obtained by the monopolist. Represent graphically. (b) What quantity, what price and what benefit will you get if you can apply first-degree price discrimination? Calculate the consumer surplus and represent graphically. c) The monopolist warns that he can separate consumers into two distinct groups with demands Q1 = 12 - 0.1P1 and Q2 = 30 - 0.5P2. Calculate the quantities, the prices you will set in each market, and the profit you will make. Represent graphically.Problem 3 Suppose that a monopolistic seller of flux capacitors faces the inverse demand curve P = 40 - and that the monopolist can produce flux capacitors at a constant marginal and average total cost of $5. (a) How many units will an unregulated monopolist sell? 1 (b) Suppose that the government imposes a price ceiling of $6. Find the firm's marginal revenue of the 10th, the 68th, and the 69th unit. (c) How many units will a profit-maximizing monopolist sell when the price ceiling is in place? At what price? (d) Show in a graph the deadweight loss of unregulated monopoly and the deadweight losses with the price ceiling. Does the price ceiling improve social welfare?1. A monopolist with zero cost, that is c(q) = 0, faces two consumers whose demand functions are given below. Q1 = 10-P Q2 (a) Suppose the monopolist cannot engage in any price discrimination. Find the firm's optimal pricing strategy. (b) Now, assume that price discrimination is possible. Find the monopolist's optimal first degree price-discrimination strategy. (c) Find the monopolist's optimal second degree price-discrimination strategy.
- 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.1. A monopolist with cost function c(Q) = faces an inverse demand function given by P(Q) = (a) Find the elasticity of demand with respect to price. (b) Assuming that the monopolist uses MR = MC pricing rule, find his profit maximizing price, p", and output level, q™. (c) Find the marginal cost at q" and calculate the Lerner index. (d) Does the monopolist's market power depend on his cost curve? In particu- lar, does it depend on a? Is your answer surprising?5. A monopolist with cost function c(Q)=faces an inverse demand function given by P(Q)= √Q' (a) Find the elasticity of demand with respect to price. (b) Assuming that the monopolist uses MR = MC pricing rule, find his profit maximizing price, p", and output level, q". (c) Find the marginal cost at q" and calculate the Lerner index. (d) Does the monopolist's market power depend on his cost curve? In particu- lar, does it depend on a? Is your answer surprising?
- (b) Suppose CLP Holdings Limited is a natural monopolist with constant marginal cost. Draw a diagram to indicate the profit-maximizing level of output, the profit-maximizing price, and the size of the profit.The following graph shows the demand (D) for gas 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 gas company, natural monopolist. On the following graph, use the black point (plus symbol) to indicate the profit-maximizing price and quantity for this natural monopolist. (? 20 18 Monopoly Outcome 16 14 12 10 ATC MC MR 1 3 5 6 7 8 9 10 QUANTITY (Hundreds of cubic feet) PRICE (Dollars per hundred cubic feet)A monopolist is faced with the following cost and revenue curves:(picture) a.What is the maximum-profit price and output,total revenue, total cost and profit? b.If the monopolist were ordered to produce 300 units, what would be the market price and how much profit would now be made c.If the monopolist were faced with the same demand, but average costs were constant at £60 per unit, what output would maximise profit? What would be the price now?................................................................................................. (j) How much profit would now be made? ................................................................................... (k) Assume now that the monopolist decides not to maximise profits, but instead sets a price of £40. How much will now be sold? .................................................................................................................................................. (l) What is the marginal revenue at this…