Problem 1. Market demand is P - 100-0.25Q, where Q is the total quantity demanded by consumers. Monopoly's costs are C - 10Q+0.125Q2 +40. a) Calculate prices and quantities if the monopoly uses block pricing with two prices. Calculate CS, DWL and firm's profit and demonstrate on a diagram. b) Find firm's output and profit if the firm engages in perfect price discrimination. Show on a diagram.

Problem 1. Market demand is P - 100-0.25Q, where Q is the total quantity demanded by consumers. Monopoly's costs are C - 10Q+0.125Q2 +40. a) Calculate prices and quantities if the monopoly uses block pricing with two prices. Calculate CS, DWL and firm's profit and demonstrate on a diagram. b) Find firm's output and profit if the firm engages in perfect price discrimination. Show on a diagram.

Principles of Microeconomics

7th Edition

ISBN:9781305156050

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter15: Monopoly

Section: Chapter Questions

Problem 6CQQ

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Problem 1. Market demand is P = 100-0.25Q, where Q is the total quantity demanded by consumers. Monopoly's costs are C = 10Q. (10 marks) a) Calculate prices and quantities if the monopoly uses block pricing with two prices. Calculate CS, DWL and firm's profit and demonstrate on a diagram. b) Find firm's output and profit if the firm engages in perfect price discrimination. Show on a diagram. I
You are a consultant who is advising a monopoly on the optimal pricing strategy. Your analysis has yielded the following information. • The marginal cost (MC) is $3. • The demand equation is P = 90 - 3Q . The total cost (TC) is given by 35+ 3Q The marginal revenue (MR) is given by 90 - 6Q Based on this information, answer the following questions. Show FULL calculations! (a) Following the concepts of profit maximization, what is the profit maximizing quantity for this monopoly? (b) Following the concepts of profit maximization, what is the profit maximizing price for this monopoly? (c) Following the concepts of profit maximization, what is the monopoly's profit at the profit maximization point?
O OO The above graph shows the market demand function for a product. Assume that the market is served by a perfectly-price-discriminating monopolist with a constant marginal cost of production equal to $4 (MC = $4) and no fixed cost (FC = 0). The deadweight loss equals: DWL - $72 DWL - $0 DWL- -$48 DWL - $84 DWL-$36 $30 $28 $26 $24 $22 $20 Question 23 $18 $16 $14 $12 $10 $8 $6 $4 $2 $0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Attempts 8. Natural monopoly analysis Keep the Highest / 3 The following graph gives the demand (D) curve for satellite TV 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 satellite TV 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 subscription) 100 90 80 70 60 50 40 30 20 10 ATC MC MR 0 0 2 4 6 8 10 12 14 16 18 20 QUANTITY (Number of subscriptions) D + Monopoly Outcome (?) Which of the following statements are true about this natural monopoly? Check all that apply. The satellite TV company must own a scarce resource. In order for a monopoly to exist in this case, the government must have intervened and created it. The satellite TV company is experiencing economies of scale. It is more efficient on the…
Don't provide handwritten solution... The figure below depicts the market demand curve a monopoly firm faces. If the monopoly firm successfully practices first-degree price discrimination, the firm's total revenue amounts to ________. $4,000 $10,000 $6,000 $5,000
7. A monopoly firm faces a demand curve given by 2(P) = 40 – 2p. The firm has constant MC=$12. (A) Find the firm's marginal revenue and use this to find the firm's profit-maximizing output and price. Draw a diagram. Hint: first figure out how express the firm's total revenue in terms of Q. Then if you know calculus, take the derivative of this expression with respect to Q to find marginal revenue. If you don't know calculus, recall that for a linear demand curve, (1) the slope of the marginal revenue curve is twice (in absolute value) the slope of the demand curve; and (2) the marginal revenue curve intersects the vertical (price) axis at the same point as the demand curve; and (3) the marginal revenue curve hits the quantity axis at half the distance of the demand curve. (B) Find the price elasticity of demand at the profit-maximizing output and price. Is demand elastic?
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Figure 4 Price and cost 0" NO MR MC Demand Q₁ Q₂ 10) Refer to Figure 4. From the monopoly graph above, identify the following: a) The profit maximizing price b) The profit maximizing quantity c) The area representing deadweight loss d) The area representing the transfer of consumer surplus to the monopoly Quantity
19. Firm A is monopolist in x market, and it consumes one unit of y in order to produce one unit of x. It costs 5 + py TL to produce one unit of x. (py is the price of product y.) y is produced by a monopolist, B, and it costs 5 TL to produce one unitf of y. The demand for x is defined by px = 50-qx (px product price, qx quantity demanded). a) Assume that px is set by Firm A and py is set by Firm B. What would be the equilibrium prices for products x and y? Calculate Firm A and B's profits. b) Assume that Firms A and B merge together. What would be the equilibrium prices for products x and y? Calculate the profits of the new firm. c) Would the merger between A and B increase the consumer surplus? Why (not)?
1. The market demand for monopoly firm is P=300-4Q and the total cost is C(Q)=50Q+Q?+100. a) How many products this firm should produce in order to maximize its profit and at what price? Calculate profit. Show the profit area on a graph. b) Calculate the consumer, producer surplus and the deadweight loss. c) What will happen to the deadweight loss if the demand increases by 10 units and the demand curve shifts to the right? Calculate the profit with new demand function.
Assume that builder XYZ is a monopoly in Sydney’s Southwest, who specialises in apartment construction. (a) Draw a diagram to illustrate XYZ making economic profits before the implementation of the hard lockdown in Sydney’s Southwest. On your diagram clearly indicate the quantity XYZ is choosing to produce and the price XYZ is choosing to charge. (b) Assuming costs remain constant and that that the construction industry is still allowed to operate normally, explain the impact of Sydney’s lockdown on builder XYZ’s demand from Q2 part (a). With the aid of a new diagram, discuss XYZ’s static profit or loss situation after these changes. Clearly indicate the quantity XYZ is choosing to produce and the price XYZ is choosing to charge. (c) Assume that XYZ survives the lockdown and stays in business. If the NSW government decides to double the first home buyer’s grant, explain the impact on XYZ’s demand. With the aid of a new diagram, discuss XYZ’s static profit or loss situation after this…
A movie production company is planning to make its new movie available online so that it can enjoy monopoly power. Each time the movie is downloaded the production company has to pay 4 taka to the internet service provider. Now it is deciding what price to charge for each download. The numbers below shows the demand schedule for the company, Price per download dollar - 10, 8, 6, 4, 2, 0. Quantity of downloads demands 0, 1, 3, 6, 10, 15. a) Calculate the total revenue and marginal revenue per download. b) To maximize profit what price should be charged and how many downloads would need to be sold?