Question 4. Consider a monopolist facing a demand curve of the form D(p) = 100 - 2p where p is the unit price. Suppose the monopolist has a constant marginal cost of production of $2 a unit. Bunter was asked to determine the price which would maximize consumer surplus. Here is his solution: Total surplus as a function of price is f50 (100 – 2x)dx. The derivative of this with respect to p is -(100-2p). This is maximized by making p as large as possible, i.e., p = 50. Is Bunter correct? If not, what is the error that Bunter has made?

Question 4. Consider a monopolist facing a demand curve of the form D(p) = 100 - 2p where p is the unit price. Suppose the monopolist has a constant marginal cost of production of $2 a unit. Bunter was asked to determine the price which would maximize consumer surplus. Here is his solution: Total surplus as a function of price is f50 (100 – 2x)dx. The derivative of this with respect to p is -(100-2p). This is maximized by making p as large as possible, i.e., p = 50. Is Bunter correct? If not, what is the error that Bunter has made?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

A monopolist produces an output level Q1 = 200 where marginal revenue is equal to marginal cost. At this output level, the price is P1 = $300 and the average total cost is ATC1 = $250. The monopolist has the following revenue and cost levels:• Marginal cost curve intersects the marginal revenue curve at $100.• Marginal revenue is $0 at Q2 = 400.• Marginal cost curve intersects the demand curve at P3 = $270 and Q3 = 320.1. Draw the graph for the monopolist (include ATC, D, MC, and MR curves). Label everything! 2. At this output of Q1 = 200, calculate total revenue (TR), total cost (TC), and profit. Show your work (formulas and calculations). 3. Let’s compare the monopoly outcome with the perfectly competitive outcome. In monopoly, the firm produces Q = ________ and charges a price P = $_______. If this was perfect competition, the market would produce Q = ________ and charge a price P = $_______. Which market is more efficient and why? (hint: economic welfare) Obs:…
Suppose that a price-searcher firm was going to use a first degree price discrimination strategy. The demand for their product is given by: QD= 205 -0.5P. The firm has a constant marginal cost of $68.00 per unit. Calculate the producer surplus the firm would earn from this strategy.
What membership fee would maximize profit for the club? Compared to the profit of a similar but single-price monopoly golf club, how much more profit does Northlands Golf Club make?
A monopolist with cost function C(q) = ;q? faces 2 consumers with the following demands: p(q1) = 10 - q1 and p(q2) = 20 – 2q2. Determine prices, quantities to be produced and sold and the monopolist's profits in the following cases: (a) The good can be resold at zero cost among consumers and it is technologically impossible to sell it in bundles of more than 1 unit. b) There is resale at zero cost and bundling in packages of arbitrary size. c) Resale is possible at a cost of "t" per unit. d) The good is a personal and non-transferable service. e) Repeat the above analysis, but this time assuming that costs are C(q) = q with q < 8.
Q1. Consider a monopolist which produces two different products, each having the following demand functions: - P₁, 91 = 14- 1 92 = 24- P2. where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p2 represent their prices. The monopolist's joint cost function is given as C (91, 92) = 91 +59192 +92². Write out the monopolist's profit function.
All 20 consumers are alike and each has a demand curve for a monopolist's product of p=15 -3q. The cost of production C(Q) =2Q. Let the monopolist charge a price of $PM for qM unit purchased. Find the menu prices that maximize profits? (The buyer pays menu price PM for quantity qM) What is the maximum profit the monopolist can earn in this market? (pi)?
On the market of good Y there are 50 identical consumers. Each consumer has a demand function q=300-2pGood Y is produced by a monopolist, which is operating with a constant marginal cost of 50 and a fixed cost of 2000. Suppose the monopolist implements a two-part tariff pricing strategy. Calculate the maximum profit
Suppose that a monopolist sells its product in two countries; Japan and Canada. The monopolist’s marginal cost is $60 and total fixed cost is $100. The direct market demand equations in the two countries are as follows:QJ = 200 − 2PJ and QC = 100 − 0.5PC;where the subscript J denotes Japan and the subscript C denotes Canada. Suppose that the monopolist cannot prevent resale, i.e, the monopolist must charge a single price for both countries.a) Derive the direct total market demand equation, QD = f(P).b) What would be the profit-maximizing quantity (Q*), price (P*), and profit (π*)? Please answer both a) and b). Thank you.
Consider a monopoly that faces the demand curve P = 20 − Q, and has the marginal cost curve MC = 2. a) Use the demand curve to find the equation of the marginal revenue curve. b) Find the profit-maximizing price and quantity for this monopoly if the monopoly uses uniform pricing. What is the producer surplus? c) Now, suppose the monopoly wants to increase profits using block pricing. The total cost the monopoly incurs is T C = 2Q. Find the optimal quantities, Q1 and Q2, and their corresponding optimal prices, P1 and P2 that maximize profits using a two-block pricing scheme. What is the new producer surplus? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
A monopolist knows there are two customers with different demand curves for two differently sized bags of potato chips. Customer S would only buy the small bag and has a willingness-to-pay given by P=160-2q (where P denotes the price and q denotes the quantity). Customer L would buy the large bag and has a willingness-to-pay given by P=200-q. The monopolist does not know who is customer S and who is customer L. Marginal cost of production is zero. BEFORE second degree price discrimination, and if the monopolist perfectly price discriminated the small bag, what is the price of the small bag?
A monopolist sets the price as a function of the product produced. For every Q of products produced, the selling price is set at (100 – 4Q) $/unit. Fixed costs are $50 and variable costs are set at $2/unit. Assume that all products produced can be sold. If the local government imposes a tax of $2/unit sold, should the company increase or decrease its production? Explain!
A monopolist has discovered that the inverse demand function of a person with income Y for the monopolist’s product is P = 0.002Y-Q where P is the price, Y the income, and Q is the output. The monopolist can observe the incomes of its consumers and hence vary its price accordingly. The monopolist has a total cost function C(Q) = 100Q. A monopolist has a constant marginal cost of £2 per unit and no fixed costs. He faces two separate markets in the United States and in the UK. The goods sold in one market are never resold in the other. He sets one price P1 for the US market and another price P2 for the UK market (both measured in £). The demand in the United States is given by Q1=7,000-700P1 and the demand in the UK is given by Q2=1,200-200P2. Calculate the profit maximising output produced and price charged in each country by the price-discriminating monopolist and comment in which country the price charged is higher and by how much. Explain if your answer above is as expected by…