ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 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.arrow_forwardQuestion 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 50(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?arrow_forwardThe demand for good X is given by x = 586 p-6. The good is sold by a monopolist with cost function C(x ) = 4 x and whose is aim is to maximize profit. The firm charges all customers the same price. If the government imposes a per unit tax equal to 4 dollars on the firm, what price will the monopolist charge consumers?arrow_forward
- 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.arrow_forwardAssume that a monopolist faces a demand curve for its product given by: p=130−3q Further assume that the firm's cost function is: TC=490+10q What is the profit for the firm at the optimal quantity and price?arrow_forwardSuppose that a monopolist has a patent for widgets and the demand curve is given by Q(P) = 12 – 0.02P. The monopolist’s total costs are TC(Q) = 25Q^2 + 500. You may assume that widgets are continuously divisible, like corn oil or sand. a: Find the quantity Q* that maximizes the monopolist’s profit by exploiting the marginalcondition, necessary for profit maximization at an interior solution. Neatly show your work.b: Find the price P* that the monopolist charges. Neatly show your work.c: Neatly graph the marginal revenue and marginal cost curves, with Q on the horizontal axis.d: Label relevant areas on your graph using a, b, c, etc. and fill in the following chart.arrow_forward
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