Given a monopolist which has identified two submarkets of buyers for its product with demand schedules: Q1=400-4P, and Q2 300 - 5P2 The total cost curve of the monopolist is C(Q) = 20Q + 100 Q Q1 + Q2 • Determine the profit maximizing outputs and prices in the two submarkets and the total profits of the monopolist under price discrimination. Calculate the price elasticity of demand in each submarket at the profit maximizing output levels. • Determine the profit maximizing output, price and profit if the monopolist does not practice price discrimination.

Given a monopolist which has identified two submarkets of buyers for its product with demand schedules: Q1=400-4P, and Q2 300 - 5P2 The total cost curve of the monopolist is C(Q) = 20Q + 100 Q Q1 + Q2 • Determine the profit maximizing outputs and prices in the two submarkets and the total profits of the monopolist under price discrimination. Calculate the price elasticity of demand in each submarket at the profit maximizing output levels. • Determine the profit maximizing output, price and profit if the monopolist does not practice price discrimination.

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

Eyeglasslux is a single-price monopolist in the eye-glass frame market. It faces a Market demand given by Q=196-2P. Its only cost is a Marginal Cost of MC=Q. What is the (absolute) elasticity of demand at the profit maximizing price?
The market demand function for a monopolist is p=58-2Q and its cost is C(Q)=10Q. a) Determine the monopolist's price and quantity in equilibrium. b) Suppose now that a competition authority forces the monopolist to employ marginal cost pricing. Determine the price and the quantity with this new pricing scheme.
Consider a discriminating monopolist that sells a product in two isolated geographical areas. The monopolist faces the following demand functions P1 = 100 - Q1 and P2 = 80 - Q2 and the cost function is C = 6(Q1 + Q2) The authorities in market 1 impose a tax of t per unit sold in market 1. How much tax revenue do the authorities in market 1 get?
1) Suppose that a monopolist producing bicycles can divide the aggregate demand into two groups: The domestic market and the foreign market. The demand curve for the monopolist's product in the domestic market is yı=1200-10p¡ and the demand foreign market is y2=800-10p2. The monopolist's total cost function is given by C(y)= 50y where y=yi+y2. curve for the monopolist's product in the a) Assume that the monopolist does not practice price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit. b) Assume that the monopolist practices third-degree price discrimination. Calculate his/her profit-maximizing price-quantity combination and the maximum profit in each market.
Suppose a monopolist operates in a market with two types of consumers (“high” and “low” types) and offers two types of goods (“high quality” and “low quality”). In general, if the monopolist wants to implement second-degree price discrimination (i.e. to sell the “high quality” good to the “high” type consumer and the “low quality” good to the “low” type consumer), they may have to set the price of the “high quality” good lower than the willingness-to-pay of the “high” type.(a) True. (b) False.
A firm is originally operating as a single-price monopolist that faces a market demand curve P(Q) = 198 –0 and total cost curve equal to TC (q) = 10, 500 + 32Q, with constant MC equal to MC(Q) = 32 for all units produced. Part (a): How much output does the firm produce and at what price is each unit sold for? Part (b): Calculate the firm's profit. The firm now realizes there are actually two distinct groups of consumers that purchase their product, with the following demand functions: P(q1) = 242 – qı P(q2) = 176 – 92 Their total and marginal cost curves have not changed. If the firm wanted to successfully practice third-degree price discrimination: Part (c): How many units of output would they sell to group 1 and how much will each consumer in group 1 pay? Part (d): How many units of output would they sell to group 2 and how much will each consumer in group 2 pay? Part (e): How much profit is earned by the firm when they practice third-degree price discrimination? Part (f): How much…
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.
2. Consider a monopolist who has a cost function of c(Q) = 5Q. This monopolist faces two consumers, the first having demand q₁(P₁) = 80 - 2P₁ and the second having demand q₂ (P₂) = 50 - P₂. a) Calculate the profit-maximizing price and then the optimal quantity sold to each consumer under uniform pricing, i.e. the monopolist charges the same price for both consumers. What are the monopolist's profits? b) Suppose now that the monopolist can engage in third degree price discrimination. Find the monopolists profit maximizing prices for consumers 1 and 2 (they should be different), and calculate the monopolist's profits. How do they compare to the profits in part (a)?
A monopolist is able to price discriminate in two market segments. The inverse demand curve in segment 1 is P1 = 400 - Q1 and the inverse demand curve in segment 2 is P2 = 300 - Q2. The firm's total cost function is TC = Q^2. How many units will the monopolist sell and at what price in segment 1 and segment 2?
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.
If a monopolist faces a demand p(q) = 130-3q and costs c(q) = 2q^2, answer: a) What is the quantity this monopolist would sell? b) What is the price they would charge?
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