Suppose a monopolist’s costs are described by the function C(Q) = 7 + Q2 and the...
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Suppose a monopolist’s costs are described by the function C(Q) = 7 + Q2 and the monopolist faces a demand curve of Q = 30 − 2P.
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(a) What are the monopolist’s profit-maximizing price and quantity? What is the resulting profit?
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(b) If the monopolist could enforce first degree price discrimination, what would be the lowest price that it would charge and how many units it would produce? What would be the profit and consumer surplus?
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(c) How much consumer surplus is absorbed by the monopolist in moving from a system of uniform pricing to first degree price discrimination?
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Homework Answers
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Suppose a monopolist’s costs are described by the function C(Q)
= 7 + Q2 and the...
1. [20] A monopolist with cost function c(Q) = 2 faces a consumer whose demand functions...
1. [20] A monopolist with cost function c(Q) = 2 faces a consumer whose demand functions are given by. 01 20 P and Q2 40 2P. (a) 5] Suppose the monopolist cannot engage in any price discrimination. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index. (b) 15) What is the deadweight loss (relative to the competitive market out- come) associated with this pricing strategy, if any? (c) 15) Now, suppose price discrimination is possible. Find the monopolist's...
consider a monopolist who has a cost function of c(q) = 1/4 Q2 this monopolist faces...
consider a monopolist who has a cost function of c(q) = 1/4 Q2 this monopolist faces a demand given by Q(p) = 90 -2P. Solve for the profit maximizing price and quantity produced. Calculate their resulting profits. Show this profit maximizing also graphically. label the price and quantity on their curve. please show all steps.
Microeconomics [20] A monopolist with cost function c(Q) demand functions are given by. faces a consumer...
Microeconomics
[20] A monopolist with cost function c(Q) demand functions are given by. faces a consumer whose Q1=20-P and Q2-40-2P. (a) [5] Suppose the monopolist cannot engage in any price discrimination. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index. come) associated with this pricing strategy, if any? optimal third-degree price-discrimination strategy. Which consumer is (b) [5] What is the deadweight loss (relative to the competitive market out- (c) [5] Now, suppose price discrimination is possible. Find the...
Suppose a monopolist faces the following demand curve: P = 440 – 7Q. The long run marginal cost of production is constant and equal to $20, and there are no fixed costs. A) What is the monopolist’s...
Suppose a monopolist faces the following demand curve: P = 440 – 7Q. The long run marginal cost of production is constant and equal to $20, and there are no fixed costs. A) What is the monopolist’s profit maximizing level of output? B) What price will the profit maximizing monopolist produce? C) How much profit will the monopolist make if she maximizes her profit? D) What would be the value of consumer surplus if the market were perfectly competitive? E)...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...
Consider a monopolist with the cost function C(q) = 6q, facing the market demand function D(p)...
Consider a monopolist with the cost function C(q) = 6q, facing the market demand function D(p) = 20 − 2p. (a) Find the monopoly quantity and price, the monopolist’s profit and the con- sumer surplus. (b) Now suppose that the government gives to the monopolist a subsidy of $2 per unit sold. Find the monopoly quantity and price, the monopolist’s profit, the consumer surplus, and the cost of the subsidy. (c) How does this subsidy affect total surplus (taking into...
Q2: The demand for a single-price monopolist’s product is Q = 60 – 2P where Q...
Q2: The demand for a single-price monopolist’s product is Q = 60 – 2P where Q is measured in units and P is measured in $/unit. a) At which price is the demand for the monopolist’s product unit elastic? b) At which prices is the demand for the monopolist’s product elastic? c) At which prices is demand for the monopolist’s product inelastic? d) Suppose the monopoly is currently producing and selling 50 units of output. What price must the monopoly...
1. (0 A monopolist with cost function e(Q)-jo* faces a consumer whose demand functions are given...
1. (0 A monopolist with cost function e(Q)-jo* faces a consumer whose demand functions are given by (a) [51 Suppose the monopolist cannot engage in any price discrimination. (b) [5) What is the deadweight loss (relative to the competitive market out (c) [5] Now, suppose price discrimination is possible. Find the monopolist's (d) [51 What information is required for the monopolist to be able to use Qi=20-P and Q-40-2P. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index....
2. A monopolist serves a market with an aggregate demand function given by Q = 36...
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Q3: A monopolist faces the demand P=180-2Q and has costs described by the function C(Q)= 200+Q^2. The monopolist charges a single price. Given the information, determine the profit-maximizing output, price, and the maximization profit level.
1. [20] A monopolist with cost function c(Q) = 2 faces a consumer whose demand functions are given by. 01 20 P and Q2 40 2P. (a) 5] Suppose the monopolist cannot engage in any price discrimination. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index. (b) 15) What is the deadweight loss (relative to the competitive market out- come) associated with this pricing strategy, if any? (c) 15) Now, suppose price discrimination is possible. Find the monopolist's...
Microeconomics
[20] A monopolist with cost function c(Q) demand functions are given by. faces a consumer whose Q1=20-P and Q2-40-2P. (a) [5] Suppose the monopolist cannot engage in any price discrimination. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index. come) associated with this pricing strategy, if any? optimal third-degree price-discrimination strategy. Which consumer is (b) [5] What is the deadweight loss (relative to the competitive market out- (c) [5] Now, suppose price discrimination is possible. Find the...
1. (0 A monopolist with cost function e(Q)-jo* faces a consumer whose demand functions are given by (a) [51 Suppose the monopolist cannot engage in any price discrimination. (b) [5) What is the deadweight loss (relative to the competitive market out (c) [5] Now, suppose price discrimination is possible. Find the monopolist's (d) [51 What information is required for the monopolist to be able to use Qi=20-P and Q-40-2P. Find the firm's optimal pricing strategy. Calculate the firm's Lerner index....
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