A profit maximizing monopolist has a cost function C (g) = q, where q > 0 %3D denotes the amount produced, and faces the aggregate demand curve 100/p where p > 0 denotes the price per unit in the market. Assume that q = the monopolist chooses an optimal price in the range p E [1, 3]. The optimal price the monopolist would set up is _ while the Lerner index is. Blank # 1

A profit maximizing monopolist has a cost function C (g) = q, where q > 0 %3D denotes the amount produced, and faces the aggregate demand curve 100/p where p > 0 denotes the price per unit in the market. Assume that q = the monopolist chooses an optimal price in the range p E [1, 3]. The optimal price the monopolist would set up is _ while the Lerner index is. Blank # 1

Economics:

10th Edition

ISBN:9781285859460

Author:BOYES, William

Publisher:BOYES, William

Chapter28: Antitrust And Regulation

Section: Chapter Questions

Problem 8E

See similar textbooks

Similar questions

Suppose a monopolist faces two markets withdemand curves given by D1(p1) = 200 − p1D2(p2) = 100 − 2p2Assume that the monopolist’s cost function is c(y) = y2 1. What is the optimal prices for the monopolist if it can charge different prices in these markets?2. What is the optimal price if the monopolist must charge the same price in each market?3. How much total consumers’ surplus changes between the two separate prices and the sameprice cases?
There is a monopolist,ConcreteMex,in the concretemarketin Mexico. The demand function is QD= 100–50p. The marginal cost of production isc=0.4. (referencing) Question 1.3 ConcreteMex claimed the high price is due to high transportation costs and persuaded the government to help cut down the costs. As a result, for every unit of concrete sold, the government subsidizes ConcreteMex 0.2dollars. What are the new profit-maximizing price and production levels for ConcreteMex? Under the subsidy policy and the new price in Question 1.3, calculate the consumer surplus, producer surplus, and deadweight loss. You do not need to consider government spending for the deadweight loss.
A monopolist faces a market demand curve given by Q(p) = 70 – p. Its total costs are described by TC(Q) = 3ố0 Q³ – 5Q + 250. 1 a) Derive the monopoly price, quantity, and profits. b) Calculate Lerner Index under the monopoly equilibrium. c) Now suppose the government sets the maximum price at $40. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss? d) Suppose the government sets the maximum price at $30. What output level and price level will the monopolist choose to maximize profits? What is the deadweight loss?
Suppose a monopoly market has a demand function in whichquantity demanded depends not only on market price (P) butalso on the amount of advertising the firm does (A, measuredin dollars). The specific form of this function isQ =(20 - P2) (1 + 0.1A - 0.01A2).The monopolistic firm’s cost function is given byC = 10Q + 15 + A.a. Suppose there is no advertising (A = 0). What outputwill the profit-maximizing firm choose? What market price will this yield? What will be the monopoly’sprofits?b. Now let the firm also choose its optimal level of advertising expenditure. In this situation, what output levelwill be chosen? What price will this yield? What will thelevel of advertising be? What are the firm’s profits in thiscase? Hint: This can be worked out most easily by assuming the monopoly chooses the profit-maximizing pricerather than quantity.
On the market of good Y there are 100 identical consumers. Each consumer has a demand function q=360-2p Good 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 obtainable. Your Answer: Answer
Consider a monopolist facing two consumers with the following two inverse demand functions: P=200-4Q1 and P=122- 6Q2. Assume that fixed costs are zero and that the marginal cost is equal to $8.a) Suppose the monopolist can differentiate between the two consumers. The monopolist decides to use a twoparttariff that permits both consumers to stay in the market. Solve for each consumer’s demand, fixed fee andmonopolist profits. b) Assume the monopolist cannot differentiate between the two consumers and hence cannot apply a two-parttariff. He decides to serve both consumers. Solve for the equilibrium aggregate demand and price in themarket, demand of each consumer and the monopolist profit.
Consider a monopolist that sells cable subscriptions. When the price is $10 a week, it can sell 175 subscriptions. When the price is $15 a week, it can sell 100 subscriptions. The monopolist has fixed costs of $200. The MC for the provision of the cable is $6 a week. If this monopolist must choose between selling 100 or 175 subscriptions, it will choose to sell units at a price of and earn economic profits equal to 175; $10; $700 100; $15; $700 175; $15; $900 100; $15; $900 none of the above
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. Calculate the profit maximising price as a function of the consumer’s income Y carefully explaining all the steps in the derivation of the formula. B. 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=1,200-200P1. Calculate the profit maximising output produced and price charged in each country by the…
A nightclub manager realizes that demand for drinks is more elastic among students, and is trying to determine the optimal pricing schedule. Specififically, he estimates the following average demands: • Under 25: qr= 18 − 5p • Over 25: q = 10 − 2p The two age groups visit the nightclub in equal numbers on average. Assume that drinks cost the nightclub $2 each. (a) If the market cannot be segmented, what is the uniform monopoly price? (b) If the nightclub can charge according to whether or not the customer is a student but is limited to linear pricing, what price (per drink) should be set for each group? (c) If the nightclub can set a separate cover charge and price per drink for each group, what two-part pricing schemes should it choose? (d) Now suppose that it is impossible to distinguish between types. If the nightclub lowered drink prices to $2 and still wanted to attract both types of consumers, what cover charge would it set? (e) Suppose that the nightclub again restricts itself…
A monopolist faces the following market demand function: D(P) = 100 – P and has total costs equal to TC(Q) = 100 + 100 Show that the monopolist's cost function is subadditive for all relevant levels of demand (for all Q< 100). (Hint: Let EN Qi = Q be a way to split up the total production of quantity Q in N different firms. You can then use the fact that the minimum of EN Q? is reached at Qi = 8.)
14.22. A monopolist has a cost function of c(y) = y so that its marginal costs are constant at $1 per unit. It faces the following demand curve: 0, D(p) = { 100/p if p 20; (a) What is the profit-maximizing choice of output? (b) If the government could set a price ceiling on this monopolist in order to force it to act as a competitor, what price should they set? (c) What output would the monopolist produce if forced to behave as a competitor?
The monopolist faces the demand curve D(p) = 100 – 2p. Its cost function is c(y) = 2y. What is your optimal level of production and prices? Solve mathematically and graph