There are two types of consumers: one half of consumers are type 1 (low type) and the other halfare type 2 (high type). Type l's demand curve is q1 = 4 – P, while type 2's demand is given byq2 = 6 – P. Consider a monopolist selling its product to these consumers. Assume that the marginalcost is equal to zero.However, the firm does not know an individual consumer's type. It only knows that there are twotypes of consumers with demand curves given as above. Suppose that the firm can offer only a singletwo-part tariff, (T, P), where T is the lump-sum fee and P is the unit price.(1)T and P? Also, compute the resulting profit.If the firm serves only high type consumers, what should be the optimal two-part tariff,If the firm serves both types of consumers, what is the firm's profit when it offers (T, P)?(2)Find the expression in terms of P only.(3)well as the resulting profit.Compute P that maximizes the firm's profit in (2). Also, compute the optimal T, as(4)tariff will be chosen by the firm. Also, compute the social surplus from the two-part tariff chosenby the firm.Compare the profit from (1) and the profit from (3), and determine which two-part

Two - part tariff is a kind of pricing strategy used by a monopolist in which it charges a consumer…

Answered: There are two types of consumers: one…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider a downstream monopolist producing a final good that requires two inputs in fixed proportions. Input 1 is produced by upstream monopolist U1 and input 2 is produced by upstream monopolist U2. Suppose that the demand function for the final product is linear and the marginal costs of production for the upstream producers and final producer (other than for the two inputs) are equal to zero. What is the effect of a merger between the two upstream producers? a) The merger reduces the quantity of the final product sold to consumers and the merged firm's profits. b) The merger reduces the quantity of the final product sold to consumers and increases the merged firm's profits c) The merger increases the quantity of the final product sold to consumers and the merged firm's profits. d) The merger increases the quantity of the final product sold to consumers and decreases the merged firm's profits. e) Cannot be determined given the information provided.
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.
Suppose that Noah and Naomi have a monopoly in the garden bench market. Their weekly demand is D(P) = 500 - 4P. What is the inverse demand function
Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 110-Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: π = P₁ Q₁ + P₂ (Q₂ −Q₁) + P3 (Q3 − Q₂) - mQ3, where p₁ is the high price charged on the first units Q₁ (first block) and P2 is a lower price charged on the next (Q₂ -Q₁) units and p3 is the lowest price charged on the (Q3 - Q₂) remaining units. Q3 is the total number of units actually purchased, and m = 75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for P₁, P2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny) P₁ P₂ = $ P3 = $ The firm's profit is $ 9 and
Exercise 3.8. Dayna's Doorstops, Inc. (DD) is a monopolist in the doorstop industry. Its cost is C = 100 - 5Q + Q², and demand is P = 55 - 2Q. a) What price should DD set to maximize profit? What output does the firm produce? How much profit and consumer surplus does DD generate? b) What would output be if DD acted like a perfect competitor and set MC = P? What profit and consumer surplus would then be generated? c) What is the deadweight loss from monopoly power in part (a)? d) Suppose the government, concerned about the high price of doorstops, sets a maximum price at $27. How does this affect price, quantity, consumer surplus, and DD's profit? What is the resulting deadweight loss? e) Now suppose the government sets the maximum price at $23. How does this decision affect price, quantity, consumer surplus, DD's profit, and deadweight loss? f) Finally, consider a maximum price of $12. What will this do to quantity, consumer surplus, profit, and deadweight loss?
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
A movie monopolist sells to college students and other adults. The demand function for students is Q = 840 - 100P, and the demand function for other adults is Q = 1,600 - 100P. Costs is c(Q) = 12 +0.005Q2m per ticket, where Q=Qs+ QA- Instructions: Round your answers to 2 decimal places. a. What prices will the monopolist set when she can discriminate? Pstudent = $ per ticket. Padult = $ Profit = $ per ticket. b. What if demand for adults increases to Q = 1,800 - 100P? Pstudent = $ Padult = $ Profit = $ per ticket. per ticket. c. When adult demand increases, the adult price: decreases. does not change. increases. d. When adult demand increases, the student price: decreases. increases. does not change.
Consider a monopolist facing a market demand given by: P = 200 - 4Q. Where P is the price and Q is the quantity. The monopolist produces the good according to the cost function c(Q) = Q2 + 5. Determine the profit maximizing quantity and price the monopolist will offer in the market. Calculate the profits for the monopolist. Calculate the deadweight loss due to a monopoly. Illustrate this in a well labelled diagram. I will thumbs up solution if it is original answer and not from ChatGPT, if ChatGPT is used I will thumbs-down and report to Chegg as ChatGPT returns the incorrect answer here and I'm stuck. Thank you! :)
You are the manager of a monopolist that produces women shoes and faces a random marginal cost. The demand for women shoes is O = 1000 - 0.1P Marginal cost can be constant at either $60 with a probability of 50% or $40 with a probability of probability of 50%. Draw a graph and plot the demand for shoes. Derive the marginal revenue curve and plot it on the graph. Find the price and output that maximize profits. Find the firm's profits.
A wholesaler (upstream firm) sells a product to a retailer (downstream firm). Both the wholesaler and the retailer are monopolists. The wholesaler faces a constant marginal cost of $2 and charges the retailer a wholesale price w. The retailer resells the product to final consumers at price P and the wholesale price w is its only cost. The demand for the good is P = 12 - Q. For your calculations below, assume that both the P and w are measured in dollars per unit. Hint: The retailer's profit function is π = (Pw)Q. a Find the profit-maximizing retail and wholesale prices and quantities.
Suppose 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.
There are two firms. Firm 1 (or, a small firm) produces a single product, product A, at zero cost. Firm 2 (or, a big firm) is a multi-product firm that sells both products A and B. Firm 2 is less efficient in producing A. It incurs a constant marginal cost c > 0 for producing A. However, firm 2 is a monopolist of the market of product B and its cost of producing productB is zero. A unit mass (i.e. a total measure of 1) of consumers all have the same preference which is known to producers, and view the two products as independent. To consumers, the value of product A is vA > c while the value of product B is vB > 0. If a consumer buys both products, the gross payoff is vA + vB . (Note that, unlike in the lecture slides where consumers are heterogenous and their values are distributed in [0, 1], here the setting is simpler and all consumers are homogenous and have the same vA and vB) Firms compete in prices and set their prices simultaneously and independently. We assume…

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