ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 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?arrow_forwardSuppose a monopolist faces a market demand that is the first two columns in the table below. Also, in the short run, assume that Total Fixed Cost equals $100 and the monopolist has Total Variable Cost according to the table. Find Total Revenue for each price and quantity combination, and then Marginal Revenue as price falls and quantity increases. Fill in the rest of the costs in the table and find profit at each price and quantity combination as the difference between Total Revenue and Total Cost. If profit is less than zero that indicates a loss. What is the maximum profit you found in this table? At what quantity and price combination is profit maximized for this monopolist? Next, verify this result by using Marginal Analysis to find the profit maximizing price and quantity combination. For each quantity, ask yourself if Marginal Revenue exceeds Marginal Cost. If it does, then profits would be increased by producing that quantity. As you go down the table to higher quantities, stop…arrow_forwardConsider a monopolist with a total cost function given as C(Q) = 1.5Q2 + 40Q that faces an inverse market demand function P(Q) = 280 − 0.5Q **Calculate the profit-maximizing quantity, price, and economic profits for this monopolist, with the government imposing a $20 per unit tax. Quantity: ? (Round your answer to two decimal places). Price: ? (Round your answer to two decimal places). Economic profits: $ ? (Round your answer to two decimal places).arrow_forward
- Eyeglasslux is a single-price monopolist in the eye-glass frame market. It faces a Market demand given by Q=378-2P. Its Total Cost function is TC=6,422+20Q and Marginal Cost is MC=20. If the government imposes a price ceiling of $27, what is the monopolist's QUANTITY in the SHORT- run?arrow_forwardA monopolist faces the demand curve Q = 144 / P2, where Q is the quantity demanded and P is price. Its average variable cost is AVC = Q1/2 and its fixed cost is 20. What is the monopolist's profit-maximizing quantity, price, and profit?arrow_forwardA 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.arrow_forward
- 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! :)arrow_forwardA monopolist knows there are two customers with different demand curves for two differently sized bags of potato chips. Customer S would only buy the small bag and has a willingness-to-pay given by P=160-2q (where P denotes the price and q denotes the quantity). Customer L would buy the large bag and has a willingness-to-pay given by P=200-q. The monopolist does not know who is customer S and who is customer L. Marginal cost of production is zero. BEFORE second degree price discrimination, and if the monopolist perfectly price discriminated the small bag, what is the price of the small bag?arrow_forwardConsider the case of a monopolist who has the ability to perfectly price discriminate by charging each one of its customers a two-part tariff. Suppose for simplicity that there are only two consumers, Mary and Terry. Mary demand for the good is 2/3 of the aggregate demand. The aggregate demand is given by Q=550-3p, where Q denotes the total quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 5 Q + 100 Find the two-part tariff that the firm will charge Mary in order to maximize its profit. Then enter the fee of this two-part tariff below. (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)arrow_forward
- 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 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=1,200-200P2. Calculate the profit maximising output produced and price charged in each country by the price-discriminating monopolist and comment in which country the price charged is higher and by how much. Explain if your answer above is as expected by…arrow_forwardA monopolist has a cost function c(q) = 5q+800 and faces aggregate demand q=3000 - 120p. Suppose first that monopolist sells q=400 units. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would be Now suppose that the monopolist chooses q to maximize its profit. The monopolist's revenue would be The monopolist profit would be The absolute value of the price elasticity of demand would be The consumer surplus would bearrow_forwardThere are two types of consumers: one half of consumers are type 1 (low type) and the other half are type 2 (high type). Type l's demand curve is q1 = 4 – P, while type 2's demand is given by q2 = 6 – P. Consider a monopolist selling its product to these consumers. Assume that the marginal cost is equal to zero. However, the firm does not know an individual consumer's type. It only knows that there are two types of consumers with demand curves given as above. Suppose that the firm can offer only a single two-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…arrow_forward
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