You are the sole producer of a novel polymer that has the potential to transform a number of other industries: synthetic clothing, medical devices, and sports equipment, for example. You have a patent on the chemical structure for this polymer for nine more years. From the entirety of industries that will use your product, you face a demand curve given by P = 400-10Q. (Units are in thousands of tons produced per year.) Your marginal cost curve is given by MC = 5+ 15Q. A. Identify the quantity at which you'll want to produce, Q', to maximize profit. (Round down to the nearest thousand tons of production.)
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- Suppose you are the economic adviser ofa company producing three brands of mobile pnones;Nokia 10, Samsung X and iPhone 7. Suppose further that, your company currently sells 120units of iPhone Z at e800 per unit, 150 units of Samsung X at e800 per unit and 200 units ofNokia 10 at e100 per unit, but in a bid to maximize profit, the company's managing directorproposes an increase in price of Samsung X from e800 to e1000 per unit for which quantitydemanded is anticipated to fall from 150 to 100 units; iPhone Z from e800 to e 1200 per unitfor which quantity demanded is anticipated to fall from 120 to 100 units; and Nokia 10 from100 to 200 per unit for which quantity demanded is expected to fall from 200 to 100 unitsUsing the mid-polint formula. compute the price elasticity of demand for each brand.From your answer in i, what is the type and economic interpretatiom of each brand'sii.value of elasticity.19.3 Suppose the oil industry in Utopia is perfectly competitive and that all firms draw oil from a single (and practically inex- haustible) pool. Assume that each competitor believes that it can sell all the oil it can produce at a stable world price of $10 per barrel and that the cost of operating a well for 1 year is $1,000. Total output per year (Q) of the oil field is a function of the number of wells (n) operating in the field. In particular, Q = 500n - n^2,and the amount of oil produced by each well (q) is given by q= Q/n= 500-n Describe the equilibrium output and the equilibrium number of wells in this perfectly competitive case. Is there a divergence between private and social marginal cost in the industry? Suppose now that the government nationalizes the oil field. How many oil wells should it operate? What will total output be? What will the output per well be? As an alternative to nationalization, the Utopian govern- ment is considering an annual license fee per well…Acme Drug Co. has a patent on the drug A-rene, the annual demand for which can be described by the demand curve: Q = 4500 - 300P. Production of the drug requires an annual fixed cost of $3,000 and a per unit marginal cost of $5. (i) How many units of the drug will Acme produce each year, and what price will it charge, in order to maximize its profits? What will be its annual profits? (ii) Now suppose that the Better Drug Co. has discovered B-rene, a new drug which seems to be identical to A-rene in all its effects. If Better enters the market, competition with Acme will conform to a Cournot duopoly. Better’s costs are identical to those of Acme. What would be the equilibrium outcome of this duopoly? Specifically, how much would each firm produce and what would be the price? How much profit would each firm make? Would Better find it profitable to enter the market? (iii) Would it be in the interests of society as a whole for Better Drug to enter into production? Identify the gainers and…
- A producer of ballpoint pens has been purchasing ink from an ink supplier and is considering acquiring the ink supplier. Would the pen company be more or less likely to vertically integrate by buying the ink manufacturer if the government taxes ink?Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by QE=4,000,000−100PE and QU=1,500,000−20PU where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only. a. What quantity of BMWs should the firm sell in each market, and what should the price be in each market? What should the total profit be? (round dollar amounts to the nearest penny and quantities to the nearest integer) In Europe equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000 In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500 BMW makes a total profit of $15.125 billion. I Need help with this part: If BMW were forced…Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by QE=4,000,000−100PE and QU=1,500,000−20PU where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only. a. What quantity of BMWs should the firm sell in each market, and what should the price be in each market? What should the total profit be? (round dollar amounts to the nearest penny and quantities to the nearest integer) In Europe equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000 In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500 BMW makes a total profit of $15.125 billion. I Need help with this part: If BMW were forced…
- 11 8. Suppose an industry produces an undifferentiated product for which market demand is given by X = A- P. There are many potential producers for this product, each of whom has a production function of the form: Fixed costs of F must be paid for being in business, and the marginal cost of a unit of production is a constant k . We imagine that firms decide whether to enter the industry under the supposition that, after all the firms that are going to enter do so, competition will be according to the Cournot model. That is, if N firms are in the market each has Cournot conjectures. An equilibrium is achieved with N firms in the industry if each firm, having its Cournot conjectures, does no worse than break even, whereas if another firm entered and made this an N + 1 firm Cournot oligopoly, all the firms would lose money. What is the equilibrium in this case? What (if anything) would be…Suppose that econometricians at Hallmark Cards determine that the price elasticity of demand for greeting cards is -2. (a) If Hallmark's marginal cost of producing cards is constant and equal to $1.00, use the Lerner Index to determine what price Hallmark should charge to maximize profit. (b) Suppose that Hallmark Cards wishes to know the price elasticity of demand faced by its archrival, American Greetings. Hallmark hires you to estimate it. Hallmark provides you with an educated guess concerning the marginal cost of producing a greeting card, which they estimate to be constant and equal to $1.22. A quick trip to the store tells you that American Greetings is selling its cards for an average of $3.25. Using these numbers and assuming that American Greetings is maximizing profit, calculate the price elasticity of demand faced by American Greetings Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You…. (Requires calculus). In the model of a dominant firm, assume that the fringe supply curve is given by Q = -1 + 0.2P, where P is market price and Q is output. Demand is given by Q = 11 – P.What will price and output be if there is no dominant firm? Now assume that there is a dominant firm, whose marginal cost is constant at $6. Derive the residual demand curve that it faces and calculate its profit-maximizing output and price. highest bidder, but both the winning and losing bidders must pay her their bids. So if Jones bids $1 they pay a total of $3, but Jones gets the money, leaving him with a net gain of $98 and Smith with -$1. If both bid the same amount, the $100 is split evenly between them. Assume that each of them has only two $1 bills on hand, leaving three possible bids: $0, $1 or $2. Write out the payoff matrix for this game, and then find its Nash equilibrium.
- The cost function for producing ethanol from municipal waste (wastehol) is 1000+10q2where q is in millions/gallons per year. The demand for wastehol is currently perfectly inelastic at 5 million gallons per year. Assume that producers of wastehol are perfectly competitive. California is deciding whether to convert all wastehol producers into a regulated wastehol utility. If wastehol is a regulated monopoly utility with the cost function above, what price would regulators set as the price of wastehol? Now assume that the wasteahol market has boomed and demand has grown to 20 (again million gallons per year). Now what is the regulated price of wastehol? You are the wastehol producer and are trying to decide whther to lobby for deregulating the wastehol industry. If wastehol were deregulated, if demand remains 20, what would the perfectly competitive price be? If you are a wastehol customer, you would prefer a deregulated industry if demand were 20? True/False?A large share of the world supply of diamondscomes from Russia and South Africa. Suppose thatthe marginal cost of mining diamonds is constant at$1,000 per diamond and the demand for diamonds isdescribed by the following schedule:Price Quantity$8,000 5,000 diamonds7,000 6,0006,000 7,0005,000 8,0004,000 9,0003,000 10,0002,000 11,0001,000 12,000a. If there were many suppliers of diamonds, whatwould be the price and quantity?b. If there were only one supplier of diamonds, whatwould be the price and quantity?c. If Russia and South Africa formed a cartel, whatwould be the price and quantity? If the countriessplit the market evenly, what would be SouthAfrica’s production and profit? What wouldhappen to South Africa’s profit if it increased itsproduction by 1,000 while Russia stuck to thecartel agreement?d. Use your answers to part (c) to explain why cartelagreements are often not successful.Let’s assume that in California a corporation that produces electricity controls the market where its electricity is purchased and sold, then it would most probably Group of answer choices have legal protection to prevent copying its methods of production for commercial use. cut production, raise prices and realize positive economic profits. have a patent giving it exclusive legal rights to make, use, and sell for a limited time. export its product to other countries.