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982:. The marginal revenue for a monopolist is the private gain of selling an additional unit of output. The marginal revenue curve is downward sloping and below the demand curve and the additional gain from increasing the quantity sold is lower than the chosen market price. Under monopoly, the price of all units lowers each time a firm increases its output sold, this causes the firm to face a diminishing marginal revenue.
1569:. The Lerner index is a measure of market power β the ability of a firm to charge a price that exceeds marginal cost. The index varies from zero (when demand is infinitely elastic (a perfectly competitive market) to 1 (when demand has an elasticity of β1). The closer the index value is to 1, the greater is the difference between price and marginal cost. The Lerner index increases as demand becomes less elastic.
1449:
imperfect competition market that lower prices by a small portion benefit from a large percentage increase in quantity sold and this generates greater marginal revenue. With that, a rational firm will recognize the value of price effects under an elastic demand function for its products and would avoid increasing prices as the quantity (demand) lost would be amplified due to the elastic demand curve.
140:. The marginal revenue (the increase in total revenue) is the price the firm gets on the additional unit sold, less the revenue lost by reducing the price on all other units that were sold prior to the decrease in price. Marginal revenue is the concept of a firm sacrificing the opportunity to sell the current output at a certain price, in order to sell a higher quantity at a reduced price.
42:
derive the value of marginal revenue, it is required to examine the difference between the aggregate benefits a firm received from the quantity of a good and service produced last period and the current period with one extra unit increase in the rate of production. Marginal revenue is a fundamental tool for economic decision making within a firm's setting, together with
1532:
After some production, the company spends $ 10 in materials and labor to build the 1st toy airplane. The 1st toy airplane sells for $ 15, which means the profit on that toy is $ 5. Now, suppose that the 2nd toy airplane also costs $ 10, but this time it can be sold for $ 17. The profit on the 2nd toy airplane is $ 12 greater than the profit on the 1st toy airplane.
1523:, for every unit of input added to a firm, the return received decreases. When a variable factor of production is put into a firm at a constant level of technology, the initial increase in this factor of production will increase output, but when it exceeds a certain limit, the increased output will diminish and will eventually reduce output in absolute terms.
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consumers are less sensitive and responsive to lower prices movement and so the expected product sales boost is highly unlikely and firms lose more profits due to reduction in marginal revenue. A rational firm will have to maintain its current price levels instead or increase the price for profit expansion.
1503:
Suppose consumers want to buy an additional lipstick. If the consumer is willing to pay $ 50 for this extra lipstick, the marginal income of the purchase is $ 50. However, the more lipsticks consumers have, the less they pay for the next lipstick. This is because as consumers accumulate more and more
990:
A company will stop producing a product/service when marginal revenue (money the company earns from each additional sale) equals marginal cost (the cost the company costs to produce an additional unit). Therefore, a company is making money when MR is greater than marginal cost (MC). And when MC = MR,
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The marginal revenue curve is affected by the same factors as the demand curve β changes in income, changes in the prices of complements and substitutes, changes in populations, etc. These factors can cause the MR curve to shift and rotate. Marginal revenue curve differs under perfect competition and
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Monopolist firm, as a price maker in the market, has the incentives to lower prices to boost quantities sold. The price effects occur when a firm raises its products' prices and increased revenue on each unit sold. The quantity effect, on the other hand, describes the stage when prices increased and
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Markup is the difference between price and marginal cost. The formula states that markup as a percentage of price equals the negative (and hence the absolute value) of the inverse of the elasticity of demand. A lower elasticity of demand implies a higher markup at the profit maximising equilibrium.
1540:
Profit maximization requires that a firm produces where marginal revenue equals marginal costs. Firm managers are unlikely to have complete information concerning their marginal revenue function or their marginal costs. However, the profit maximization conditions can be expressed in a βmore easily
41:
generated by increasing product sales by 1 unit. Marginal revenue is the increase in revenue from the sale of one additional unit of product, i.e., the revenue from the sale of the last unit of product. It can be positive or negative. Marginal revenue is an important concept in vendor analysis. To
1531:
In contrast to the law of diminishing marginal returns, in a knowledge-dependent economy, as knowledge and technological inputs increase, the output increases and the producer's returns tend to increase. This is an example of increasing marginal revenue; suppose a company produces toy airplanes.
1448:
Increases in consumer's responsiveness to small changes in prices leads represents an elastic demand curve (e>1), resulting in a positive marginal revenue (MR) under monopoly competition. This signifies that a percentage change in quantity outweighs the percentage change in price. Firms in the
1444:
curve (e<1), it implies that a percentage change in quantity is less than the percentage change in price. By increasing quantity sold, the firm is forced to accept a reduction of price for all the current and previous production units, resulting in a negative marginal revenue (MR). As such, as
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Therefore, it is essential to be aware of the elasticity of demand. A monopolist prefers to be on the more elastic end of the demand curve in order to gain a positive marginal revenue. This shows that a monopolist reduces output produced up to the point where marginal revenue is positive.
104:
firm is a large producer in the market and changes in its output levels impact market prices, determining the whole industry's sales. Therefore, a monopoly firm lowers its price on all units sold in order to increase output (quantity) by 1 unit. Since a reduction in price leads to a decline in
1345:
1510:
Suppose customers are considering buying 10 computers. If the marginal income of the 11th computer is $ 2, and the computer company is willing to sell the 11th component to maximize its consumer interest, the company's marginal income is $ 2 and consumers' marginal income is $ 2.
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will always get the same price for every unit it sells regardless of the number of units the firm sells since the firm's sales can never impact the industry's price. Therefore, in a perfectly competitive market, firms set the price level equal to their marginal revenue
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967:, there are multiple firms present in the market. Changes in the supply level of a single firm does not have an impact on the total price in the market. Firms follow the price determined by market equilibrium of supply and demand and are
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If the firm is a perfect competitor, where quantity produced and sold has no effect on the market price, then the price elasticity of demand is negative infinity and marginal revenue simply equals the (market-determined) price
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978:, one firm is a sole seller in the market with a differentiated product. The supply level (output) and price is determined by the monopolist in order to maximise profits, making a monopolist a
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market, the incremental revenue generated by selling an additional unit of a good is equal to the price the firm is able to charge the buyer of the good. This is because a firm in a
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Marginal revenue is equal to the ratio of the change in revenue for some change in quantity sold to that change in quantity sold. This can be formulated as:
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If a company can sell 10 units at $ 20 each or 11 units at $ 19 each, then the marginal revenue from the eleventh unit is (11 Γ 19) β (10 Γ 20) = $ 9.
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consumers quantity demanded reduce. Firms' pricing decision, therefore, is based on the tradeoff between the two outcomes by considering elasticity.
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it is called profit maximization. After this point; the company can no longer make a profit. Therefore, it is in their interest to stop production.
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2121:
1987:
1882:
1700:
Primont, D. F., & Primont, D. (1995). Further
Evidence of Positively Sloping Marginal Revenue. Southern Economic Journal, 62(2), 481β485.
2314:
1340:{\displaystyle MR=dR/dQ=P+{\frac {dP}{dQ}}\cdot Q=P+\left({\frac {dP}{dQ}}{\frac {Q}{P}}\right)\cdot P=P\cdot \left(1+{\frac {1}{e}}\right),}
971:. The marginal revenue curve is a horizontal line at the market price, implying perfectly elastic demand and is equal to the demand curve.
307:
This can also be represented as a derivative when the change in quantity sold becomes arbitrarily small. Define the revenue function to be
214:
then the firm will decrease output to gain additional profit. Thus the firm will choose the profit-maximizing level of output for which
2222:
2016:
1373:
1712:
Wilson, T. (1979). The Price of Oil: A Case of
Negative Marginal Revenue. The Journal of Industrial Economics, 27(4), 301β315.
1673:
Roger LeRoy Miller, "Intermediate
Microeconomics Theory Issues Applications, Third Edition", New York: McGraw-Hill, Inc, 1982.
2383:
2347:
2146:
2097:
1963:
1858:
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1745:
470:
where the prime sign indicates a derivative. For a firm facing perfect competition, price does not change with quantity sold
1655:
Edwin
Mansfield, "Micro-Economics Theory and Applications, 3rd Edition", New York and London:W.W. Norton and Company, 1979.
1166:{\displaystyle \left({\frac {dR}{dQ}}\right)=\left({\frac {dQ}{dQ}}\right)\cdot P+\left({\frac {dP}{dQ}}\right)\cdot Q}
259:
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2496:
2486:
1930:
1820:
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revenue on each good sold by the firm, the marginal revenue generated is always lower than the price level charged
392:
760:
2504:
O'Sullivan, Arthur; Sheffrin, Steven M. (2003). Economics: Principles in Action. Pearson
Prentice Hall.
2530:
2414:
1367:
1000:
706:
313:
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Tirole, Jean, "The Theory of
Industrial Organization", Cambridge, Massachusetts: The MIT Press, 1988.
875:
820:
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975:
691:{\displaystyle {\frac {\Delta TR}{\Delta Q}}=\left({\frac {\$ 1029-\$ 1000}{21-20}}\right)=\$ 29}
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Then if the firm increases quantity sold to 21 units of books at $ 49 each, this earns
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23:
Linear marginal revenue (MR) and average revenue (AR) curves for a firm that is not in
1691:
John Black, "Oxford
Dictionary of Economics", New York: Oxford University Press, 2003.
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2482:
2481:
Perloff, J., 2008, Microeconomics: Theory & Applications with
Calculus, Pearson.
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then a profit-maximizing firm will increase output to generate more profit, while if
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2141:. Applegate, Michael. (9e ed.). Mason, Ohio: South-Western Cengage Learning.
2491:
Pindyck, R & Rubinfeld, D 2001: Microeconomics 5th ed. Page
Prentice-Hall.
1646:
Bradley R. chiller, "Essentials of
Economics", New York: McGraw-Hill, Inc., 1991.
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If a firm sells 20 units of books (quantity) for $ 50 each (price), this earns
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Bondarenko, Peter. "microeconomics". Encyclopedia Britannica, Mar 25, 2023,
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Landsburg, S 2002 Price Theory & Applications, 5th ed. South-Western.
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lipsticks, the benefits of having an additional lipstick will be reduced.
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979:
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Then, by first order derivation, marginal revenue would be expressed as
16:
Additional total revenue generated by increasing product sales by 1 unit
1615:
994:
2134:
1853:. Rubinfeld, Daniel L. (Global edition, Eighth ed.). Boston .
1811:
Fisher, Timothy C. G.; Prentice, David; Waschik, Robert G. (2010).
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515:
101:
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Goldstein, Larry Joel; Lay, David C.; Schneider, David I. (2004).
1713:
1701:
951:
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38:
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1601:
2501:
Samuelson & Marks, 2003 Managerial Economics 4th ed. Wiley
1565:(P β MC)/ P = β1/e is called the Lerner index after economist
1426:{\displaystyle e=\left({\frac {dQ}{dP}}{\frac {P}{Q}}\right)}
1925:(10th ed.). Upper Saddle River, NJ: Pearson Education.
2338:
Paul Krugman; Robin Wells; Iris Au; Jack Parkinson (2013).
1773:(5th ed.). Mason, OH: South-Western Cengage Learning.
2376:
Mathematics for economists : an introductory textbook
2449:
2447:
2378:(3rd ed.). Manchester: Manchester University Press.
1495:
2017:"Revenue Curves under Different Markets (With Diagram)"
146:
occurs at the point where marginal revenue (MR) equals
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Alternatively, the relationship can be expressed as:
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Therefore, using the marginal revenue formula (MR) =
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2286:"3.3: Marginal Revenue and the Elasticity of Demand"
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Relationship between marginal revenue and elasticity
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so marginal revenue is less than price for positive
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1669:
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Taking the first order derivative of total revenue:
1003:by the firm's customers can be derived as follows:
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999:The relationship between marginal revenue and the
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2315:"Marginal Revenue and Price Elasticity of Demand"
2090:Microeconomics : theory through applications
703:If a firm's total revenue function is written as
2517:
1813:Managerial economics : a strategic approach
1658:
298:{\displaystyle MR={\frac {\Delta TR}{\Delta Q}}}
2439:https://www.britannica.com/topic/microeconomics
1740:(10th ed.). New York: McGraw-Hill/Irwin.
1736:Schiller, Bradley R.; Gebhardt, Karen (2017).
1584:is β2 and MC is $ 5.00 then price is $ 10.00.
986:Marginal revenue curve and marginal cost curve
33:(or marginal benefit) is a central concept in
1685:
1362:) is the inverse of the demand function, and
514:so marginal revenue is equal to price. For a
2453:Pindyck, R & Rubinfeld, D (2001) p. 334.
2342:(3rd ed.). New York: Worth Publishers.
2135:McLean, William J. (William Joseph) (2013).
2088:Russell W. Cooper; Alun Andrew John (2011).
1676:
1642:
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1638:
1636:
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2459:
2374:Pemberton, Malcolm; Rau, Nicholas (2011).
2120:: CS1 maint: location missing publisher (
2065:"Demand in a Perfectly Competitive Market"
1986:: CS1 maint: location missing publisher (
1897:"3.2: Monopoly Profit-Maximizing Solution"
1881:: CS1 maint: location missing publisher (
1649:
947:Marginal revenue under perfect competition
1801:O'Sullivan & Sheffrin (2003), p. 112.
1706:
1633:
938:
518:, the price decreases with quantity sold
2041:"The Supply Curve of a Competitive Firm"
950:
942:
460:{\displaystyle R'(Q)=P(Q)+P'(Q)\cdot Q,}
18:
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1847:Pindyck, Robert S. (3 December 2014).
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1496:Marginal revenue and Marginal benefit
809:{\displaystyle R(Q)=(Q)\cdot (200-Q)}
1731:
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1721:
1440:When a monopolist firm is facing an
386:, marginal revenue is then given by
37:that describes the additional total
2415:"Leibniz: The elasticity of demand"
2199:"Marginal revenue for a monopolist"
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1536:Marginal revenue and markup pricing
1515:Law of diminishing marginal returns
13:
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2172:"Marginal Revenue (MR) Definition"
2003:
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1527:Law of increasing marginal returns
960:imperfect competition (monopoly).
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2138:Economics and contemporary issues
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749:{\displaystyle R(Q)=P(Q)\cdot Q,}
356:{\displaystyle R(Q)=P(Q)\cdot Q,}
2246:Boyce, Paul (February 6, 2021).
2000:Landsburg, S Price 2002. p. 137.
1958:(Ninth ed.). Stamford, CT.
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1714:https://doi.org/10.2307/2097955
1702:https://doi.org/10.2307/1060699
955:Marginal revenue under monopoly
923:{\displaystyle MR=R'(Q)=200-2Q}
861:{\displaystyle R(Q)=200Q-Q^{2}}
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2248:"Marginal Revenue Definition"
1956:Price theory and applications
1954:Landsburg, Steven E. (2013).
249:
1771:Principles of microeconomics
7:
2313:Rekhi, Samia (2016-05-16).
2015:Kumar, Manoj (2015-05-08).
1769:Mankiw, N. Gregory (2009).
1593:
10:
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1368:price elasticity of demand
553:{\displaystyle P'(Q)<0}
2441:. Accessed 21 April 2023.
2203:www.economics.utoronto.ca
1815:. Routledge. p. 33.
935:MR = 200 β 2(40) = $ 120
603:: P*Q = $ 49*21 = $ 1029
596:: P*Q = $ 50*20 = $ 1000
133:{\displaystyle (MR<P)}
1626:
207:{\displaystyle MR<MC}
175:{\displaystyle MR>MC}
2092:. Arlington, Virginia.
1738:Essentials of economics
505:{\displaystyle P'(Q)=0}
2465:Perloff (2008) p. 371.
2264:Perloff (2008) p. 364.
2227:saylordotorg.github.io
2045:saylordotorg.github.io
1580:Thus, for example, if
1482:
1481:{\displaystyle (MR=P)}
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939:Marginal revenue curve
932:Therefore, if Q = 40,
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86:{\displaystyle (MR=P)}
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2290:Social Sci LibreTexts
1901:Social Sci LibreTexts
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239:{\displaystyle MR=MC}
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2319:Economics Discussion
2223:"The Monopoly Model"
2021:Economics Discussion
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1621:Profit maximization
1557:(P β MC)/ P = β1/e.
965:perfect competition
144:Profit maximization
25:perfect competition
1541:applicable formβ:
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2531:Marginal concepts
2419:www.core-econ.org
2385:978-0-7190-8705-9
2349:978-1-4292-4005-5
2170:Tuovila, Alicia.
2148:978-1-111-82339-9
2099:978-1-4533-1328-2
1965:978-1-285-42352-4
1860:978-1-292-08197-7
1780:978-0-324-58998-6
1747:978-1-259-23570-2
1576:P = MC/(1 + 1/e).
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2180:
2178:
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2129:
2113:
2112:
2100:
2086:
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2063:
2062:
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2049:
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527:
525:
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474:
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396:
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380:demand function
315:
312:
311:
285:
274:
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261:
258:
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219:
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187:
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183:
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2340:Microeconomics
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2056:
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1993:
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1850:Microeconomics
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2520:Categories
2473:References
2424:2020-10-27
2324:2020-10-27
2296:2020-10-27
2232:2020-10-26
2208:2020-10-26
2181:2020-10-26
2074:2020-10-26
2050:2020-10-26
2026:2020-10-26
1907:2020-10-26
1616:Cost curve
1508:Example 2:
1501:Example 1:
701:Example 2:
590:Example 1:
250:Definition
2394:756276243
2358:796082268
2252:Boycewire
2157:775406167
2116:cite book
2108:953968136
1982:cite book
1974:891601555
1877:cite book
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1831:432989728
1789:226358094
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