Chapter 21 Profit, Loss, and Perfect Competition Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-1 Objectives • • • • • • • • • Marginal Revenue Profit maximization and loss minimization The short-run supply curve The characteristics of perfect competition The perfect competitor in the short run and long run The long-run supply curve The shut-down and break-even points Economic efficiency Economic profits and accounting profits Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-2 Graphing Demand and Marginal Revenue Total Revenue is price X output Marginal revenue is the increase in total revenue when output sold goes up by one unit Output Price Total Revenue Marginal Revenue 1 $5 $ 5 $5 2 5 10 5 3 5 15 5 4 5 20 5 5 5 25 5 6 5 30 5 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-3 Graphing Demand and Marginal Revenue Output Price Total Revenue Marginal Revenue 1 $5 $ 5 $5 6 2 5 10 5 5 3 5 15 5 4 4 5 20 5 3 5 5 25 5 2 6 5 30 5 1 D,MR 0 0 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 1 2 3 4 Output 5 6 21-4 Economic and Accounting Profits • Accounting profits are what is left over from total revenue after a firm has paid all of its explicit cost – Explicit cost is the cost of doing business • rent, wages, cost of goods sold, fuel, taxes, etc. Total Revenue - Total Cost (explicit cost) Accounting Profit $4,300,000 3,750,000 550,000 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-5 Economic and Accounting Profits • Economic profits are what is left over from accounting profits after a firm has subtracted its implicit cost – Implicit cost are a firm’s opportunity cost • the opportunity cost of any choice is the forgone value of the next-best alternative Suppose you have invested $100,000 of your own money in your business. You could have earned $15,000 interest on this money. Instead of you and your spouse working 12 hours a day, seven days a week, both could have earned $70,000 working for someone else. ($15,000 + $70,000 = $85,000 implicit cost) Accounting profit $ 85,000 - Explicit cost Economic Profit 85,000 0 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-6 Economic and Accounting Profits • Why stay in business if your economic profits are zero? – You are still making accounting profits – You wouldn’t do any better if you invested your money elsewhere and worked for someone else – You are your own boss by having your own business Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-7 Economic and Accounting Profits • When economic profits become negative, particularly if those losses are substantial and appear they may be permanent, more and more people will close their businesses – They will go to work for someone else – They will go into a different business • Market supply decreases and forces prices up – This process continues until people stop getting out Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-8 Economic and Accounting Profits • When economic profits become negative, particularly if those losses are substantial and appear they may be permanent, more and more people will close their businesses – They will go to work for someone else – They will go into a different business • Market supply decreases and forces prices up – This process continues until people stop getting out S2 S1 P2 P1 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-9 Economic and Accounting Profits • When there are economic profits (short run) more people are attracted to this type of business • Market supply increases and forces prices down – This process continues until people stop getting in – Economic profits are zero at this point (long run) – No one else wants to enter or leave Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-10 Economic and Accounting Profits • When there are economic profits (short run) more people are attracted to this type of business • Market supply increases and forces prices down – This process continues until people stop getting in – Economic profits are zero at this point (long run) – No one else wants to enter or leave S2 S1 P2 P1 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-11 Profit Maximization and Loss Minimization Output Price TR 1 $500 $500 2 500 1000 3 500 1500 4 500 2000 5 500 2500 6 500 3000 7 500 3500 MR TC ATC $500 $1000 $1000 500 1500 750 500 1800 600 500 2000 500 500 2300 460 500 2850 475 500 3710 530 MC Total Profits $--- $500 500 - 500 300 - 300 200 0 300 200 550 150 860 - 210 1 1 1 1 1 1 Profit Maximization Point: MC = MR This occurs somewhere between 5 and 6 units. We are assuming output can be produced in tenths or one hundredth of a unit Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-12 Profit Maximization and Loss Minimization Output MR MC 1 $500 $--2 500 500 3 500 300 4 500 200 5 500 300 6 500 550 7 500 860 Profit Maximization Point: MC = MR The most profitable output is where the MC curve crosses the D, MR curve. This occurs at an output of 5.87 units Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-13 Profit Maximization and Loss Minimization Total Profit = Output X (Price - ATC) TP =Total Profit; P = Price TP = Output X (P-ATC) TP = 5.87 X ($500-$465) TP =5.87 X $35 TP =$205.45 Price is $500 ATC is $465 Profit Maximization Point: MC = MR The most profitable output is where the MC curve crosses the D, MR curve. This occurs at an output of 5.87 units Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-14 Making Sure We Are Maximizing Profit Output Profit 5.00. . . . . . . . . . . . . $200 5.10 5.20 5.30 5.40 If you calculated the total profit at every level of output (5.0 through 6.0) you would find that the output level of 5.87 units would provide you with the greatest level of profit. 5.50 5.87 ------------------- 205.45 Best we can do! 5.60 5.70 5.80 This is the output level where MC=MR 5.90 6.00 . . . . . . . . . . . . . . 150 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-15 Profit Maximization and Loss Minimization Total Profit= Output X (Price-ATC) TP =Total Profit; P = Price TP = Output X (P-ATC) TP = 5.35 X ($400 - $456) TP = 5.87 X (- $56) TP = - $299.60 ATC is $465 Price is $400 Profit Maximization Point: MC = MR The most profitable output is where the MC curve crosses the D, MR curve. This occurs at an output of 5.35 units Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-16 In the long run this firm will not accept any price below $125.50 In the short run this firm will not accept any price below $101 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-17 Producing Exactly at the Output Level Where MC = MR Enables Us to Maximize Total Profits (or Minimize Total Losses) • MR is the additional revenue from selling one more unit of output • MC is the additional cost of producing one more unit of output • We keep adding to output as long as MR exceeds MC – If we stop short of this point, we would not maximize our profit • We stop adding to output when MR = MC – If we continued to add output, MC would exceed MR and this would diminish our profits Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-18 The Short-Run and Long-Run Supply Curves The Short-Run Supply Curve A firm will always produce where MC equals MR A firm will operate in the short run if sales (TR) are greater than variable cost (VC) [ Remember TR = Price X Output] A firm will shut down if variable cost (VC) is greater than sales (TR) [Remember, sales and TR are the same] Therefore, a firm will shut down if VC is greater TR or if VC are greater than Price X Output Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-19 A firm will shut down if VC > TR or if VC > Price X Output A firm will shut down if VC > Price X Output Let’s divide both side of the above equation by Output VC > Price X Output Output Output Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-20 A firm will shut down if VC > TR or if VC > Price X Output A firm will shut down if VC > Price X Output Let’s divide both side of the above equation by Output VC > Price X Output Output Output AVC > Price Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-21 In the short run a firm will shut down if the AVC is greater than the price Alternatively In the short run a firm will operate if the price is greater than the AVC Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-22 Cost Curves • At any given time, a business firm will have a certain set of cost curves: AVC, ATC, and MC. – These curves are determined mainly by the firm’s capital stock – its plant and equipment • Over time these curves can change; but at any given time they’re fixed • At any given time, we can assume the MC curve doesn’t change Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-23 Review • MC must equal MR • MC stays the same • MR can change to any value because whenever price changes we have an new MR line • When the price changes MR changes and will equal MC at some other point on the MC curve Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-24 Derivation of the Firm’s Short-Run and Long-Run Supply Curve The firm’s short-run supply curve begins at the shutdown point and runs all the way up the MC curve The firm’s long-run supply curve begins at the breakeven point and runs all the way up the MC curve 60 MC 55 50 45 40 35 30 25 ATC 20 Break-even point AVC 15 Minimum point on the ATC 10 Shut-dow n point 5 0 Minimum point on the AVC 0 1 2 3 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 4 5 6 7 8 9 10 11 Output 21-25 Four Rules • In the short run – If the price is below the shut-down point, the firm will shut down – If the price is above the shut-down point, the firm will operate • In the long run – If the price is below the break-even point, the firm will go out of business – If the price is above the break-even point, the firm will stay in business Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-26 The Shut-Down and Break-Even Points 200 What is the lowest price the firm will accept in the short run? Answer: $101 180 MC 160 Break-even point 140 ATC D,MR Output AVC ATC Total Profits 1 $150 $250 -$120 2 120 170 - 80 3 106.67 140 - 30 4 102.50 127.50 + 10 5 106 126 + 20 6 116.67 133.33 - 20 120 AVC 100 Shut-dow n point 80 0 1 2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 3 4 Output 5 6 7 21-27 The Shut-Down and Break-Even Points 200 What is the lowest price the firm will accept in the long run? 180 MC 160 Answer: $125.50 Break-even point 140 ATC D,MR Output AVC ATC Total Profits 1 $150 $250 -$120 2 120 170 - 80 3 106.67 140 - 30 4 102.50 127.50 + 10 5 106 126 + 20 6 116.67 133.33 - 20 120 AVC 100 Shut-dow n point 80 0 1 2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 3 4 Output 5 6 7 21-28 The Shut-Down and Break-Even Points Calculate Total Profit TP = Output X (P – ATC) TP = 5.25 X ($130 – $126) TP = 4 X 5.25 TP = $21 200 180 MC 160 Break-even point 140 ATC Price is 130 D,MR 120 AVC ATC is 126 100 Shut-dow n point 80 0 1 2 3 4 Output 5 6 7 Output is 5.25 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-29 The Shut-Down and Break-Even Points 200 How much will the firm’s output be in the short run and the long run if the price is $170? The firm will maximize profits at an output of 6 180 D, MR MC 160 Break-even point 140 ATC D,MR 120 AVC In both the short run and the long run the output will be six because that is where MC=MR 100 Shut-dow n point 80 0 1 2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 3 4 Output 5 6 7 21-30 The Shut-Down and Break-Even Points 200 How much will the firm’s output be in the short run and the long run if the price is $115? The firm will maximize profits at an output of 4.85 180 MC 160 Break-even point 140 ATC D,MR 120 The output in the shot run will be 4.85 because the price is above the shut-down point. The output in the long run will be zero because the price is below the break-even point. AVC D, MR 100 Shut-dow n point 80 0 1 2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 3 4 Output 5 6 7 21-31 The Shut-Down and Break-Even Points 200 How much will the firm’s output be in the short run and the long run if the price is $90? 180 MC 160 The answer to both questions is zero. The price of $90 is below both the break-even point and the shut-down point. Break-even point 140 ATC D,MR 120 AVC 100 Shut-dow n point D, MR 80 In the short run the firm will shut down. In the long run the firm will go out of business 0 1 2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 3 4 Output 5 6 7 21-32 The Most Efficient Output How much is the firm’s most efficient output? This occurs at an output of 10, which is the minimum point on the ATC (which is the breakeven point) MC ATC 80 AVC 70 60 D,MR 50 40 How much is the most profitable output? 30 20 10 This occurs at an output of 11 which is where MC = MR 0 2 4 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 6 8 10 12 Output 14 16 18 21-33 Perfect Competition • Is the first of four competitive modes • It is a theoretical model that does not exist in the real world • This will serve as the standard by which we will measure the next three competitive models – Monopoly – Monopolistic Competition – Oligopoly Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-34 Perfect Competition • In the long run the perfect competitor is forced to operate at the break-even point – This means it is operating at peak efficiency – The price it gets is just equal to the minimum point of its ATC (the break-even point) – It charges the lowest price and operates most efficiently Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-35 Definition of Perfect Competition • Perfect competition is a market structure with many well-informed sellers and buyers of an identical product and no barriers to entering or leaving the market. Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-36 Definition of Perfect Competition • There are so many firms that no one firm is large enough to influence price – Either by withholding output from the market or by increasing its output • The firms are selling an identical product – A product is identical, in the minds of the buyers, if they have no reason to prefer one seller over another Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-37 Definition of Perfect Competition • The market has perfect mobility – No barriers to entry such as licenses, longterm contracts, government franchises, patents, control over vital resources, etc. – One possible exception is money • Perfect knowledge about the market exist – Everyone knows about every possible economic opportunity Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-38 The Perfect Competitor’s Demand Curve The intersection of the industry supply and demand curve set the price that is taken by the individual firm, in this case $6 21-39 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. The Perfect Competitor’s Demand Curve The perfect competitor faces a horizontal, or perfectly elastic, demand curve A firm with a perfectly elastic demand curve has an identical MR curve (MR = P) Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-40 The Perfect Competitor’s Demand Curve The perfect competitor has to take the market price (it is a price taker!) Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-41 The Perfect Competitor’s Demand Curve 30/4,000,000 = .0000075 75 10,000,000 Why is the individual firm’s demand curve flat instead of sloping down to the right? The individual firm’s output is between 0 & 30 units. The industry’s output in the millions. It is impossible for the individual firm to increase output enough to change the price even one cent. Theoretically, the individual firm’s demand curve slopes down and to the right ever so slightly. But we can’t see the slope, so we draw it horizontally and consider it perfectly elastic Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-42 The Perfect Competitor in the Short Run 20 MC 18 16 14 12 ATC 10 8 6 D,MR 4 2 0 0 2 4 6 8 10 12 Output 14 16 18 20 In the short run the perfect competitor may make a profit or lose money 21-43 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. The Perfect Competitor in the Short Run 20 MC 18 16 14 12 ATC 10 8 6 D,MR 4 2 0 0 2 4 6 8 10 12 Output 14 16 18 20 Is this firm making a profit or losing money? Answer: Losing money because the D,MR curve is below the ATC curve 21-44 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. The Perfect Competitor in the Short Run 20 MC 18 16 14 12 ATC 10 ATC = $8.50 8 6 D,MR 4 2 0 0 Price = $6 Output = $8 2 4 6 8 10 12 Output 14 16 18 20 How much money is this firm losing? TP = ( P – ATC) X Output TP = ($6 - $8.50) X 8 TP = -$2.50 X 8 TP = - $20 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-45 The Perfect Competitor in the Short Run 20 MC 18 16 14 12 ATC D,MR 10 8 6 4 2 0 0 2 4 6 8 10 12 Output 14 16 18 20 Is this firm making a profit or losing money? Answer: Making a profit because the D,MR curve is above the ATC curve 21-46 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. The Perfect Competitor in the Short Run 20 MC Price = $10 18 16 14 12 ATC D,MR 10 ATC = $8.10 8 6 4 2 0 0 Output = $11 2 4 6 8 10 12 Output 14 16 18 20 TP = ( P – ATC) X Output TP = ($10 - $8.10) X 11 TP = $1.90 X 11 TP = $20.90 Copyright 2002 by The McGraw-Hill Companies, Inc. All rights reserved. 21-47 The Perfect Competitor in the Long Run Firm Market 20 20 MC S 18 18 16 16 14 14 12 12 ATC 10 10 8 8 6 D,MR 6 4 4 2 2 0 0 D 0 2 4 6 8 10 12 Output 14 16 18 20 0 1 2 3 Output (in millions) In the long run the perfect competitor breaks even Since the ATC curve lives above the demand curve, the firm is losing money at a price of $6. How do we then get to the long run where the firm is breaking even? Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-48 Going from Taking a Loss in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC 18 18 16 16 14 14 12 S2 S1 12 ATC 10 10 8 D2,MR 2 8 6 D1,MR 1 6 4 4 2 2 0 0 0 2 4 6 8 10 12 Output 14 16 18 20 D 0 1 2 Output (in millions) 3 At a price of $6 the firm is losing money and so, too, are all the other firms in the industry Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-49 Going from Taking a Loss in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC 18 18 16 16 14 14 12 S2 S1 12 ATC 10 10 8 D2,MR 2 8 6 D1,MR 1 6 4 4 2 2 0 0 0 2 4 6 8 10 12 Output 14 16 18 20 D 0 1 2 Output (in millions) 3 Some firms leave the industry in the long run, pushing the supply down from S1 to S2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-50 Going from Taking a Loss in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC 18 18 16 16 14 14 12 S2 S1 12 ATC 10 10 8 D2,MR 2 8 6 D1,MR 1 6 4 4 2 2 0 0 0 2 4 6 8 10 12 Output 14 16 18 20 D 0 1 2 Output (in millions) 3 This pushes the industry price up to $8. At this price the firm breaks even. Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-51 Going from Making a Profit in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC S1 18 18 16 16 14 14 12 S2 12 10 ATC D1,MR 1 10 8 D2,MR 2 8 6 6 4 4 2 2 0 D 0 0 2 4 6 8 10 12 14 16 18 20 0 1 Output 2 3 Output (in millions) At a price of $10 all firms in the industry are making a profit Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-52 Going from Making a Profit in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC S1 18 18 16 16 14 14 12 S2 12 10 ATC D1,MR 1 10 8 D2,MR 2 8 6 6 4 4 2 2 0 D 0 0 2 4 6 8 10 12 14 16 18 20 0 1 Output 2 3 Output (in millions) New firms are attracted into the industry. This increases supply moving the supply curve from S1 to S2 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-53 Going from Making a Profit in the Short Run to Breaking Even in the Long Run Firm Market 20 20 MC S1 18 18 16 16 14 14 12 S2 12 10 ATC D1,MR 1 10 8 D2,MR 2 8 6 6 4 4 2 2 0 D 0 0 2 4 6 8 10 12 14 16 18 20 0 1 Output 2 3 Output (in millions) This reduces the industry price to $8, at which the firms break even Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 2-54 The Perfect Competitor in the Long Run 24 MC 23 22 ATC 21 20 19 Price = ATC D,MR 18 17 The most profitable level of output is 11.1 16 15 5 10 Output 15 20 In the long run the firm breaks even The ATC curve is tangent to the demand curve at the point where MC = MR. ATC will equal price at the break-even point (the minimum point on the ATC curve) 21-55 Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. The Perfect Competitor in the Long Run 24 MC 23 22 ATC 21 20 Price = ATC 19 D,MR 18 17 The most profitable level of output is 11.1 16 15 5 10 Output 15 20 A firm operates at peak efficiency when it produces at the minimum point of its ATC. For the perfect competitor in the long run, the most profitable output is at the minimum point of its ATC because this is also where MC=MR Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-56 The Perfect Competitor: A Price Taker not a Price Maker • A firm operates at peak efficiency when it produces at the lowest possible cost – That would be the minimum point of its ATC curve ( the break-even point) • For the perfect competitor in the long run, the most profitable output is also at the minimum point of is ATC curve because this will be where MC = MR • Because of the degree of competition, the perfect competitor is forced to operate at peak efficiency – Other forms of competition do not force firms to operate at peak efficiency Copyright 2005 by The McGraw-Hill Companies, Inc. All rights reserved. 21-57
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