Chapter 9: Production and Cost Analysis II Prepared by: Kevin Richter, Douglas College Charlene Richter, British Columbia Institute of Technology © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 1 Long Run Production Decisions To make their long run decisions: Firms look at costs of various inputs and the technologies available for combining these inputs. Then decide which combination offers the lowest cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 2 Technical Efficiency and Economic Efficiency Technical efficiency – as few inputs as possible are used to produce a given output. Technical efficiency is efficiency that does not consider cost of inputs. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 3 Technical Efficiency and Economic Efficiency Economic efficiency – the method produces a given level of output at the lowest possible cost. It is the least-cost technically efficient process. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 4 Long Run Cost Curve The law of diminishing marginal productivity does not hold in the long run. All inputs are variable in the long run. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 5 Long Run Cost Curve The shape of the long run cost curve is due to the existence of economies and diseconomies of scale. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 6 Typical Long Run Average Total Cost Curve Costs per unit $64 62 60 58 56 54 52 50 48 Average total cost Minimum efficient level of production 11 12 13 14 15 16 17 18 19 20 Quantity © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 7 Economies of Scale There are economies of scale in production when the long run average cost decreases as output increases. Economies of scale (increasing returns to scale) are cost savings associated with larger scale of production. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 8 Individual Setup Costs An indivisible setup cost is the cost of an indivisible input for which a certain minimum amount of production must be undertaken before the input becomes economically feasible to use. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 9 Individual Setup Costs Indivisible setup costs are the source of many real-world economies of scale. The cost of a blast furnace or an oil refinery is an example of an indivisible setup cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 10 Economies of Scale In the longer run all inputs are variable, so only economies of scale can influence the shape of the long run cost curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 11 Economies of Scale Economies of scale occur whenever inputs do not need to be increased in proportion to the increase in output. As output increases, cost per unit falls in the long run, so this can also be seen as an increase in productivity. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 12 Economies of Scale Doubling the inputs more than doubles the output, when there are economies of scale. Firms can economize on management cost, or they can take advantage of specialized labour and specialized capital. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 13 Economies of Scale Because of the importance of economies of scale, business people often talk of a minimum efficient scale of production. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 14 Minimum Efficient Scale The minimum efficient scale of production is the amount of production that spreads setup costs out sufficiently for firms to undertake production profitably. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 15 Minimum Efficient Scale The minimum efficient scale (MES) of production is reached once the size of the market expands to a size large enough so that firms can take advantage of all economies of scale. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 16 Typical Long Run Average Total Cost Curve Costs per unit $64 Economies 62 of scale 60 58 56 54 52 50 48 Constant returns to scale Diseconomies of scale Minimum efficient scale of production Long run average total cost 11 12 13 14 15 16 17 18 19 20 Quantity © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 17 Economies of Scale The minimum efficient scale of production will be at the beginning of the constant returns portion of the average cost curve—where average total costs are at a minimum. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 18 Economies of Scale The implication of economies of scale is that in some industries firms must be of a certain size to be able to compete successfully. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 19 Increasing Returns to Scale (IRTS) Increasing returns to scale is where long run average total costs fall as output increases. It is shown by the decreasing portion of the LRAC curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 20 Constant Returns to Scale (CRTS) Constant returns to scale is where long run average total costs do not change as output increases. It is shown by the flat portion of the LRAC curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 21 Decreasing Returns to Scale (DRTS) Decreasing returns to scale or diseconomies of scale refer to decreases in productivity which occur when there are equal increases of all inputs. Decreasing returns to scale occur where the long run average cost curve is upward sloping, meaning that average cost is increasing. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 22 Monitoring Costs As the size of the firm increases, monitoring costs generally increase. Monitoring costs are those incurred by the organizer of production in seeing to it that the employees do what they are supposed to do. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 23 Decreasing Returns to Scale Diseconomies occur for a number of reasons as the firm increases its size Coordination of a large firm is more difficult Information costs and communication costs increase as firm increases Monitoring costs increase Team spirit may decrease © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 24 Decreasing Returns to Scale Team spirit is the feelings of friendship and being part of a team that brings out people’s best effort. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 25 Summary of Returns to Scale Returns to scale Doubling inputs results in: Slope of the LRAC Increasing returns to scale (IRTS; economies of scale) Output more than doubles. downward Constant returns to scale (CRTS) Output exactly doubles. horizontal Decreasing returns to Output less than scale (DRTS; doubles. diseconomies of scale) © 2006 McGraw-Hill Ryerson Limited. All rights reserved. upward 26 Economies and Diseconomies of Scale Costs per unit $64 62 60 58 56 54 52 50 48 Increasing Returns to Scale Constant returns to Scale Decreasing Returns to Scale Long run average total cost 11 12 13 14 15 16 17 18 19 20 Quantity © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 27 Importance of Economies of Scale Economies and diseconomies of scale play important roles in real-world long run production decisions. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 28 Importance of Economies of Scale The long run and the short run average cost curves have the same U-shape, but the underlying causes of these shapes differ. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 29 Short Run Average Cost Curves Initially increasing and then eventually diminishing marginal productivity (as a variable input is added to a fixed input) accounts for the shape of the short run average cost curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 30 Long Run Average Cost Curve Economies and diseconomies of scale account for the shape of the long run total cost curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 31 Envelope Relationship In the long run all inputs are flexible, while in the short run some inputs are not flexible. As a result, long run cost will always be less than or equal to short run cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 32 Envelope Relationship In the short run the firm faces an additional constraint – all expansion must proceed using only the variable input. These additional constraints increase cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 33 Envelope Relationship The envelope relationship explains that: At the planned output level, short run average total cost equals long run average total cost. At all other levels of output, short run average total cost is higher than long run average total cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 34 Envelope of Short Run Average Total Cost Curves Costs per unit LRATC 0 SRMC1 SRATC4 SRATC1 SRMC2 SRMC4 SRATC2 SRATC3 SRMC3 Q* © 2006 McGraw-Hill Ryerson Limited. All rights reserved. Quantity 35 Industry with Strong Economies of Scale © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 36 Entrepreneurial Activity and the Supply Decision Profit is what underlies the dynamics of production in a market economy. The expected price must exceed the opportunity cost of supplying the good for a good to be supplied. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 37 Entrepreneurial Activity and the Supply Decision The greater the difference between price and average total cost, the greater the entrepreneur’s incentive to tackle the organizational problems and supply the good. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 38 Entrepreneurial Activity and the Supply Decision An entrepreneur is an individual who sees an opportunity to sell an item at a price higher than the average cost of producing it. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 39 Entrepreneurial Activity and the Supply Decision Entrepreneurs organize production. They visualize the demand and convince the individuals who own the factors of production that they want to produce those goods. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 40 Using Cost Analysis in the Real World Some of the problems of using cost analysis in the real world include the following: Economies of scope. Learning by doing and technological change. Many dimensions. Unmeasured costs. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 41 Economies of Scope The cost of production of one product often depends on what other products a firm is producing. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 42 Economies of Scope There are economies of scope in production when the costs of producing goods are interdependent so that it is less costly for a firm to produce one good when it is already producing another. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 43 Economies of Scope Firms look for both economies of scope and economies of scale. Economies of scope play an important role in firms’ decisions of what combination of goods to produce. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 44 Economies of Scope Globalization has made economies of scope even more important to firms in their production decisions. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 45 Learning by Doing and Technological Change Production techniques available to real-world firms are constantly changing because of learning by doing and technological change. These changes occur over time and cannot be accurately predicted. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 46 Learning by Doing and Technological Change Learning by doing means that as we do something, we learn what works and doesn’t, and over time we become more proficient at it. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 47 Learning by Doing and Technological Change The concept of learning by doing emphasizes the importance of the past effort in developing cost advantages. Many firms estimate worker productivity to grow 1 to 2 percent a year because of learning by doing. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 48 Learning by Doing and Technological Change External economies are present in all industries – those are the external forces at work which are capable of reducing costs for all firms belonging to the industry © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 49 Learning by Doing and Technological Change Technological change is an increase in the range of production techniques that provides new ways of producing goods. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 50 Learning by Doing and Technological Change Technological change offers an increase in the known range of production. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 51 Learning by Doing and Technological Change Whenever learning by doing or technological change occurs, the cost curve shifts down since the same output can be produced at a lower cost. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 52 Learning by Doing and Technological Change In some industries such as the computer business, technological change is occurring so fast that it overwhelms all other cost components. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 53 Learning by Doing and Technological Change Technological change and learning by doing are intricately related. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 54 Many Dimensions Most decisions that firms make involve more than one dimension. The only dimension in the standard model is the level of output. Good economic decisions take all relevant marginal costs and benefits into account. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 55 Many Dimensions The important thing to remember in using the standard model is the reasoning, not the specific model. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 56 Unmeasured Costs The relevant costs as defined by economists are not the costs found in a firm’s books. Economists include opportunity costs while accountants use explicit costs that can be measured. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 57 Economists Include Opportunity Cost Economists include the business owner’s opportunity cost. The business owner’s opportunity cost includes forgone income that the owner could have earned by spending his or her time in another job. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 58 The Standard Model as a Framework Despite its limitations, the standard model provides a good framework for cost analysis. It can be expanded to include real-world complications. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 59 Production and Cost Analysis II End of Chapter 9 © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 60 Isocost/Isoquant Analysis Chapter 9 Appendix © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 61 Isocost/Isoquant Analysis In the long run, a firm can vary all of the factors of production. One important decision in the long run is which combination of factors to use. Economic efficiency involves choosing the factors so that the cost of production is at the minimum. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 62 Isocost/Isoquant Analysis A graphical tool used in economics to analyze the long run choice of factors of production is the isocost/isoquant analysis. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 63 Isocost/Isoquant Graph The analyst creates a graph showing various combinations of factors of production that can produce a certain amount of output. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 64 Isocost/Isoquant Graph More than 3 units of machinery and more than 4 units of labour Less than 3 units of machinery and less than 4 units of labour © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 65 Isoquant Curve Isoquant curve –An isoquant curve (equal quantity) represents combinations of factors of production that result in equal amounts of output. A point on the isoquant curve is technically efficient. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 66 Isoquant Curve for 60 Earrings Labour Machines Pairs of Earrings A 3 20 60 B 4 15 60 C 6 10 60 D 10 6 60 E 15 4 60 F 20 3 60 © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 67 Isoquant Curve for 60 Earrings Machines A B G C D E F Q60 Units of labour © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 68 Isoquant Curve The isoquant curve is bowed inward because of the law of diminishing marginal productivity. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 69 Isoquant Curve Marginal rate of technical substitution – the rate at which one factor must be added to compensate for the loss of another factor, to keep output constant. It is the slope of the isoquant curve. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 70 Isoquant Curve The absolute value of the slope at a point on the isoquant curve equals the ratio of the marginal productivity of labour to the marginal productivity of machines. MPlabour Slope MPmachine Marginal rate of substituti on © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 71 Isoquant Curve Isoquant map – a set of isoquant curves that show technically efficient combinations of inputs that can produce different levels of output. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 72 Isoquant Map Q100 Q60 Q40 © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 73 The Isocost line The isocost line (equal cost) represents alternative combinations of factors of production that have the same cost. The slope of the isocost line equals the ratio of prices of the factors of production. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 74 The Isocost Line The slope of the isocost curve: Slope = Plabour/Pmachines © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 75 The Isocost Lines Machines 20 C Slope = -Plabour/Pmachines =-5/3 D 6 A 12 18 Units of labour © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 76 Choosing the Economically Efficient Point of Production The least cost combination of inputs for a given output occurs where the isocost curve is tangent to the isoquant curve for that output. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 77 Choosing the Economically Efficient Point of Production The slopes of the two curves are equal at that point of tangency. – MPlabour – Plabour MPlabour MPmachines so that MPmachines Pmachines Plabour Pmachines © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 78 Choosing the Economically Efficient Point of Production The firm is operating efficiently when an additional output per dollar spent on labour equals the additional output per dollar spent on machines. © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 79 Combining Isoquant and Isocost Curves Machines 20 B A MPlabour/MPmachines =Plabour/Pmachines C Q2 Q1 12 Units of labour © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 80 Isocost/Isoquant Analysis End of Chapter 9 Appendix © 2006 McGraw-Hill Ryerson Limited. All rights reserved. 81