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Chapter 10 PRODUCTION AND COST ANALYSIS II McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-2 Today’s lecture will: • Distinguish technical efficiency from economic • • • • efficiency. Explain how economies and diseconomies of scale influence the shape of long-run cost curves. State the envelope relationship between shortrun cost curves and long-run cost curves. Explain the role of the entrepreneur in translating cost of production to supply. Discuss some of the problems of using cost analysis in the real world. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-3 Making 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. They choose the combination which offers the lowest cost. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-4 Technical Efficiency and Economic Efficiency • Technical efficiency – as few inputs • as possible are used to produce a given output. Economically efficient – the method that produces a given level of output at the lowest possible cost. It is the least-cost technically efficient process. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-5 Determinants of the Shape of the Long-Run Cost Curve • The law of diminishing marginal • • productivity does not apply in the long run. All inputs are variable in the long run. The shape of the long-run cost curve is due to the existence of economies and diseconomies of scale. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-6 A Typical Long-Run Average Cost Table Total Costs Quantity of Labor 11 12 13 14 15 16 17 18 19 20 McGraw-Hill/Irwin $381 390 402 420 450 480 510 549 600 666 Total Cost of Machines $254 260 268 280 300 320 340 366 400 444 Total Costs Average Total = TCL + TCM Costs = TC/Q $635 650 670 700 750 800 850 915 1,000 1,110 $58 54 52 50 50 50 50 51 53 56 Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-7 Costs per unit A Typical Long-Run Average Total Cost Curve $64 62 60 58 56 54 52 50 48 Economies of scale A Constant returns to scale B C ATC Minimum efficient level of production 11 12 13 14 15 McGraw-Hill/Irwin Diseconomies of scale 16 17 18 19 20 Q Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-8 Economies of Scale • Economies of scale – long run • average total costs decrease as output increases. In the longer run all inputs are variable, so only economies of scale can influence the shape of the longrun cost curve. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-9 Economies of Scale • An indivisible setup cost is the cost of • an indivisible input for which a certain amount of production must be undertaken before the input becomes economically feasible to use. The cost of a blast furnace or an oil refinery is an example of an indivisible setup cost. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-10 Economies of Scale • The minimum efficient level of production • is the amount of production that spreads setup costs out sufficiently for firms to undertake production profitably. The minimum efficient level 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. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-11 Diseconomies of Scale • Diminishing marginal productivity -the • decline in productivity caused by increasing units of a variable input being added to a fixed input. Diseconomies of scale – decreases in productivity and increases in average costs which occur when there are increases in all inputs (no input is fixed). McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-12 Diseconomies of Scale • Monitoring costs – those incurred by • the organizer of production in seeing to it that the employees do what they are supposed to do. Team spirit – the feelings of friendship and being part of a team that brings out peoples’ best effort. As the size of the firm increases, monitoring costs increase, and team spirit and morale decrease. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-13 Constant Returns to Scale • Constant returns to scale – where • average total costs do not change as output increases. Constant returns to scale are shown by the flat portion of the long-run average total cost curve. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-14 Long-Run and Short-Run Cost Curves • The long-run and short-run average cost • • curves have the same U-shape, but the underlying causes of these shapes differ. Economies and diseconomies of scale account for the shape of the long-run average cost curve. Initially increasing and eventually diminishing marginal productivity accounts for the shape of the short-run average cost curves. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-15 The Envelope Relationship • Long-run costs are always less than or equal to short-run costs because: In the long run, all inputs are flexible. In the short run, some inputs are fixed. • In the short run all expansion must proceed by increasing only the variable input. This constraint increases cost. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-16 The 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 longrun average total cost. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-17 Costs per unit Envelope of Short-Run Average Total Cost Curves 0 McGraw-Hill/Irwin LRATC SRMC1 SRATC4 SRATC1 SRMC2 SRMC4 SRATC2 SRATC3 SRMC3 Q2 Q3 Quantity Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-18 Entrepreneurial Activity and the Supply Decision • Supplier’s expected economic profit per unit – • • the difference between the expected price of a good and the expected average total cost of producing it. Profit 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. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-19 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. Entrepreneurs organize production. They visualize the demand and convince the owners of the factors of production that they want to produce those goods. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-20 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 McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-21 Economies of Scope • There are economies of scope 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. Firms look for both economies of scope and economies of scale. Globalization has made economies of scope even more important to firms in their production decisions. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-22 Learning by Doing and Technological Change • Learning by doing – as we do something, we • • learn what works and what doesn’t, and over time we become more proficient at it. Technological change – an increase in the range of production techniques that leads to more efficient ways of producing goods and the production of new and better goods. These changes occur over time and cannot be predicted accurately. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-23 Many Dimensions • Most decisions that firms make involve more than one dimension, including: Quality Packaging Shipping • The level of output is the only dimension in the standard model. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-24 Unmeasured Costs • Economists include opportunity • costs while accountants use explicit costs that can be measured. Economists include the owner’s opportunity cost – the forgone income that the owner could have earned in another job. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-25 Economic Versus Accounting Depreciation • In measuring the costs of • depreciable assets, accountant use historical costs – what a depreciable item costs in terms of money actually spent for it – as the cost basis. If the depreciable asset increased in value, an economist would count its increased value as revenue. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-26 Summary • An economically efficient production • process must be technically efficient, but a technically efficient process may not be economically efficient. The long-run average total cost curve is Ushaped because economies of scale cause average total cost to decrease; diseconomies of scale eventually cause average total cost to increase. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-27 Summary • Marginal cost and short-run average cost • • curves slope upward because of diminishing marginal productivity. The long-run average cost curve slopes upward because of diseconomies of scale. The envelope relationship between shortrun and long-run average cost curves shows that the short-run average cost curves are always above the long-run average cost curve. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-28 Summary • An entrepreneur is an individual who sees an • opportunity to sell an item at a price higher than the average cost of producing it. Costs in the real world are affected by: Economies of scope Learning by doing and technological change Many dimensions to output Unmeasured costs, such as opportunity costs McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 10-29 Review Question 10-1 Why are short-run and long-run average cost curves U-shaped? The short-run average cost curves are U-shaped because of diminishing marginal productivity. The long-run average cost curves are U-shaped because of economies and diseconomies of scale. Review Question 10-2 Suppose that capital and labor both cost $5 per unit. Currently the firm is using 4 workers and 4 machines to produce an output of 40 units. If the firm wants to produce 100 units of output, it can be done using the 4 machines and 25 workers or with 10 machines and 10 workers. a. In the short run, how much capital and how much labor will the firm use? What is the total cost and the average cost of the 100 units? In the short run, the firm can not change capital, the fixed input, so it must use 4 machines and 25 workers. Total cost = $5x4 + $5x25 = $145. Average cost = $145/100 = $1.45 In the long run, both inputs are variable, so the firm will minimize costs with 10 workers and 10 machines. Total cost = $5x10 + $5x10 = $100 and long-run average cost = $100/100 = $1. McGraw-Hill/Irwin Copyright 2006 by The McGraw-Hill Companies, Inc. All rights reserved.