1. Introduction: Thinking Like an Economist 1 CHAPTER 11 Production and Cost Analysis I Production is not the application of tools to materials, but logic to work. — Peter Drucker Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin

2. 1 Production and Cost Analysis I 11 11-2 The Role of the Firm  Firms transform the factors into goods and services to consumers Production is the transformation of factors into goods  In the supply process, people offer their factors of production, such as land, labor, and capital, to the market  Ultimately, all supply comes from individuals because they control the factors of production

3. 1 Production and Cost Analysis I 11 11-3 The Role of the Firm 1.Organize factors of production and/or 2.Produce goods and services and/or 3.Sell produced goods and services  Some firms don’t have a physical location and don’t “produce” anything; they simply subcontract out all production.  A firm is an economic institution that transforms factors of production into goods and services  Many of the organizational structures of business are being separated from the production process Firms:

4. 1 Production and Cost Analysis I 11 11-4 Firms Maximize Profit  For economists, total cost is explicit payments to the factors of production plus the opportunity cost of the factors provided by the owners of the firm  For economists, total revenue is the amount a firm receives for selling its product or service plus any increase in the value of the assets owned by the firm Profit = Total revenue – Total cost  The goal of a firm is to maximize profits

5. 1 Production and Cost Analysis I 11 11-5 Firms Maximize Profit  Accountants focus on explicit costs and revenues Accounting profit = explicit revenue – explicit cost  Economists and accountants measure profit differently  Economists focus on both explicit and implicit costs and revenue Economic profit = (Explicit and implicit revenue) – (Explicit and implicit cost)

6. 1 Production and Cost Analysis I 11 11-6 The Production Process A firm chooses from all possible production techniques All inputs are variable  The production process can be divided into the long run and the short run  The terms long run and short run do not necessarily refer to specific periods of time, but to the flexibility the firm has in changing its inputs Short runLong run A firm is constrained in regard to what production decisions it can make Some inputs are fixed

7. 1 Production and Cost Analysis I 11 11-7 Production Tables and Production Functions  A production table is a table showing the output resulting from various combinations of factors of production or inputs  This analysis will concentrate on short run production in which one of the factors is fixed  Firms combine factors of production to produce goods and services  Real-world production tables are complicated

8. 1 Production and Cost Analysis I 11 11-8 A Production Table # of workers Total Output Marginal Product Average Product 00 4 6 7 6 5 3 1 0 -2 -5 --- 144 2105 3175.7 4235.8 5285.6 6315.2 7324.6 8324.0 9303.3 10252.5 Marginal product is the additional output that will be forthcoming from an additional worker, other inputs constant Average product is the output per worker

9. 1 Production and Cost Analysis I 11 11-9 Graphing a Production Function Q Increasing marginal productivity Diminishing marginal productivity Diminishing Absolute productivity Number of workers TP A production function is the relationship between the inputs and the outputs 32 26 20 14 8 2 1 2 3 4 5 6 7 8 9 10

10. 1 Production and Cost Analysis I 11 11-10 Graphing Marginal and Average Productivity Increasing marginal productivity Diminishing marginal productivity Diminishing Absolute productivity Number of workers AP MP Q Marginal productivity first increases Then marginal productivity declines Eventually marginal productivity is negative 8 6 4 2 0 -2 -4 -6 1 2 3 4 5 6 7 8 9 10

11. 1 Production and Cost Analysis I 11 11-11 Law of Diminishing Marginal Productivity # of workers Total Output Marginal Product Average Product 00 4 6 7 6 5 3 1 0 -2 -5 --- 144 2105 3175.7 4235.8 5285.6 6315.2 7324.6 8324.0 9303.3 10252.5 Law of diminishing marginal productivity states as more of a variable input is added to an existing fixed input, after some point the additional output from the additional input will fall Increasing marginal productivity Diminishing marginal productivity Diminishing Absolute productivity

12. 1 Production and Cost Analysis I 11 11-12 Fixed Costs, Variable Costs, and Total Costs TC = FC + VC  Fixed costs (FC) are those that are spent and cannot be changed in the period of time under consideration In the long run, there are no fixed costs since all inputs (and therefore their costs) are variable In the short run, a number of inputs and their costs will be fixed  Workers are an example of variable costs (VC) which are costs that change as output changes  The sum of the variable and fixed costs are total costs (TC)

13. 1 Production and Cost Analysis I 11 11-13 Average Costs  Average fixed costs (AFC) equals fixed cost divided by quantity produced, AFC = FC/Q  Marginal cost (MC) is the increase in total cost when output increases by one unit, MC = ΔTC/ΔQ  Average variable costs (AVC) equals variable cost divided by quantity produced, AVC = VC/Q  Average total costs (ATC) equals total cost divided by quantity produced, ATC = TC/Q or ATC = AFC + AVC Marginal Cost

14. 1 Production and Cost Analysis I 11 11-14 Costs of Production Table OutputFC ($)VC ($)TC ($)MC ($)AFC ($)AVC ($)ATC ($) 3503888 12 16.6712.6629.33 450 10012.50 25.00 950100150 8 5.5611.1116.67 1050108158 5.0010.8015.80 1650150200 7 3.12 9.3812.50 1750157207 2.94 9.2412.18 2250200250 10 2.27 9.0911.36 2350210260 2.17 9.1311.30 2750255305 15 1.85 9.4411.29 2850270320 1.79 9.6411.43 3250400450 1.5612.5014.06

15. 1 Production and Cost Analysis I 11 11-15 Graphing Total Cost Curves FC Total Cost FC curve is constant TC and VC curves increase as Q increases Q 10 VC TC 158 108 50 L O M $450 400 32 (TC = FC + VC)

16. 1 Production and Cost Analysis I 11 11-16 Graphing Per Unit Output Cost Curves AVC MC ATC AFC Q Cost AFC curve decreases MC, ATC, and AVC curves are U-shaped 30 20 10 0 10 20 30

17. 1 Production and Cost Analysis I 11 11-17 The Shapes of Cost Curves  The variable and total cost curves are upward sloping Increasing output increases VC and TC  The average fixed cost curve is downward sloping Increasing output decreases AFC  The fixed cost curve is always constant Increasing output doe change FC  The marginal cost, average variable cost, and average total cost curves are U-shaped Increasing output initially leads to a decrease in MC, AVC, and ATC but eventually they increase

18. 1 Production and Cost Analysis I 11 11-18 The Shapes of the Average Cost Curves  The marginal cost curve goes through the minimum points of the ATC and AVC curves  The U-shape of ATC and AVC curves is due to: When output is increased in the short run, it can only be done by increasing the variable input The law of diminishing productivity causes marginal and average productivities to fall As average and marginal productivities fall, average and marginal costs rise

19. 1 Production and Cost Analysis I 11 11-19 The Relationship Between Marginal Productivity and Marginal Costs AVC Q MC Q Output per worker Costs per unit If marginal productivity is rising, marginal costs are falling If average productivity is falling, average costs are rising MP of workers AP of workers

20. 1 Production and Cost Analysis I 11 11-20  If MC > ATC, then ATC is rising  If MC > AVC, then AVC is rising  If MC < ATC, then ATC is falling  If MC < AVC, then AVC is falling  If MC = AVC and MC = ATC, then AVC and ATC are at their minimum points The Relationship Between Marginal Cost and Average Cost

21. 1 Production and Cost Analysis I 11 11-21 The Relationship Between Marginal Cost and Average Cost AVC MC Q Costs per unit ATC The marginal cost curve goes through the minimum point of both the ATC and AVC curves