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Microeconomics Chapter Theories of Producer Behavior - Production Topics to be Discussed The Technology of Production Production with One Variable Input (Labor) Isoquants Production with Two Variable Inputs Returns to Scale 2011, FTU Kieu Minh Introduction Production decisions of a firm are similar to consumer decisions Can also be broken down into three steps 2011, FTU Kieu Minh Production Decisions of a Firm Production Technology Describe how inputs can be transformed into outputs Inputs: land, labor, capital & raw materials Outputs: cars, desks, books, etc Firms can produce different amounts of outputs using different combinations of inputs 2011, FTU Kieu Minh Production Decisions of a Firm Cost Constraints Firms must consider prices of labor, capital and other inputs Firms want to minimize total production costs partly determined by input prices 2011, FTU Kieu Minh Production Decisions of a Firm Input Choices Given input prices and production technology, the firm must choose how much of each input to use in producing output Given prices of different inputs, the firm may choose different combinations of inputs to minimize costs If labor is cheap, may choose to produce with more labor and less capital 2011, FTU Kieu Minh Production Decisions of a Firm If a firm is a cost minimize, we can also study How total costs of production varies with output How does the firm choose the quantity to maximize its profits 2011, FTU Kieu Minh The Technology of Production We can represent the firm’s production technology in form of a production function Production Function: Indicates the highest output (q) that a firm can produce for every specified combination of inputs Shows what is technically feasible when the firm operates efficiently For simplicity, we will consider only labor (L) and capital (K) 2011, FTU Kieu Minh The Technology of Production The production function for two inputs: q = F(K,L) Output (q) is a function of capital (K) and Labor (L) The production function is true for a given technology If technology increases, more output can be produced for a given level of inputs 2011, FTU Kieu Minh The Technology of Production Short Run versus Long Run It takes time for a firm to adjust production from one set of inputs to another Firms must consider not only what inputs can be varied but over what period of time that can occur We must distinguish between long run and short run 2011, FTU Kieu Minh 10 Isoquant Describing the Production of Wheat Point A is more capital-intensive, and B is more labor-intensive Capital 120 100 90 80 A B K - 10 L 260 Output = 13,800 bushels per year 40 250 2011, FTU Kieu Minh 500 760 1000 Labor 50 A Production Function for Wheat Increase L to 760 and decrease K to 90 the MRTS =0.04 < MRTS - K L (10 / 260 ) 04 When wage is equal to cost of running a machine, more capital should be used Unless labor is much less expensive than capital, production should be capital intensive 2011, FTU Kieu Minh 51 Returns to Scale In addition to discussing the tradeoff between inputs to keep production the same How does a firm decide, in the long run, the best way to increase output Can change the scale of production by increasing all inputs in proportion If double inputs, output will most likely increase but by how much? 2011, FTU Kieu Minh 52 Returns to Scale Rate at which output increases as inputs are increased proportionately Increasing returns to scale Constant returns to scale Decreasing returns to scale 2011, FTU Kieu Minh 53 Returns to Scale Increasing returns to scale: output more than doubles when all inputs are doubled Larger output associated with lower cost (cars) One firm is more efficient than many (utilities) The isoquants get closer together 2011, FTU Kieu Minh 54 Increasing Returns to Scale Capital (machine hours) A The isoquants move closer together 30 20 10 2011, FTU Kieu Minh 10 Labor (hours) 55 Returns to Scale Constant returns to scale: output doubles when all inputs are doubled Size does not affect productivity May have a large number of producers Isoquants are equidistant apart 2011, FTU Kieu Minh 56 Returns to Scale Capital (machine hours) A 30 2 Constant Returns: Isoquants are equally spaced 10 2011, FTU Kieu Minh 10 15 Labor (hours) 57 Returns to Scale Decreasing returns to scale: output less than doubles when all inputs are doubled Decreasing efficiency with large size Reduction of entrepreneurial abilities Isoquants become farther apart 2011, FTU Kieu Minh 58 Returns to Scale: Carpet Industry The carpet industry has grown from a small industry to a large industry with some very large firms There are four relatively large manufactures along with a number of smaller ones Growth has come from Increased consumer demand More efficient production reducing costs Innovation and competition have reduced real prices 2011, FTU Kieu Minh 59 The U.S Carpet Industry 2011, FTU Kieu Minh 60 Returns to Scale: Carpet Industry Some growth can be explained by returns to scale Carpet production is highly capital intensive Heavy upfront investment in machines for carpet production Increases in scale of operating have occurred by putting in larger and more efficient machines into larger plants 2011, FTU Kieu Minh 61 Returns to Scale: Carpet Industry Results Large Manufacturers Increased in machinery & labor Doubling inputs has more than doubled output Economies of scale exist for large producers 2011, FTU Kieu Minh 62 Returns to Scale: Carpet Industry Results Small Manufacturers Small increases in scale have little or no impact on output Proportional increases in inputs increase output proportionally Constant returns to scale for small producers 2011, FTU Kieu Minh 63 Returns to Scale: Carpet Industry From this we can see that the carpet industry is one where: There are constant returns to scale for relatively small plants There are increasing returns to scale for relatively larger plants These are however limited Eventually reach decreasing returns 2011, FTU Kieu Minh 64 ... profits 2011, FTU Kieu Minh The Technology of Production We can represent the firm’s production technology in form of a production function Production Function: Indicates the highest output (q)... allowing them to use more of one input and less of another for the same level of output 2011, FTU Kieu Minh 37 Production: Two Variable Inputs Substituting Among Inputs Slope of the isoquant... can be substituted for the other and keep the level of output the same Positive slope is the marginal rate of technical substitution (MRTS) Amount by which the quantity of one input can be reduced