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1、,Chapter 6,Production,Chapter 6,Slide 2,Topics to be Discussed,The Technology of Production Isoquants Production with One Variable Input (Labor) Production with Two Variable Inputs Returns to Scale,Chapter 6,Slide 3,Introduction,Our focus is the supply side. The theory of the firm will address: How
2、a firm makes cost-minimizing production decisions How cost varies with output Characteristics of market supply Issues of business regulation,Chapter 6,Slide 4,The Technology of Production,The Production Process Combining inputs or factors of production to achieve an output Categories of Inputs (fact
3、ors of production) Labor Materials Capital,Chapter 6,Slide 5,The Technology of Production,Production Function: Indicates the highest output that a firm can produce for every specified combination of inputs given the state of technology. Shows what is technically feasible when the firm operates effic
4、iently.,Chapter 6,Slide 6,The Technology of Production,The production function for two inputs: Q = F(K,L) Q = Output, K = Capital, L = Labor For a given technology,Chapter 6,Slide 7,Isoquants,Assumptions Food producer has two inputs Labor (L) & Capital (K),Chapter 6,Slide 8,Isoquants,Observations: 1
5、) For any level of K, output increases with more L. 2) For any level of L, output increases with more K. 3) Various combinations of inputs produce the same output.,Chapter 6,Slide 9,Isoquants,Isoquants Curves showing all possible combinations of inputs that yield the same output,Chapter 6,Slide 10,P
6、roduction Function for Food,1 20 40 55 65 75 2 40 60 75 85 90 3 55 75 90 100 105 4 65 85 100 110 115 5 75 90 105 115 120,Capital Input 1 2 3 4 5,Labor Input,Chapter 6,Slide 11,Production with Two Variable Inputs (L,K),Labor per year,1,2,3,4,1,2,3,4,5,5,Q1 = 55,The isoquants are derived from the prod
7、uction function for output of of 55, 75, and 90.,A,D,B,Q2 = 75,Q3 = 90,C,E,Capital per year,The Isoquant Map,Chapter 6,Slide 12,Isoquants,The isoquants emphasize how different input combinations can be used to produce the same output. This information allows the producer to respond efficiently to ch
8、anges in the markets for inputs.,Input Flexibility,Chapter 6,Slide 13,Isoquants,Short-run: Period of time in which quantities of one or more production factors cannot be changed. These inputs are called fixed inputs.,The Short Run versus the Long Run,Chapter 6,Slide 14,Isoquants,Long-run Amount of t
9、ime needed to make all production inputs variable.,The Short Run versus the Long Run,Chapter 6,Slide 15,Amount Amount Total Average Marginal of Labor (L) of Capital (K) Output (Q) Product Product,Production with One Variable Input (Labor),0 10 0 - - 1 10 10 10 10 2 10 30 15 20 3 10 60 20 30 4 10 80
10、20 20 5 10 95 19 15 6 10 108 18 13 7 10 112 16 4 8 10 112 14 0 9 10 108 12 -4 10 10 100 10 -8,Chapter 6,Slide 16,Observations: 1) With additional workers, output (Q) increases, reaches a maximum, and then decreases.,Production with One Variable Input (Labor),Chapter 6,Slide 17,Observations: 2) The a
11、verage product of labor (AP), or output per worker, increases and then decreases.,Production with One Variable Input (Labor),Chapter 6,Slide 18,Observations: 3) The marginal product of labor (MP), or output of the additional worker, increases rapidly initially and then decreases and becomes negative
12、.,Production with One Variable Input (Labor),Chapter 6,Slide 19,Labor per Month,Output per Month,60,112,0,2,3,4,5,6,7,8,9,10,1,Production with One Variable Input (Labor),Chapter 6,Slide 20,Production with One Variable Input (Labor),8,10,20,Output per Month,0,2,3,4,5,6,7,9,10,1,Labor per Month,30,Cha
13、pter 6,Slide 21,Observations: When MP = 0, TP is at its maximum When MP AP, AP is increasing When MP AP, AP is decreasing When MP = AP, AP is at its maximum,Production with One Variable Input (Labor),Production with One Variable Input (Labor),Labor per Month,Output per Month,60,112,0,2,3,4,5,6,7,8,9
14、,10,1,A,B,C,D,8,10,20,E,0,2,3,4,5,6,7,9,10,1,30,Output per Month,Labor per Month,Chapter 6,Slide 23,As the use of an input increases in equal increments, a point will be reached at which the resulting additions to output decreases (i.e. MP declines).,Production with One Variable Input (Labor),The La
15、w of Diminishing Marginal Returns,Chapter 6,Slide 24,When the labor input is small, MP increases due to specialization. When the labor input is large, MP decreases due to inefficiencies.,The Law of Diminishing Marginal Returns,Production with One Variable Input (Labor),Chapter 6,Slide 25,Can be used
16、 for long-run decisions to evaluate the trade-offs of different plant configurations Assumes the quality of the variable input is constant,The Law of Diminishing Marginal Returns,Production with One Variable Input (Labor),Chapter 6,Slide 26,Explains a declining MP, not necessarily a negative one Ass
17、umes a constant technology,The Law of Diminishing Marginal Returns,Production with One Variable Input (Labor),Chapter 6,Slide 27,The Effect of Technological Improvement,Labor per time period,Output per time period,50,100,0,2,3,4,5,6,7,8,9,10,1,Chapter 6,Slide 28,Malthus predicted mass hunger and sta
18、rvation as diminishing returns limited agricultural output and the population continued to grow. Why did Malthus prediction fail?,Malthus and the Food Crisis,Chapter 6,Slide 29,Index of World Food Consumption Per Capita,1948-1952 100 1960 115 1970 123 1980 128 1990 137 1995 135 1998 140,Year Index,C
19、hapter 6,Slide 30,Malthus and the Food Crisis,The data show that production increases have exceeded population growth. Malthus did not take into consideration the potential impact of technology which has allowed the supply of food to grow faster than demand.,Chapter 6,Slide 31,Malthus and the Food C
20、risis,Technology has created surpluses and driven the price down. Question If food surpluses exist, why is there hunger?,Chapter 6,Slide 32,Malthus and the Food Crisis,Answer The cost of distributing food from productive regions to unproductive regions and the low income levels of the non-productive
21、 regions.,Chapter 6,Slide 33,Labor Productivity,Production with One Variable Input (Labor),Chapter 6,Slide 34,Labor Productivity and the Standard of Living Consumption can increase only if productivity increases. Determinants of Productivity Stock of capital Technological change,Production with One
22、Variable Input (Labor),Chapter 6,Slide 35,Labor Productivity in Developed Countries,1960-1973 4.75 4.04 8.30 2.89 2.36 1974-1986 2.10 1.85 2.50 1.69 0.71 1987-1997 1.48 2.00 1.94 1.02 1.09,United United France Germany Japan Kingdom States,Annual Rate of Growth of Labor Productivity (%),$54,507 $55,6
23、44 $46,048 $42,630 $60,915,Output per Employed Person (1997),Chapter 6,Slide 36,Trends in Productivity 1) U.S. productivity is growing at a slower rate than other countries. 2) Productivity growth in developed countries has been decreasing.,Production with One Variable Input (Labor),Chapter 6,Slide
24、37,Explanations for Productivity Growth Slowdown 1) Growth in the stock of capital is the primary determinant of the growth in productivity.,Production with One Variable Input (Labor),Chapter 6,Slide 38,Explanations for Productivity Growth Slowdown 2) Rate of capital accumulation in the U.S. was slo
25、wer than other developed countries because the others were rebuilding after WWII.,Production with One Variable Input (Labor),Chapter 6,Slide 39,Explanations for Productivity Growth Slowdown 3) Depletion of natural resources 4) Environment regulations,Production with One Variable Input (Labor),Chapte
26、r 6,Slide 40,Observation U.S. productivity has increased in recent years What Do You Think? Is it a short-term aberration or a new long-run trend?,Production with One Variable Input (Labor),Chapter 6,Slide 41,Production with Two Variable Inputs,There is a relationship between production and producti
27、vity. Long-run production K& L are variable. Isoquants analyze and compare the different combinations of K & L and output,Chapter 6,Slide 42,The Shape of Isoquants,Labor per year,1,2,3,4,1,2,3,4,5,5,In the long run both labor and capital are variable and both experience diminishing returns.,Capital
28、per year,Chapter 6,Slide 43,Reading the Isoquant Model 1) Assume capital is 3 and labor increases from 0 to 1 to 2 to 3. Notice output increases at a decreasing rate (55, 20, 15) illustrating diminishing returns from labor in the short-run and long-run.,Production with Two Variable Inputs,Diminishin
29、g Marginal Rate of Substitution,Chapter 6,Slide 44,Reading the Isoquant Model 2) Assume labor is 3 and capital increases from 0 to 1 to 2 to 3. Output also increases at a decreasing rate (55, 20, 15) due to diminishing returns from capital.,Diminishing Marginal Rate of Substitution,Production with T
30、wo Variable Inputs,Chapter 6,Slide 45,Substituting Among Inputs Managers want to determine what combination if inputs to use. They must deal with the trade-off between inputs.,Production with Two Variable Inputs,Chapter 6,Slide 46,Substituting Among Inputs The slope of each isoquant gives the trade-
31、off between two inputs while keeping output constant.,Production with Two Variable Inputs,Chapter 6,Slide 47,Substituting Among Inputs The marginal rate of technical substitution equals:,Production with Two Variable Inputs,Chapter 6,Slide 48,Marginal Rate of Technical Substitution,Labor per month,1,
32、2,3,4,1,2,3,4,5,5,Capital per year,Isoquants are downward sloping and convex like indifference curves.,Chapter 6,Slide 49,Observations: 1) Increasing labor in one unit increments from 1 to 5 results in a decreasing MRTS from 1 to 1/2. 2) Diminishing MRTS occurs because of diminishing returns and imp
33、lies isoquants are convex.,Production with Two Variable Inputs,Chapter 6,Slide 50,Observations: 3) MRTS and Marginal Productivity The change in output from a change in labor equals:,Production with Two Variable Inputs,Chapter 6,Slide 51,Observations: 3) MRTS and Marginal Productivity The change in o
34、utput from a change in capital equals:,Production with Two Variable Inputs,Chapter 6,Slide 52,Observations: 3) MRTS and Marginal Productivity If output is constant and labor is increased, then:,Production with Two Variable Inputs,Chapter 6,Slide 53,Isoquants When Inputs are Perfectly Substitutable,L
35、abor per month,Capital per month,Chapter 6,Slide 54,Observations when inputs are perfectly substitutable: 1) The MRTS is constant at all points on the isoquant.,Production with Two Variable Inputs,Perfect Substitutes,Chapter 6,Slide 55,Observations when inputs are perfectly substitutable: 2) For a g
36、iven output, any combination of inputs can be chosen (A, B, or C) to generate the same level of output (e.g. toll booths & musical instruments),Production with Two Variable Inputs,Perfect Substitutes,Chapter 6,Slide 56,Fixed-Proportions Production Function,Labor per month,Capital per month,Chapter 6
37、,Slide 57,Observations when inputs must be in a fixed-proportion: 1) No substitution is possible.Each output requires a specific amount of each input (e.g. labor and jackhammers).,Fixed-Proportions Production Function,Production with Two Variable Inputs,Chapter 6,Slide 58,Observations when inputs mu
38、st be in a fixed-proportion: 2) To increase output requires more labor and capital (i.e. moving from A to B to C which is technically efficient).,Fixed-Proportions Production Function,Production with Two Variable Inputs,Chapter 6,Slide 59,A Production Function for Wheat,Farmers must choose between a
39、 capital intensive or labor intensive technique of production.,Chapter 6,Slide 60,Isoquant Describing the Production of Wheat,Labor (hours per year),Capital (machine hour per year),250,500,760,1000,40,80,120,Chapter 6,Slide 61,Observations: 1) Operating at A: L = 500 hours and K = 100 machine hours.
40、,Isoquant Describing the Production of Wheat,Chapter 6,Slide 62,Observations: 2) Operating at B Increase L to 760 and decrease K to 90 the MRTS 1:,Isoquant Describing the Production of Wheat,Chapter 6,Slide 63,Observations: 3) MRTS 1, therefore the cost of labor must be less than capital in order fo
41、r the farmer substitute labor for capital. 4) If labor is expensive, the farmer would use more capital (e.g. U.S.).,Isoquant Describing the Production of Wheat,Chapter 6,Slide 64,Observations: 5) If labor is inexpensive, the farmer would use more labor (e.g. India).,Isoquant Describing the Productio
42、n of Wheat,Chapter 6,Slide 65,Returns to Scale,Measuring the relationship between the scale (size) of a firm and output 1) Increasing returns to scale: output more than doubles when all inputs are doubled Larger output associated with lower cost (autos) One firm is more efficient than many (utilitie
43、s) The isoquants get closer together,Chapter 6,Slide 66,Returns to Scale,Labor (hours),Capital (machine hours),Chapter 6,Slide 67,Returns to Scale,Measuring the relationship between the scale (size) of a firm and output 2) Constant returns to scale: output doubles when all inputs are doubled Size do
44、es not affect productivity May have a large number of producers Isoquants are equidistant apart,Chapter 6,Slide 68,Returns to Scale,Labor (hours),Capital (machine hours),Constant Returns: Isoquants are equally spaced,Chapter 6,Slide 69,Returns to Scale,Measuring the relationship between the scale (s
45、ize) of a firm and output 3) 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,Chapter 6,Slide 70,Returns to Scale,Labor (hours),Capital (machine hours),Decreas
46、ing Returns: Isoquants get further apart,Chapter 6,Slide 71,Returns to Scale in the Carpet Industry,The carpet industry has grown from a small industry to a large industry with some very large firms.,Chapter 6,Slide 72,Returns to Scale in the Carpet Industry,Question Can the growth be explained by t
47、he presence of economies to scale?,Carpet Shipments, 1996 (Millions of Dollars per Year),The U.S. Carpet Industry,1. Shaw Industries $3,202 6. World Carpets $475 2. Mohawk Industries 1,795 7. Burlington Industries 450 3. Beaulieu of America 1,006 8. Collins & Aikman 418 4. Interface Flooring 820 9. Masland Industries 380 5. Queen Carpet 7
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