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Production Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],A C T I V E  L E A R N I N G  Brainstorming the concept of costs
Total Revenue, Total Cost, Profit ,[object Object],Profit   =  Total revenue   –  Total cost 0 the amount a firm receives from the sale of its output the market value of the inputs a firm uses in production
Costs:  Explicit vs. Implicit ,[object Object],[object Object],[object Object],[object Object],[object Object],0
Explicit vs. Implicit Costs:  An Example ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],0 In both cases, total (expl   +  impl) costs are $5000.
Economic Profit  vs. Accounting Profit ,[object Object],[object Object],[object Object],[object Object],[object Object],0
Economists versus Accountants How an Economist Views a Firm How an Accountant Views a Firm Revenue Total opportunity costs Revenue Economic profit Implicit costs Explicit costs Explicit costs Accounting profit
[object Object],[object Object],[object Object],[object Object],A C T I V E  L E A R N I N G  Economic profit vs. accounting profit
[object Object],[object Object],[object Object],[object Object],[object Object],A C T I V E  L E A R N I N G  2   Answers
Theory of Production ,[object Object],[object Object],[object Object]
[object Object]
Total Product Curve
Concepts of product ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Concepts of product ,[object Object],[object Object],[object Object]
Marginal Product   ,[object Object],[object Object],If labor is the variable input: then  marginal product  of labour is  ,[object Object],[object Object]
The Production Function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],0
Example 1:  Farmer Jack’s Production Function 0 0 500 1,000 1,500 2,000 2,500 3,000 0 1 2 3 4 5 No. of workers Quantity of output 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Q   (bushels  of wheat) L (no. of workers)
Marginal Product ,[object Object],[object Object],[object Object],[object Object],[object Object],0 ∆ Q ∆ L
EXAMPLE 1:  Total & Marginal Product 200 400 600 800 1000 MP L 0 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Q   (bushels  of wheat) L (no. of workers) ∆ Q  = 1000 ∆ L  = 1 ∆ Q  = 800 ∆ L  = 1 ∆ Q  = 600 ∆ L  = 1 ∆ Q  = 400 ∆ L  = 1 ∆ Q  = 200 ∆ L  = 1
EXAMPLE 1: MP L  = Slope of Prod Function MP L  equals the  slope of the production function.  Notice that  MP L  diminishes  as  L  increases. This explains why the production function gets flatter  as  L  increases.  3000 5 200 2800 4 400 2400 3 600 1800 2 800 1000 1 1000 0 0 MP L Q (bushels  of wheat) L (no. of workers) 0 0 500 1,000 1,500 2,000 2,500 3,000 0 1 2 3 4 5 No. of workers Quantity of output
Why MP L  Is Important ,[object Object],[object Object],[object Object],[object Object],[object Object]
Why MP L  Diminishes ,[object Object],[object Object],[object Object],[object Object]
Production Function with One Variable Input ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Law of Variable Proportions
Law of Variable Proportions ,[object Object]
Law of Variable Proportions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],Factor Combination Labour Capital A 1 12 B 2 8 C 3 5 D 4 3 E 5 2
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object]
Production Function with Two Variable Inputs ,[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object],[object Object],[object Object]
Production Function with Two Variable Inputs ,[object Object],[object Object],[object Object]
Cost-Benefit Analysis in an Advertisement
Cost Concepts ,[object Object],[object Object],[object Object]
EXAMPLE 1:  Farmer Jack’s Costs ,[object Object],[object Object],[object Object]
Fixed and Variable Costs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],0
EXAMPLE 1:  Farmer Jack’s Costs Total  Cost 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Cost of labor Cost of land Q (bushels  of wheat) L (no. of workers) 0 $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 $10,000 $8,000 $6,000 $4,000 $2,000 $0 $1,000 $1,000 $1,000 $1,000 $1,000 $1,000
EXAMPLE 1:  Farmer Jack’s Total Cost Curve Q   (bushels  of wheat) Total  Cost 0 $1,000 1000 $3,000 1800 $5,000 2400 $7,000 2800 $9,000 3000 $11,000
Marginal Cost ,[object Object],[object Object],∆ TC ∆ Q MC  =
EXAMPLE 1:  Total and Marginal Cost $10.00 $5.00 $3.33 $2.50 $2.00 Marginal Cost ( MC ) $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 Total  Cost 3000 2800 2400 1800 1000 0 Q (bushels  of wheat) ∆ Q  = 1000 ∆ TC  = $2000 ∆ Q  = 800 ∆ TC  = $2000 ∆ Q  = 600 ∆ TC  = $2000 ∆ Q  = 400 ∆ TC  = $2000 ∆ Q  = 200 ∆ TC  = $2000
EXAMPLE 1:  The Marginal Cost Curve MC  usually rises  as  Q  rises,  as in this example. $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 TC MC 3000 2800 2400 1800 1000 0 Q (bushels  of wheat) $10.00 $5.00 $3.33 $2.50 $2.00
Why MC Is Important ,[object Object],[object Object],[object Object]
EXAMPLE 2 ,[object Object]
Example 2:  Costs 7 6 5 4 3 2 1 0 TC VC FC Q $0 $100 $200 $300 $400 $500 $600 $700 $800 0 1 2 3 4 5 6 7 Q Costs FC VC TC 0 620 480 380 310 260 220 170 $100 520 380 280 210 160 120 70 $0 100 100 100 100 100 100 100 $100
EXAMPLE 2:  Marginal Cost Recall,  Marginal Cost ( MC )   is the change in total cost from producing one more unit: Usually,  MC  rises as  Q  rises, due to diminishing marginal product.  Sometimes (as here),  MC  falls before rising.  (In other examples,  MC  may be constant.)  620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 MC TC Q 140 100 70 50 40 50 $70 ∆ TC ∆ Q MC  =
EXAMPLE 2:  Average Fixed Cost 100 7 100 6 100 5 100 4 100 3 100 2 100 1 $100 0 AFC FC Q Average fixed cost ( AFC )   is the fixed cost per unit of the quantity of output: AFC  =  FC / Q Notice that  AFC  falls as  Q  rises:  The firm is spreading its fixed costs over a larger and larger number of units.  0 14.29 16.67 20 25 33.33 50 $100 n.a.
EXAMPLE 2:  Average Variable Cost 520 7 380 6 280 5 210 4 160 3 120 2 70 1 $0 0 AVC VC Q Average variable cost ( AVC )   is the variable cost per unit of the output: AVC  =  VC / Q As  Q  rises,  AVC  may fall initially.  In most cases,  AVC  will eventually rise as output rises. 0 74.29 63.33 56.00 52.50 53.33 60 $70 n.a.
EXAMPLE 2:  Average Total Cost [a.k.a. Average Cost] ATC 620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 TC Q 0 Average total cost ( ATC )  is the total cost per unit of the output: ATC  =  TC / Q Also, ATC  =  AFC  +  AVC 88.57 80 76 77.50 86.67 110 $170 n.a. 74.29 14.29 63.33 16.67 56.00 20 52.50 25 53.33 33.33 60 50 $70 $100 n.a. n.a. AVC AFC
EXAMPLE 2:  Average Total Cost Usually, as in this example, the  ATC  curve is U-shaped. 88.57 80 76 77.50 86.67 110 $170 n.a. ATC 620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 TC Q 0 $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
EXAMPLE 2:  The Various Cost Curves Together 0 AFC AVC ATC MC $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
A   C   T   I   V   E  L   E   A   R   N   I   N   G  3 :  Costs ,[object Object],210 150 100 30 10 VC 43.33 35 8.33 260 6 30 5 37.50 12.50 150 4 36.67 20 16.67 3 80 2 $60.00 $10 1 n.a. n.a. n.a. $50 0 MC ATC AVC AFC TC Q 60 30 $10
[object Object],A   C   T   I   V   E  L   E   A   R   N   I   N   G  3 :  Answers Use  AFC  =  FC / Q Use  AVC  =  VC / Q Use relationship between  MC  and  TC Use  ATC  =  TC / Q 210 150 100 60 30 10 $0 VC 43.33 35 8.33 260 6 40.00 30 10.00 200 5 37.50 25 12.50 150 4 36.67 20 16.67 110 3 40.00 15 25.00 80 2 $60.00 $10 $50.00 60 1 n.a. n.a. n.a. $50 0 MC ATC AVC AFC TC Q 60 50 40 30 20 $10
EXAMPLE 2:  Why ATC Is Usually U-Shaped 0 As  Q  rises: Initially,  falling  AFC   pulls  ATC  down. Eventually,  rising  AVC   pulls  ATC  up.  $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
EXAMPLE 2:  ATC and MC 0 When  MC  <  ATC , ATC  is falling. When  MC  >  ATC , ATC  is rising. The  MC  curve crosses the  ATC  curve at  the  ATC  curve’s minimum. That is, when MC=AC, ATC is at its minimum. ATC MC $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
Costs in the Short Run & Long Run ,[object Object],[object Object],[object Object]
EXAMPLE 3:  LRATC with 3 factory Sizes Firm can choose from 3 factory sizes:  S ,  M ,  L .  Each size has its own  SRATC  curve.  The firm can change to a different factory size in the long run, but not in the short run.  ATC S ATC M ATC L Q Avg Total Cost
EXAMPLE 3:  LRATC with 3 factory Sizes LRATC To produce less than  Q A , firm will choose size  S   in the long run.  To produce between  Q A   and  Q B , firm will choose size  M   in the long run.  To produce more than  Q B , firm will choose size  L   in the long run. ATC S ATC M ATC L Q Avg Total Cost  Q A Q B
A Typical LRATC Curve In the real world, factories come in many sizes,  each with its own  SRATC  curve.  So a typical  LRATC  curve  looks like this: Q ATC LRATC
How ATC Changes As  the Scale of Production Changes Economies of scale :  ATC  falls  as  Q  increases.  Constant returns to scale :  ATC  stays the same  as  Q  increases. Diseconomies of scale :  ATC  rises  as  Q  increases.  LRATC Q ATC
How ATC Changes As  the Scale of Production Changes ,[object Object],[object Object],[object Object],[object Object]
Summary ,[object Object],[object Object],[object Object]
Summary ,[object Object],[object Object],[object Object]
Summary ,[object Object],[object Object],[object Object],[object Object]
Summary ,[object Object],[object Object],[object Object]
CONCLUSION ,[object Object],[object Object],[object Object]
Law of Diminishing Marginal Returns ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Law of DMR ,[object Object],[object Object],[object Object],[object Object],[object Object]
Law of DMR ,[object Object]

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Units 2&3 prod. & cost functions

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  • 7. Economists versus Accountants How an Economist Views a Firm How an Accountant Views a Firm Revenue Total opportunity costs Revenue Economic profit Implicit costs Explicit costs Explicit costs Accounting profit
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  • 17. Example 1: Farmer Jack’s Production Function 0 0 500 1,000 1,500 2,000 2,500 3,000 0 1 2 3 4 5 No. of workers Quantity of output 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Q (bushels of wheat) L (no. of workers)
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  • 19. EXAMPLE 1: Total & Marginal Product 200 400 600 800 1000 MP L 0 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Q (bushels of wheat) L (no. of workers) ∆ Q = 1000 ∆ L = 1 ∆ Q = 800 ∆ L = 1 ∆ Q = 600 ∆ L = 1 ∆ Q = 400 ∆ L = 1 ∆ Q = 200 ∆ L = 1
  • 20. EXAMPLE 1: MP L = Slope of Prod Function MP L equals the slope of the production function. Notice that MP L diminishes as L increases. This explains why the production function gets flatter as L increases. 3000 5 200 2800 4 400 2400 3 600 1800 2 800 1000 1 1000 0 0 MP L Q (bushels of wheat) L (no. of workers) 0 0 500 1,000 1,500 2,000 2,500 3,000 0 1 2 3 4 5 No. of workers Quantity of output
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  • 25. Law of Variable Proportions
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  • 49. Cost-Benefit Analysis in an Advertisement
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  • 53. EXAMPLE 1: Farmer Jack’s Costs Total Cost 3000 5 2800 4 2400 3 1800 2 1000 1 0 0 Cost of labor Cost of land Q (bushels of wheat) L (no. of workers) 0 $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 $10,000 $8,000 $6,000 $4,000 $2,000 $0 $1,000 $1,000 $1,000 $1,000 $1,000 $1,000
  • 54. EXAMPLE 1: Farmer Jack’s Total Cost Curve Q (bushels of wheat) Total Cost 0 $1,000 1000 $3,000 1800 $5,000 2400 $7,000 2800 $9,000 3000 $11,000
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  • 56. EXAMPLE 1: Total and Marginal Cost $10.00 $5.00 $3.33 $2.50 $2.00 Marginal Cost ( MC ) $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 Total Cost 3000 2800 2400 1800 1000 0 Q (bushels of wheat) ∆ Q = 1000 ∆ TC = $2000 ∆ Q = 800 ∆ TC = $2000 ∆ Q = 600 ∆ TC = $2000 ∆ Q = 400 ∆ TC = $2000 ∆ Q = 200 ∆ TC = $2000
  • 57. EXAMPLE 1: The Marginal Cost Curve MC usually rises as Q rises, as in this example. $11,000 $9,000 $7,000 $5,000 $3,000 $1,000 TC MC 3000 2800 2400 1800 1000 0 Q (bushels of wheat) $10.00 $5.00 $3.33 $2.50 $2.00
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  • 60. Example 2: Costs 7 6 5 4 3 2 1 0 TC VC FC Q $0 $100 $200 $300 $400 $500 $600 $700 $800 0 1 2 3 4 5 6 7 Q Costs FC VC TC 0 620 480 380 310 260 220 170 $100 520 380 280 210 160 120 70 $0 100 100 100 100 100 100 100 $100
  • 61. EXAMPLE 2: Marginal Cost Recall, Marginal Cost ( MC ) is the change in total cost from producing one more unit: Usually, MC rises as Q rises, due to diminishing marginal product. Sometimes (as here), MC falls before rising. (In other examples, MC may be constant.) 620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 MC TC Q 140 100 70 50 40 50 $70 ∆ TC ∆ Q MC =
  • 62. EXAMPLE 2: Average Fixed Cost 100 7 100 6 100 5 100 4 100 3 100 2 100 1 $100 0 AFC FC Q Average fixed cost ( AFC ) is the fixed cost per unit of the quantity of output: AFC = FC / Q Notice that AFC falls as Q rises: The firm is spreading its fixed costs over a larger and larger number of units. 0 14.29 16.67 20 25 33.33 50 $100 n.a.
  • 63. EXAMPLE 2: Average Variable Cost 520 7 380 6 280 5 210 4 160 3 120 2 70 1 $0 0 AVC VC Q Average variable cost ( AVC ) is the variable cost per unit of the output: AVC = VC / Q As Q rises, AVC may fall initially. In most cases, AVC will eventually rise as output rises. 0 74.29 63.33 56.00 52.50 53.33 60 $70 n.a.
  • 64. EXAMPLE 2: Average Total Cost [a.k.a. Average Cost] ATC 620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 TC Q 0 Average total cost ( ATC ) is the total cost per unit of the output: ATC = TC / Q Also, ATC = AFC + AVC 88.57 80 76 77.50 86.67 110 $170 n.a. 74.29 14.29 63.33 16.67 56.00 20 52.50 25 53.33 33.33 60 50 $70 $100 n.a. n.a. AVC AFC
  • 65. EXAMPLE 2: Average Total Cost Usually, as in this example, the ATC curve is U-shaped. 88.57 80 76 77.50 86.67 110 $170 n.a. ATC 620 7 480 6 380 5 310 4 260 3 220 2 170 1 $100 0 TC Q 0 $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
  • 66. EXAMPLE 2: The Various Cost Curves Together 0 AFC AVC ATC MC $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
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  • 69. EXAMPLE 2: Why ATC Is Usually U-Shaped 0 As Q rises: Initially, falling AFC pulls ATC down. Eventually, rising AVC pulls ATC up. $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
  • 70. EXAMPLE 2: ATC and MC 0 When MC < ATC , ATC is falling. When MC > ATC , ATC is rising. The MC curve crosses the ATC curve at the ATC curve’s minimum. That is, when MC=AC, ATC is at its minimum. ATC MC $0 $25 $50 $75 $100 $125 $150 $175 $200 0 1 2 3 4 5 6 7 Q Costs
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  • 72. EXAMPLE 3: LRATC with 3 factory Sizes Firm can choose from 3 factory sizes: S , M , L . Each size has its own SRATC curve. The firm can change to a different factory size in the long run, but not in the short run. ATC S ATC M ATC L Q Avg Total Cost
  • 73. EXAMPLE 3: LRATC with 3 factory Sizes LRATC To produce less than Q A , firm will choose size S in the long run. To produce between Q A and Q B , firm will choose size M in the long run. To produce more than Q B , firm will choose size L in the long run. ATC S ATC M ATC L Q Avg Total Cost Q A Q B
  • 74. A Typical LRATC Curve In the real world, factories come in many sizes, each with its own SRATC curve. So a typical LRATC curve looks like this: Q ATC LRATC
  • 75. How ATC Changes As the Scale of Production Changes Economies of scale : ATC falls as Q increases. Constant returns to scale : ATC stays the same as Q increases. Diseconomies of scale : ATC rises as Q increases. LRATC Q ATC
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Notes de l'éditeur

  1. In this case, the foregone interest is the interest you could have earned on your savings. It is an opportunity cost. This example shows that an important implicit cost is the cost of capital, the foregone returns you could have earned had you used your savings to buy bonds or other assets instead of investing them in your business.
  2. Thinking at the margin helps not only Jack, but all managers in the real world, who make business decisions every day by comparing marginal costs with marginal benefits.
  3. A lighter look at an instance of cost-benefit analysis in real life. This billboard of a jeweler was seen in the town of Charleston, SC, in the United States.
  4. NOTES: ON OCT 26, 2009, STOP AT SLIDE 58 (INCLUDED FOR IInd INTERNAL EXAM) FOR SECTION A.
  5. Point out that the TC curve is parallel to the VC curve, but is higher by the amount FC.
  6. Many students have heard the terms “cost per unit” or “unit cost” in other business courses. ATC means the same thing.