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Cost
Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],vg/lv/p-ii-6
Cost Concepts ,[object Object],[object Object],[object Object],VG/lv/P-II-6
[object Object],[object Object],[object Object]
VG/lv/P-II-6 Factors hired Cost (Rs.) seed 750.00 labor 1900.00 tractor 2000.00 fertilizer 1100.00 tube well 1250.00 Explicit cost 7000.00 Self-owned factor Opportunity Cost (Rs.) family labor 3500.00 land 5000.00 Implicit cost 8500.00 Economic cost 15500.00
Cost function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],VG/lv/P-II-6
Cost-output relationships in the short run ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],VG/lv/P-II-6 TFC  =
m TVC  =     Pj Xj   j =1 Where  Pj = prices of specified variable inputs   Xj = quantity of variable inputs   m = number of variable inputs Total cost =  TFC + TVC   Q = 0,  TVC = 0 ,  TC = TFC
The family of unit costs ,[object Object],[object Object],[object Object],[object Object]
Unit costs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Marginal cost ,[object Object],[object Object],[object Object]
Cost behavior with increasing and diminishing returns to variable inputs  TP = Q = a + bx +cx 2  – dx 3 AP vi  = b + cx – dx 2 MP vi  = b + 2cx – 3dx 2 TFC = a TVC = bQ – CQ 2  + dQ 3 TC = TFC + TVC = a + bQ – cQ 2  + dQ 3 VG/lv/P-II-6
 
Cost concepts VG/lv/P-II-6 Q TC TFC+TVC TFC TVC ATC AFC+AVC AFC TFC/Q AVC TVC/Q MC =  Δ TC/ △   Δ Q ,[object Object],107.00 85 22 107.00 85.00 22.00 22.00 2. 126.00 85 41 63.00 42.50 20.04 19.00 3. 143.00 85 58 47.66 28.33 19.33 17.00 4. 159.00 85 74 39.75 21.25 18.50 16.00 5. 174.00 85 89 34.80 17.00 17.80 15.00 6. 189.00 85 104 31.50 14.17 17.33 15.00 7. 205.00 85 120 29.28 12.14 17.14 16.00 8. 223.00 85 138 27.88 10.63 17.25 18.00 9. 243.00 85 158 27.00 9.44 17.56 20.00 10. 266.00 85 181 26.60 8.50 18.10 23.00 11. 293.00 85 208 26.64 7.73 18.91 27.00 12. 325.00 85 240 27.08 7.08 20.00 32.00 13. 363.00 85 278 27.92 6.54 21.38 38.00 14. 408.00 85 323 29.14 6.07 23.07 45.00 15. 461.00 85 376 30.74 5.67 25.07 53.00
Results of empirical studies of short-run cost functions Source:  A.A. Walters, “production and cost functions”,  Econometrica,  Vol. 31, No.1 (January 1963), pp.1-66 VG/lv/P-II-6 Name  Type of Industry Finding  Lester (1946) Manufacturing AVC  decreases up to capacity level of output  Hall and Hitch (1939) Manufacturing  Majority have decreasing  MC. Johnston (1960) Electricity multiple-product food processing “ Direct” cost is a linear function of output, and  MC  is constant. Dean (1936) Furniture Constant  MC  which failed to rise Dean (1941) Leather belts No significant increases in  MC Dean (1941) Hosiery  Constant  MC  which failed to rise. Dean (1942) Department store Declining or constant  MC , depending on the department within the store. Ezekiel and Wylie (1941) Steel Declining  MC  but large variation. Yntema (1940) Steel Constant  MC Johnston Electricity  ATC  falls, then flattens, tending toward constant  Mc  up to capacity. Mansfield & Wein (1958) Railways Constant  MC
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],vg/lv/p-ii-6
Case - McGraw Hill’s annual survey of manufacturing firms  ,[object Object],[object Object]
0 100% OF CAPACITY 90% 50% cost AFC AVC MC AC 100% OF CAPACITY 90% 0 50% cost McGraw Hill Study TFC TVC TC
Cost-output relationship in the long run  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],VG/lv/P-II-6
[object Object],[object Object]
Cost behavior and plant size ,[object Object],VG/lv/P-II-6
LRAC ,[object Object],[object Object],[object Object],VG/lv/P-II-6
Minimum efficient scale  C F Pratten’s Study (1988) ,[object Object],[object Object],[object Object],[object Object]
Q MES 1/3 1/2 1 AC 0 cost Pratten’s Study
Cost disadvantage of plants that are 50% of MES Industry Cost disadvantage (%) Industry Cost disadvantage (%) Flour mill 3.0 Synthetic rubber 15.0 Bread baking 7.5 Detergents 2.5 Paper printing 9.0 Bricks 25.0 Sulphuric acid 1.0 Machine tools 5.0
Reasons for economies of scale at the plant level ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Reasons for diseconomies of scale at   the plant level ,[object Object],[object Object],[object Object]
Cost behavior and firm size ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],VG/lv/P-II-6
[object Object],[object Object]
Results of empirical studies of long-run cost function Source – A.A. Walters, “ production and cost functions,” Econometrica, vol. 31, no.1 (January 1963), pp. 1-66 VG/lv/P-II-6 Name  Type of Industry Finding Bain (1956) Manufacturing  Small economies of scale for Multiplant firms. Holton (1956) Retailing LRAC  is L-shaped. Alpert (1959) Metal  Economies of scale up to an output of 80,000 lbs per month; constant returns to scale and horizontal  LRAC  thereafter. Moore (1959) Manufacturing Economies of scale prevail quite generally. Lomax (1951) and Gribbin (1953) Gas (Great Britain) LRAC  of production declines as output rises. Loxam (1952) and Johnston (1960)  Electricity (Great Britain) LRAC  of production declines as output rises.  Johnston (1960)  Life assurance  LRAC  declines. Johnston (1960)  Road passenger transport (Great Britain) LRAC  either falling or constant. Nerlove (1961) Electricity (U.S.) LRAC  (excluding transmission costs) declines and then shows signs of increasing.
Case - Economies of scale ,[object Object],[object Object],[object Object],VG/lv/P-II-6 Sources – State Bank of India Monthly Review, November. 1975, pp. 416 -17 size of plant  (t. per day) fixed investments  (per t.) cost of raw material  (per t.) operating cost  (per t.) 100 4473 324 1307 200 4070 263 1116 300 3945 258 1056
Case - Economies of scale ,[object Object],[object Object],[object Object],[object Object]
Output elasticity of total cost- Responsiveness of TC to the change in total production . If e TC , Q <1  Economies of scale e tc , Q >1  Diseconomies of scale   VG/lv/P-II-6

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Business Economics 07 Theory of Cost

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  • 5. VG/lv/P-II-6 Factors hired Cost (Rs.) seed 750.00 labor 1900.00 tractor 2000.00 fertilizer 1100.00 tube well 1250.00 Explicit cost 7000.00 Self-owned factor Opportunity Cost (Rs.) family labor 3500.00 land 5000.00 Implicit cost 8500.00 Economic cost 15500.00
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  • 9. m TVC =  Pj Xj j =1 Where Pj = prices of specified variable inputs Xj = quantity of variable inputs m = number of variable inputs Total cost = TFC + TVC Q = 0, TVC = 0 , TC = TFC
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  • 13. Cost behavior with increasing and diminishing returns to variable inputs TP = Q = a + bx +cx 2 – dx 3 AP vi = b + cx – dx 2 MP vi = b + 2cx – 3dx 2 TFC = a TVC = bQ – CQ 2 + dQ 3 TC = TFC + TVC = a + bQ – cQ 2 + dQ 3 VG/lv/P-II-6
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  • 16. Results of empirical studies of short-run cost functions Source: A.A. Walters, “production and cost functions”, Econometrica, Vol. 31, No.1 (January 1963), pp.1-66 VG/lv/P-II-6 Name Type of Industry Finding Lester (1946) Manufacturing AVC decreases up to capacity level of output Hall and Hitch (1939) Manufacturing Majority have decreasing MC. Johnston (1960) Electricity multiple-product food processing “ Direct” cost is a linear function of output, and MC is constant. Dean (1936) Furniture Constant MC which failed to rise Dean (1941) Leather belts No significant increases in MC Dean (1941) Hosiery Constant MC which failed to rise. Dean (1942) Department store Declining or constant MC , depending on the department within the store. Ezekiel and Wylie (1941) Steel Declining MC but large variation. Yntema (1940) Steel Constant MC Johnston Electricity ATC falls, then flattens, tending toward constant Mc up to capacity. Mansfield & Wein (1958) Railways Constant MC
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  • 19. 0 100% OF CAPACITY 90% 50% cost AFC AVC MC AC 100% OF CAPACITY 90% 0 50% cost McGraw Hill Study TFC TVC TC
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  • 25. Q MES 1/3 1/2 1 AC 0 cost Pratten’s Study
  • 26. Cost disadvantage of plants that are 50% of MES Industry Cost disadvantage (%) Industry Cost disadvantage (%) Flour mill 3.0 Synthetic rubber 15.0 Bread baking 7.5 Detergents 2.5 Paper printing 9.0 Bricks 25.0 Sulphuric acid 1.0 Machine tools 5.0
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  • 31. Results of empirical studies of long-run cost function Source – A.A. Walters, “ production and cost functions,” Econometrica, vol. 31, no.1 (January 1963), pp. 1-66 VG/lv/P-II-6 Name Type of Industry Finding Bain (1956) Manufacturing Small economies of scale for Multiplant firms. Holton (1956) Retailing LRAC is L-shaped. Alpert (1959) Metal Economies of scale up to an output of 80,000 lbs per month; constant returns to scale and horizontal LRAC thereafter. Moore (1959) Manufacturing Economies of scale prevail quite generally. Lomax (1951) and Gribbin (1953) Gas (Great Britain) LRAC of production declines as output rises. Loxam (1952) and Johnston (1960) Electricity (Great Britain) LRAC of production declines as output rises. Johnston (1960) Life assurance LRAC declines. Johnston (1960) Road passenger transport (Great Britain) LRAC either falling or constant. Nerlove (1961) Electricity (U.S.) LRAC (excluding transmission costs) declines and then shows signs of increasing.
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  • 34. Output elasticity of total cost- Responsiveness of TC to the change in total production . If e TC , Q <1 Economies of scale e tc , Q >1 Diseconomies of scale VG/lv/P-II-6