Calculation of marginal total costs from real source data

The real calculation will be carried out on the basis of the intersectoral balance for the Republic of Belarus for 1996 in the system of national accounts, Table. 6.11., 6.12., 6.13., 6.14., 6.15.

On the basis of the procedure set forth for a conditional example, we calculate the matrices of coefficients of full salary intensity and full capital intensity, Table. 6.16. and 6.17.

The last line of these tables is a control, since the sum of its elements gives the total amount of wages  and fixed assets in the national economy. As a result, we get a matrix of marginal total costs of all factors taken into account,
Table. 6.18.

Analysis of the last matrix shows that the most expensive industry among those considered is agriculture, which is due to the high material intensity of its products.

The least expensive industry is transport. The republic can get great  benefits from the development of transport services and even more so from the arrangement and operation of its part of the West-East transport corridor.

Table 6.11 Resource requirements

Intersectoral balance of the Republic of Belarus for 1996 in the SNA (trillion rubles)

Industry

Consumers

Industry

Suppliers

Intermediate consumption by industry

Intermediate consumption

TOTAL

End

consumption

Gross

accumulation

Import balances-

Export

Export

Import

Final product

Gross

issue

1

2

3

4

5

6

7

8

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

1

Mechanical Engineering and Metalworking

11,9

2,5

0,7

2,0

1,3

0,7

0,1

2,6

21,7

5,5

19,6

8,8

25,9

17,2

33,9

55,6

2

Etc. Industries

13,2

75,5

9,3

12,7

6,3

7,5

0,6

17,3

142,2

58,1

2,3

-17,5

53,2

70,7

42,9

185,1

3

Construction

0,0

0,0

0,0

0,0

0,0

0,0

0,0

0,0

0,0

0,2

21,1

0,7

0,8

0,1

22,0

22,0

4

Agriculture and forestry

0,0

17,0

0,0

33,0

0,0

0,5

0,0

0,7

51,3

24,3

1,7

-3,1

1,5

4,6

23,0

74,3

5

Transport and communications

1,7

12,5

1,2

1,1

0,9

1,2

0,2

1,0

19,9

7,6

0,0

4,8

6,9

2,1

12,4

32,3

6

Sphere of circulation

4,1

21,5

0,1

1,5

0,1

0,5

0,3

0,1

28,2

4,8

0,0

-0,1

0,3

0,4

4,7

32,9

7

Ave. branches of material production

0,1

0,5

0,1

0,2

0,1

0,3

0,0

0,3

1,6

0,6

0,4

0,0

0,1

0,1

1,0

2,6

8

Non-manufacturing sectors

2,5

2,9

0,8

0,3

1,1

1,2

0,0

3,8

12,8

45,1

0,0

-0,7

0,1

0,9

44,3

57,1

9

Total

33,5

132,4

12,2

50,7

9,8

11,9

1,3

25,8

277,7

146,2

45,1

-7,2

88,9

96,1

184,2

461,9

End of Table 6.11

1

2

3

4

5

6

7

8

9

10

11

10

Remuneration of employees – total

9,3

16,5

7,2

8,6

6,9

6,8

1,1

25,6

82,0

11

Gross profit

8,1

18,1

0,5

3,9

13,1

7,2

0,1

4,9

55,9

12

Gross mixed income

0,4

0,4

0,6

13,9

0,2

3,5

0,0

0,2

19,1

13

Other production taxes

0,9

2,9

0,7

0,6

0,9

0,7

0,0

0,6

7,3

14

Other production subsidies

0,0

0,0

0,0

0,9

0,0

0,0

0,0

0,0

0,9

15

Total value added
(in basic prices)

18,7

37,8

8,9

26,1

21,0

18,2

1,3

31,3

163,4

16

Taxes on products

3,4

14,9

1,9

0,5

2,2

3,0

0,1

1,3

6,5

17

Subsidies for products

0,0

0,1

1,0

3,0

0,7

0,2

0,1

1,3

6,5

18

Gross Domestic Product – Total

22,1

52,7

9,8

23,6

22,5

21,0

1,3

31,3

184,2

19

TOTAL RESOURCES

55,6

185,1

22,0

74,3

32,3

32,9

2,6

57,1

461,9

20

Import (including importation)

17,2

70,7

0,1

4,6

2,1

0,4

0,1

0,9

96,1

21

incl. import

9,6

18,9

0,1

1,1

2,0

0,4

0,0

0,7

32,9

22

TOTAL resources (including importation)

72,8

255,8

22,1

78,9

34,4

33,3

2,7

58,0

558,0

23

Release without trade and transport margin and import

51,3

153,2

22,0

72,2

32,3

32,9

2,2

57,1

423,2

24

Average annual number of employees,  thousand people

675,5

1050,6

297,5

710,3

290,8

390,2

56,2

1243,9

4715,0

25

Average annual cost of fixed capital

44,5

100,5

11,8

66,2

50,8

15,1

1,0

162,4

452,3

26

Consumption of fixed capital

2,6

9,0

1,0

3,8

5,0

0,7

0,1

6,2

28,4

Table 6.12 Resource requirements

Matrix of coefficients of direct costs of intermediate product, labor and capital for 1996 (in rubles per 1000 rubles)

Name of industries

INDUSTRY

Mechanical Engineering, Metalwork.

Etc. industry

Construction

Agriculture and forestry

Transport and communications

Sphere of circulation

Ave. industry mat. pro-va

Industries non-production. Sphere

1

Mechanical Engineering and Metalworking

213,41

13,51

31,19

27,13

40,05

20,52

33,65

44,85

2

Etc. Industries

236,70

408,05

421,20

170,49

194,09

226,64

224,95

302,52

3

Construction

0,00

0,00

0,00

0,00

0,00

0,00

0,00

0,00

4

Agriculture and forestry

0,29

92,09

0,09

444,38

0,02

15,52

0,22

13,09

5

Transport and communications

31,05

67,52

55,56

14,26

27,12

37,17

102,56

17,77

6

Sphere of circulation

74,00

116,15

3,51

19,84

4,35

15,55

113,02

1,61

7

Ave. industry mat. Production

2,64

2,53

6,42

2,12

2,49

9,47

16,85

5,23

8

Non-manufacturing sectors

45,14

15,65

36,88

4,61

35,26

37,84

14,97

66,95

Total

603,22

715,50

554,85

682,83

303,39

362,71

506,22

452,04

Wages

0,17

0,09

0,32

0,11

0,21

0,2

0,41

0,45

Capital intensity

0,8

0,54

0,54

0,89

1,57

0,46

0,38

2,84

Table 6.13 Resource requirements

Matrix of coefficients of total costs of the intermediate product for 1996 (in rubles per 1000 rubles)

Name of industries

INDUSTRY

Mechanical Engineering, Metalwork.

Etc. industry

Construction

Agriculture and forestry

Transport and communications

Sphere of circulation

Ave. industry mat. pro-va

Industries non-production. Sphere

1

Mechanical Engineering and Metalworking

1303,18

63,76

75,22

87,77 

69,91

49,89

73,55

86,34

2

Etc. Industries

709,40

1989,66

917,12

684,00

455,49

533,54

599,20

701,10

3

Construction

0

0

1000,00

0

0

0

0

0

4

Agriculture and forestry

125,49

338,02

157,27

1917,56

78,69

120,21

106,29

144,58

5

Transport and communications

102,20

156,51

132,61

84,67

1066,93

84,34

161,51

78,13

6

Sphere of circulation

185,70

248,16

122,58

127,26

65,97

1086,84

196,44

95,30

7

Ave. industry mat. Production

8,11

9,09

11,32

7,75

5,16

12,76

1021,65

9,28

8

Non-manufacturing sectors

87,07

54,24

69,48

33,67

54,48

59,42

44,59

1095,20

Total by columns

2521,15

2859,44

2485,6

2942,68

1796,63

1947,00

2203,23

2209,93

Table 6.14 Resource requirements

Structure of indicators I and II quadrants of the intersectoral balance

(use of manufactured product) for 1996 (%)

Name of industries

Resource Usage

Final consumption

Gross accumulation

Import-export balance

Export

Import

Final Products

Gross output

1

Mechanical Engineering and Metalworking

7,81

3,79

43,51

-121,98

29,20

17,91

18,42

12,04

2

Etc. industry

51,21

39,76

4,99

244,33

59,86

73,64

23,27

40,07

3

Construction

0,00

0,11

46,85

-9,88

0,87

0,07

11,95

4,76

4

Agriculture and forestry

18,49

16,62

3,82

42,80

1,69

4,76

12,47

16,09

5

Transport and communications

7,15

5,21

0,00

-66,76

7,80

2,23

6,74

6,99

6

Sphere of circulation

10,14

3,28

0,00

0,88

0,37

0,41

2,57

7,12

7

Ave. industry mat. Production

0,59

0,41

0,83

0,17

0,07

0,07

0,52

0,57

8

Industries are not called. Sphere

4,61

30,82

0,00

10,43

0,14

0,91

24,06

12,37

TOTAL

100,00

100,00

100,00

100,00

100,00

100,00

100,00

100,00

Table 6.15 Resource requirements

Sectoral structure of indicators of the III quadrant of the intersectoral balance

(product creation) 1996 (%)

Name of industries

Material costs

Remuneration of employees

Gross profit

Gross

mixed income

Gross

added value

Taxes on products

Subsidies for products

Gross domestic. product

Average. number of employees

1

Mechanical Engineering and Metalworking

12,08

11,32

14,46

1,95

11,43

12,51

0,47

11,98

14,33

2

Etc. industry

47,68

20,12

32,41

1,93

23,17

54,59

1,96

28,59

22,28

3

Construction

4,40

8,76

0,89

3,11

5,47

6,94

16,03

5,32

6,31

4

Agriculture and forestry

18,27

10,47

6,94

72,75

15,96

1,82

45,91

12,80

15,07

5

Transport and communications

3,53

8,38

23,52

0,83

12,88

7,98

11,43

12,21

6,17

6

Sphere of circulation

4,30

8,34

12,89

18,15

11,14

11,01

3,58

11,38

8,28

7

Ave. industry mat. Production

0,46

1,36

0,18

0,00

0,77

0,49

0,98

0,72

1,19

8

Industries non-production. Sphere

9,30

31,24

8,72

1,26

19,17

4,65

19,64

17,00

26,38

TOTAL

100,00

100,00

100,00

100,00

100,00

100,00

100,00

100,00

100,00

Table 6.16 Resource requirements

Combined total cost ratio matrices

intermediate product and full salary intensity for 1996

Industry

Indicators

INDUSTRY

1

2

3

4

5

6

7

8

1

Mechanical Engineering and Metalworking

Direct salary intensity coefficient

0,17

1,303

0,64

0,075

0,088

0,07

0,05

0,073

0,086

Line of coefficients of total salary intensity

0,2215

0,01

0,0127

0,01496

0,019

0,008

0,0124

0,0146

2

Etc. Industries

Direct salary intensity coefficient

0,09

0,709

1,99

0,917

0,684

0,455

0,533

0,599

0,7

Line of coefficients of total salary intensity

0,0638

0,179

0,082

0,0616

0,0409

0,0478

0,0539

0,063

3

Construction

Direct salary intensity coefficient

0,32

0

0

1,0

0

0

0

0

0

Line of coefficients of total salary intensity

0

0

0,32

0

0

0

0

0

4

Agriculture and forestry

Direct salary intensity coefficient

0,11

0,125

0,338

0,157

1,917

0,079

0,12

0,106

0,145

Line of coefficients of total salary intensity

0,0137

0,0372

0,0173

0,211

0,0087

0,013

0,0117

0,016

5

Transport and communications

Direct salary intensity coefficient

0,21

0,102

0,156

0,133

0,085

1,067

0,084

0,161

0,078

Line of coefficients of total salary intensity

0,0214

0,0328

0,0279

0,0178

0,224

0,0176

0,0338

0,0164

6

Sphere of circulation

Direct salary intensity coefficient

0,2

0,186

0,248

0,122

0,127

0,066

1,087

0,196

0,095

Line of coefficients of total salary intensity

0,037

0,0496

0,0244

0,0254

0,0132

0,217

0,0392

0,019

7

Ave. industry mat. Production

Direct salary intensity coefficient

0,42

0,008

0,009

0,011

0,008

0,005

0,013

1,022

0,009

Line of coefficients of total salary intensity

0,0034

0,0038

0,0046

0,0034

0,0021

0,0054

0,429

0,0038

8

Non-production. sphere

Direct salary intensity coefficient

0,45

0,087

0,054

0,069

0,034

0,054

0,059

0,044

1,095

Line of coefficients of total salary intensity

0,0391

0,0243

0,031

0,015

0,024

0,0265

0,0198

0,4927

9

Total (full salary intensity by industry)

0,3999

0,3367

0,5199

0,3491

0,3258

0,3353

0,5998

0,6255

10

The final product (see Table. 96.1.)

33,9

42,9

22,0

23,0

12,4

4,7

1,0

44,3

The total cost of labor in all industries (the works of the eponymous elements, pages 9 and 10, in total, give the total amount of wages for the national economy, equal to 82 trillion rubles, Table. 96.1.)

13,56

14,44

11,44

8,03

4,04

1,57

0,6

27,71

Note: 1. The elements of the lines of the coefficients of total salary intensity are obtained as a result of multiplying the coefficients of direct salary intensity by each element of the line of the coefficients of total costs.

2. The elements of line 9 are obtained by summing the coefficients of total salary intensity by industry (0.2215 + 0.0638 + 0.0137 + 0.0214 + 0.037 + 0.0034 + 0.0391 = 0.3999).

Table 6.17 Resource requirements

Combined matrices of total cost coefficients of the intermediate product

and full capital intensity in 1996

Industries & Performance

INDUSTRY

1

2

3

4

5

6

7

8

1

Mechanical Engineering and Metalworking

Direct capital intensity ratio

0,8

1,303

0,064

0,075

0,088

0,07

0,05

0,073

0,086

Line of total capital intensity coefficients

1,042

0,051

0,06

0,07

0,06

0,04

0,058

0,0688

2

Etc. Industries

Direct capital intensity ratio

0,54

0,709

1,99

0,917

0,684

0,455

0,533

0,599

0,7

Line of total capital intensity coefficients

0,383

1,075

0,495

0,369

0,246

0,288

0,323

0,378

3

Construction

Direct capital intensity ratio

0,54

0

0

1,0

0

0

0

0

0

Line of total capital intensity coefficients

0

0

0,54

0

0

0

0

0

4

Agriculture and forestry

Direct capital intensity ratio

0,89

0,125

0,338

0,157

1,917

0,079

0,12

0,106

0,145

Line of total capital intensity coefficients

0,1125

0,3

0,14

1,706

0,0703

0,107

0,094

0,129

5

Transport and communications

Direct capital intensity ratio

1,57

0,102

0,156

0,133

0,085

1,067

0,084

0,161

0,078

Line of total capital intensity coefficients

0,1601

0,245

0,209

0,133

1,675

0,132

0,253

0,1225

6

Sphere of circulation

Direct capital intensity ratio

0,46

0,186

0,248

0,122

0,127

0,066

1,087

0,196

0,095

Line of total capital intensity coefficients

0,0856

0,114

0,0561

0,0584

0,0304

0,5

0,0902

0,0437

7

Ave. industry mat. Production

Direct capital intensity ratio

0,38

0,008

0,009

0,011

0,008

0,005

0,013

1,022

0,009

Line of total capital intensity coefficients

0,003

0,0031

0,0042

0,003

0,002

0,005

0,388

0,003

8

Non-production. sphere

Direct capital intensity ratio

2,84

0,087

0,054

0,069

0,034

0,054

0,059

0,044

1,095

Line of total capital intensity coefficients

0,247

0,1534

0,196

0,0966

0,1534

0,1676

0,125

3,11

9

Total (full capital intensity by industry)

2,0317

1,9415

1,7

2,436

2,2371

1,2396

1,3312

3,855

10

The final product (see Table. 96.1.)

33,9

42,9

22

23

12,4

4,7

1

44,3

The total expenditure of capital in the regions (the products of the eponymous elements of lines 9 and 10 in total give the total amount of wages for the national economy, equal to 452 trillion rubles, Table 9 and 10). 96.1.))

68,87

83,29

37,4

56,03

27,74

5,83

1,3312

170,78

Notes 1 and 2 to Table 96.6. are also valid for Table 96.7., but in application for capital intensity.

Table 6.18 Resource requirements

Total cost matrix of all factors for 1996

INDUSTRY

Mechanical Engineering, Metalwork.

Etc. industry

Construction

Agriculture and forestry

Transport and communications

Sphere of circulation

Ave. industry mat. pro-va

Industries non-production. Sphere

Total sub-product total cost ratios/rank

2,521–1

2,859–1

2,485–1

2,942–1

1,797–1

1,947–1

2,203–1

2,210–1

3

2

4

1

8

7

6

5

Total coefficients of total salary intensity
(labor intensity)/rank

0,4

0,337

0,52

0,349

0,326

0,335

0,6

0,626

4

6

3

5

8

7

2

1

Total coefficients of total costs of intermediate product and labor/rank

1,921

2,196

2,005

2,291

1,123

1,282

1,803

1,836

4

2

3

1

8

7

6

5

Total coefficients of total capital intensity/rank

2,032

1,941

1,7

2,44

2,24

1,24

1,33

3,86

4

5

6

2

3

8

7

1

Total coefficients of total costs of all factors, taking into account the reduction of one-time costs to current ones through the application of En = 0.1 / rank

2,12

2,39

2,175

2,53

1,34

1,41

1,93

2,22

5

2

4

1

8

7

6

3