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FAQ

3

⇐ 12



s14 = c14 - c'14 = c14 (α1 + β4) = 80 50 = 30,

s22 = c22 - c'22 = c22 (α2 + β2) = 90 (10 + 50) = 30,

s23 = c23 - c'23 = c23 (α2 + β3) = 40 (10 + 15) = 15,

s31 = c31 - c'31 = c31 (α3 + β1) = 50 ( 40 + 70) = 20,

s33 = c33 - c'33 = c33 (α3 + β2) = 90 ( 40 + 15) = 115,

s34 = c34 - c'34 = c34 (α3 + β4) = 11 ( 40 + 50) = 1.

3 . , , 3, .

 

: 1 1, 140. 2, 30.; 2 1, 60. 3, 50.; 3 1, 100., 4 2, 120.

F. = 70 140 + 50 60 + 15 100 + 80 30 + 60 120 + 10 50 = 24400 (..),

(F.= 25650 ..) 1250 ..

 

2

. 1 22., 2 13., 3 10. , . 1 20., 2 - 15., 3 - 10. . 4 .

1. . e - 4 :

4

       
   


1 2 3
1      
2    
3    
       

 

2. . , 4, :

 

 

α1 + β1 = 4,

α1 + β2 = 3,

α2 + β2 = 5.

α3 + β3 = 2.

6 . 1. . , 4 (1;3), (2;3), (3;1), (3;2) . (, (2;3)) . 4

 

4¢

 
 


1 2 3
1      
2      
3    
       

 

, 4¢

 

α1 + β1 = 4,

α1 + β2 = 3,

α2 + β2 = 5,

α2 + β3 = 3,

α3 + β3 = 2

6-

α1 = 0, β1 = 4,

α2 = 2, β2 = 3,

α3 = 5, β3 = 1,

, α1= 0, 4' :

s13 = c13 c'13 = c13 (α1 + β3) = 1 1 = 0,

s21 = c21 c'21 = c21 (α2 + β1) = 2 6 = 4,

s31 = c31 c'31 = c31 (α3 + β1) = 6 5 = 1,

s32 = c32 c'32 = c32 (α3 + β2) = 4 4 = 0,

, , (2; 1):

5.

:

α1 + β1 = 4,

α1 + β2 = 3,

α2 + β1 = 2,

α2 + β3 = 3,

α3 + β3 = 2;

α1 = 0, β1 = 4,

α2 = 2, β2 = 3,

α3 = 3, β3 = 5.

5

       
   


1 2 3
1      
2      
3    
       

 

s13 = c13 - c'13 = c13 (α1 + β3) = 1 5 = 4,

s21 = c21 - c'21 = c21 (α2 + β2) = 5 1 = 4,

s31 = c31 - c'31 = c31 (α3 + β1) = 6 1 = 5,

s32 = c32 - c'32 = c32 (α3 + β2) = 4 0 = 4,

, 5, , , - , , .

:

F.= = 47 + 315 + 213 + 210 = 129 (..),

1 7. 1 13. 2; 2 15. 1, 3 10. 3. F.= = 420 + 32 + 513 + 210 = 171 (..) 42 ..

 

3

, 1 25 ., 2 45 . 3 20 . 1 2. 1 40 . , 2 30 . 6 -. .

6

   
1 2
1      
2      
3      
 

     

(), 1 2. . () ( 6¢).

, () - . - , ,

6¢

 
1 2 3
 
 
-
 
1

  

-
2

    
 
-
-
2

        
 
3

        
       

 

- , , . - , , . , , . 6¢ ( ) (1;1). 1 . (3;2). 3, 6¢. 6¢, 4. , 2 1 15 . . 6¢ 8 2 2. 2 10 . , 2 ( (3;1) 2 30 . ). 6¢ , , (2;3) 3 2 20 . , 3. , .

. , 1, .

, 6¢, .

a1 + b1 = 1,

a2 + b1 = 4,

a2 + b2 = 8,

a2 + b3 = 0,

a3 + b2 = 3;

a1 = 0, b1 = 1,

a2 = 3, b2 = 5,

a3 = 2, b3 = 3.

S12 = 12 - ¢12 = 12 -(a1 + b2) = 2 - 5 = - 3,

S13 = 13 - ¢13 = 13 -(a1 + b3) = 0 + 3 = 3,

S31 = 31 - ¢31 = 31 -(a3 + b1) = 5 + 1 = 6,

S33 = 33 - ¢33 = 33 -(a3 + b3) = 0 + 5 = 5.

(1,2):

.

7.

7

       
   
 
 
 


1 2 3

-
 
 
-
1

        

-
 
-
2
       
3        
       

 

, .

a1 + b1 = 1,

a1 + b2 = 2,

a2 + b1 = 4,

a2 + b3 = 0,

a3 + b2 = 3;

a1 = 0, b1 = 1,

a2 = 3, b2 = 2,

a3 = 1, b3 = 3.

S13 = 13 - ¢13 = 13 -(a1 + b3) = 0 + 3 = 3,

S22 = 22 - ¢22 = 22 -(a2 + b2) = 8 - 5 = 3,

S31 = 31 - ¢31 = 31 -(a3 + b1) = 5 - 2 = 3,

S33 = 33 - ¢33 = 33 -(a3 + b3) = 0 + 2 = 2.

2 3 , 20 . 2 ( 2 3 ).

: 1, 2, 3 1 2 , 1 15 . 1 25 . 2. 2 10 . 1

20 . 3. 1 3 , 2 20 .

 

4

, 1 2 42 . 74 . , . 1 91 . , 2 - 22 ., 3 39 . 8. .

8

 
1 2 3
1        
2        
       

 

-, 1 2 , 1, 2, 3. () 3 ( 8¢).

. , , ( ) . .

8¢

       
   
-
 
 


1 2 3

-
 
1

        
 
 
-
 
-
2

        
3        
       

 

, 8¢, , .

a1 + b1 = 14,

a1 + b3 = 11,

a2 + b1 = 17,

a3 + b1 = 0,

a3 + b2 = 0;

a1 = 0, b1 = 14,

a2 = 3, b2 = 14,

a3 = -14, b3 = 11.

 

S12 = 12 - ¢12 = 12 -(a1 + b2) = 15 - 14 = 1,

S22 = 22 - ¢22 = 22 -(a2 + b2) = 22 - 17 = 5,

S23 = 23 - ¢23 = 23 -(a2 + b3) = 21 - 14 = 7,

S33 = 33 - ¢33 = 33 -(a3 + b3) = 0 + 3 = 3.

3 1 2 , 1 14 . , 2 22 . .

 

: 1 2 1, 2, 3 , 1 2 1 3 . 1 74 . 2. 2 , 3 .

 

⇐ 12


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