1 .., | 1 .., | 1 .., | |
0,40 | |||
0,50 |
, , , 100 , 60 300 .
.
, .
1. . : X1 ( ..), X2 ( ..), X3 ( ..).
2. ( , ). .
2.1. , 100 .
2.2. , 300 .
2.3. , 60 .
X 1, X 2, X 3 ( ) 2.1 2.3 , ( ) .
3. .
3.1. X 1 .. , X 2 .. X 3 .. 100 :
1´X1 +1´X2 +1´X3 £ 100 (3.1)
3.2. X 1 .. , X 2 . . X 3 . . 300 :
2´X1 + 2´X2 + 6´X3 £ 300 (3.2)
3.3. X 1 .. , X 2 .. X 3 .. 60 :
1´X1 + 0,4´X2 + 0,5´X3 £ 60 (3.3)
|
|
, , :
= 100X1 + 60X2 + 40X3
X, , :
X1 ³ 0, X2 ³ 0, X3 ³ 0
, , (3.1), (3.2), (3.3) :
= 100X1 + 60X2 + 40X3 max
X1 + X2 + X3 £ 100
2X1 + 2X2 + 6X3 £ 300
X1 + 0,4X2 + 0,5X3 £ 60
X1 ³ 0, X2 ³ 0, X3 ³ 0
:
X1* = 33,33 ..; X2* = 66,67 ..; X3* = 0;
* = 7333,3 ..
(33 330 . ) (66 670 . ). .
, (.. ) . , . , : 5000 . :
X3 ³ 5
, , . ( , , ).
, , , , . , .
() , ( , ). ( ). .
X3* = 0 (): , . , (X3* = = 0) , , , , : X3 ³ 5.
|
|
, ( , ).
X3* = 0, , , , .
. , () , ( ) , (, -).
, ( X1 X2, X3* = 0) X1 X2, .
( X3* = 0 )
=100X1 + 60X2 max
X1 + X2 £ 100
2X1 + 2X2 £ 300
X1 + 0,4X2 £ 60
X1 ³ 0, X2 ³ 0
, , X1 = X10, X2 = X20 , . . . . . , , .
( ). ( ). , ( ). , g1(x1,x2) g3(x1,x2), .3.4 .
Z = C1X1 + C2X2, . Z . C1 C2 , . , Zmax, . , X1 = X1* X2 = X2 * , Zmax. , .
X1 /100 + X2 /100 £ 1
X1 /150 + X2 /150 £ 1
X1 /60 + X2 /150 £ 1
X1 ³ 0, X2 ³ 0,
100X1 / + 60X2 / = 1
(1) = 100x60. (1)
X1 / 60 + X2 / 100 = 1
.3.5
, , .3.5 - . , : (1) ; (2) ; (3) . , , , , . , (1) (3).
|
|