4.2
ֳ , 90 ., 110 . 150 . . , , .
-, :
1 | 2 | 3 | 4 | 5 | 6 | |||
4 | 1/2 | |||||||
2 | 1 | 1/2 | 1 | |||||
1 | 1/2 | |||||||
Fj cj ³ 0 | 20 600 |
: , ?
1. Գ 2 3 100 80 , , 5000 . ? , ?
2. Գ , 25 . ?
3. ³ . 1, 2 3 4, 3 1 . 120 . , .
4. 100 . . , , , .
. - : * = (180; 40; 0; 100; 0; 0), max F = 20 600, Y * = (0; 10; 70). 180 . 40 . . . 20 600 . .
1. , . D b 1 = 0, D b 2 = 100, D b 3 = 80, :
.
( j ³ 0), : Y * = (0; 10; 70). :
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max D Z = D b 1 y 1 + D b 2 y 2 + D b 3 y 3 =
= 100 ∙ 10 + 80 ∙ 70 = 6600 .
2 3 (6600 > 5000), , . 290 . 10 . . 50 , 20 600 + (6600 5000) = 22 200 . .
2. D c 2 (25 .) -, 2 . Fj cj :
F 3 c 3 = 10 1D c 2 = 10 + 25 = 35;
F 5 c 5 = 10 + 1/2D c 2 = 10 12,5 = 2,5;
F 6 c 6 = 70 1D c 2 = 70 + 25 = 95.
Zj Cj ³ 0, , . F 5 c 5 , , , , .
-:
1 | 2 | 3 | 4 | 5 | 6 | |||
4 | 1/2 | |||||||
2 | 1 | 1/2 | 1 | |||||
1 | 1/2 | |||||||
Fj cj ³ 0 | 19 600 | 2,5 | ||||||
4 | 1 | |||||||
5 | 2 | 2 | ||||||
1 | ||||||||
Fj cj ³ 0 | 19 800 |
, 25 . . 220 .: 1 2 . 19 800 . .
3. 7. :
7 : . : 4 0 + 3 10 + 1 70 = 100, 120. , , , , , . 7.
7 -:
-, , .
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q | ||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | ||||
4 | 1/2 | 5/2 | ||||||||
2 | 1 | 1/2 | 1 | 1/2 | ||||||
1 | 1/2 | 1/2 | ||||||||
Fj cj ³ 0 | 20 600 | 20 | ||||||||
7 | 6/5 | 2/5 | 1/5 | |||||||
2 | 8/5 | 1/5 | 3/5 | 1 | ||||||
1 | 12/5 | 1/5 | 2/5 | |||||||
Fj cj ³ 0 | 21 400 |
, * = (160; 20; 0; 0; 0; 0; 40), max Z = 21 400. , . 40 ., 160 20 . , 21 400 . .
4. , :
) . , ;
) , - .
1 < 100. , 180 . - , -. :
1 + 7 = 100.
1 , . . -, , 1 :
1 1 + 0 2 + 3 3 + 0 4 1/2 5 + 2 6 = 180.
1:
1 = 180 3 3 + 1/2 5 2 6.
ϳ , :
180 3 3 + 1/2 5 2 6 + 7 = 100
3 3 + 1/2 5 2 6 + 7 = 80.
-. - .
1 | 2 | 3 | 4 | 5 | 6 | 7 | |||
4 | 1/2 | ||||||||
2 | 1 | 1/2 | 1 | ||||||
1 | 1/2 | ||||||||
7 | 80 | 3 | 1/2 | 2 | |||||
Fj cj ³ 0 | 20 600 | ||||||||
4 | 2 | ||||||||
2 | 200/3 | 1/3 | 1/3 | 1/3 | |||||
1 | |||||||||
3 | 80/3 | 1/6 | 2/3 | 1/3 | |||||
Fj cj ³ 0 | 61 000/3 | 35/3 | 190/3 | 10/3 |
: * = (100; 200/3; 80/3; 20; 0;0),
max Z = 61 000/3 20 333.
. , , . 100 . , 200/3 . 80/3 . . ( 20 333 . ).
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