14.1
Mathcad.
14.2
.
1 | 2 | 3 | ||
2+3 | +≤5 | +2≥4 | 2+≥5 | |
6+3 | 2+≥2 | 3−4≤12 | =2 | |
+2 | +≤6 | −≤3 | +≥4 | |
2+4 | +≤5 | +2≥4 | 2+≥5 | |
7+3 | 2+≥2 | 3−4≤12 | =3 | |
3+3 | +≤5 | +2≥4 | 2+≥5 | |
4+3 | +≤6 | +2≥4 | 2+≥5 | |
5+ | +≤7 | +2≥4 | =10 | |
6+2 | +≤8 | +2≥4 | =5 | |
5+3 | +≤7 | +2≥4 | 2+≥5 |
>0, >0.
14.3
, .
x1,x2,.,xn :
(14.1)
()
(14.2)
j,aij,bi - .
x1,x2,.,xn, , .
, . , ( ) , , . .
, , . n-. , .
, (), , . , .
.
14.4
. . 1 2 . ., 2 − 3 . . . :
|
|
.
:
1) 1 2 , 1 1-2≤1,
2) 2 2 .
: . 14.1.
14.1
1 | , | ||
1 | 2 | ||
14.1 :
: 21+2≤6,
: 1+22≤8.
: 1≥0, 2≥0.
:
Z=2x1+3x2 → max (14.3)
x1−x2≤1 (14.4)
2x1+x2≤6 (14.5)
x1 ≤2 (14.6)
x1+2x2≤8 (14.7)
x1≥0, x2≥0 (14.8)
. , , .
Mathcad ABCDEF (.14.1), .
. 1 2, . 1 2.
.14.1
(14.3): 1− z=6, 2 − z=9, 3 − (14.7) , 4 − (14.4), 5− (14.5) , 6 − (14.6).
, .
Mathcad :
, 1=1,333 2=3,333.
Z(x1,x2):=2x1+3x2
Z(1.33,3.33)=12.67 ../
.
− .
. , , .
(14.5) (14.7), .
6 7 / DC , () . :
1=2, 2=3.
()
Z(2,3)=13 ../
.
(14.7), , 8 12 / DC , () L. : 1=0, 2=6.
|
|
Z(0,6)=18 ../
.
(14.6) 1. 1,33 /.
(14.4) 4 2−1≥2, .. 2 1 , 2 /.
14.2
, / | ../ | ||
(14.5) | 0,33 | ||
(14.7) | 5,33 | ||
(14.6) | 0,66 | ||
(14.4) |
. 14.3 .
14.3
, ../ | ||
(14.5) | 0,33 | |
(14.7) | 1,33 | |
(14.6) | ||
(14.4) |
14.3 , (14.7), .. .
. .
, . , (14.5) (14.7), .. -5 -2. 2, 3 , 2 4.
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2 -2 -4 (14.5) , .. .
14.5
1. .
2. .
3. , .
4. .
5. , ,
.
6. .
7. .
8. , .
9. , .
10..
14.6
1. .
2. -?
3. ?
4. ?
5. ?
6. ?
7. ?
8. ?
9. ?
10. ?
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14.7
1... , .., Mathcad 2000, .- .: ,2000 .
2.Mathcad. Mathcad Plus 6.0. , Windows-95. .,,1997 .