Івченко І.Ю. Математичне програмування
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61
3x
1
+ 6x
2
– 2x
3
+ 3x
4
t
8
–x
1
+ x
2
+ x
3
– 2x
4
d
5
x
1
, x
2
, x
3
> = 0
15
. F = 3x
1
+ 4x
2
+ x
3
+ 2x
4
– x
5
o
min
x
1
+ 2 x
2
– 3x
3
+ x
4
– 5x
5
= 5
2x
1
+ 3x
2
–5x
3
+ 2x
4
–7x
5
t
8
3x
1
+ x
2
– 2x
3
+ 6x
4
+ 2x
5
d
6
x
1
, x
2
, x
3
, x
4
, x
5
> = 0
16
. F = 10x
1
+ 2x
2
+ 5x
3
+ 3x
4
o
max
x
1
– 4x
2
– 5x
3
+ x
4
d
2
2x
1
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2
+ 7x
3
+ x
4
t
8
3x
1
+ x
2
+ 44x
3
– 2x
4
t
4
x
1
, x
2
, x
3
, x
4
> = 0
17
. F– = 5x
1
+ 2x
2
+ 8x
3
+ 3x
4
o
max
2x
1
+ x
2
+ 5x
3
– 2x
4
= 5
x
1
– 2x
2
+ 3x
3
+ 3x
4
d
6
x
1
+ x
2
+ 2x
3
+ 7x
4
d
7
x
1
, x
2
, x
3
, x
4
> = 0
18
. F = 3x
1
+ 2x
2
– x
3
+ 4x
4
o
max
2x
1
– x
2
+ 3x
3
– x
4
t
7
–3x
1
+ x
2
– 2x
3
+ 3x
4
= 8
x
1
, x
2
, x
3
, x
4
> = 0
19
. F = 4x
1 –
2x
2 –
8x
3
+ 3x
4
o
min
x
1
+ x
2
– 5x
3
+ 4x
4
t
7
8x
1
+ x
2
+ 2x
3
+ 7x
4
d
9
x
1
, x
2
, x
3
, x
4
,> = 0
20
. F = 2x
2
+ 8x
3
+ 8x
4
o
max
2x
1
– 2x
2
+ 3x
3
= 3
3x
1
+ 6x
2
– 2x
3
d
4
–x
1
+ x
2
+ x
3
t
1
x
1
, x
2
> = 0
62
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