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将下列线性规划问题化为标准形式: max z=-x1+4x2, s.t.3x1-x2≥-6, x1+2x2≤4, x2≥-3.
将下列线性规划问题化为标准形式:
max z=-x1+4x2,
s.t.3x1-x2≥-6,
x1+2x2≤4,
x2≥-3.
![](https://static.youtibao.com/asksite/comm/h5/images/solist_ts.png)
将下列线性规划问题化为标准形式:
max z=-x1+4x2,
s.t.3x1-x2≥-6,
x1+2x2≤4,
x2≥-3.
(1)max z=x1+2x2,
s.t.2x1+x2≤8,
-x1+x2≤4,
x1-x2≤0,
0≤x1≤3,x2≥0;
(2)min f=-3x1-11x2-9x3+x4+29x5,
s.t.x2+x3+x4-2x5≤4,
x1-x2+x3+2x4+x5≥0,
x1+x2+x3-3x5≤1,
x1无符号限制,xi≥0(j=2,3,4,5);
(3)max x=x1+6x2+4x3,
s.t.-x1+2x2+2x3≤13,
4x1-4x2+x3≤20,
x1+2x2+x3≤17,
x1≥1,x2≥2,x3≥3.
(1)max z=2x1+x2+3x3+x4,
s.t.x1+x2+x3+x4≤5,
2x1-x2+3x3=-4,
x1-x3+x4≥1,
x1,x13≥0,x2x4无符号限制;
(2)min f=3x1+2x2-3x3+4x4,
s.t. x1-2x2+3x3+4x4≤3,
x2+3x3+4x4≥-5,
2x1-3x2-7x3-4x4=2,
x1≥0,x4≤0,x2,x3无符号限制.