设变量x,y满足约束条件y>=0.x-y+1>=0.x+y-3

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/24 03:01:53
设变量x,y满足约束条件y>=0.x-y+1>=0.x+y-3

设变量x,y满足约束条件y>=0.x-y+1>=0.x+y-3
设变量x,y满足约束条件y>=0.x-y+1>=0.x+y-3<=0,求目标函数z=2x+y的最大值

设变量x,y满足约束条件y>=0.x-y+1>=0.x+y-3
画图,在(3,0)点处取最大值,代入z=2x+y得6

可以用lingo求解,代码如下:
max=2*x+y;
y>=0;
x-y+1>=0;
x+y-3<=0;
结果为:
Global optimal solution found.
Objective value: 6.000000
Infeasibilities: ...

全部展开

可以用lingo求解,代码如下:
max=2*x+y;
y>=0;
x-y+1>=0;
x+y-3<=0;
结果为:
Global optimal solution found.
Objective value: 6.000000
Infeasibilities: 0.000000
Total solver iterations: 1
Variable Value Reduced Cost
X 3.000000 0.000000
Y 0.000000 1.000000
Row Slack or Surplus Dual Price
1 6.000000 1.000000
2 0.000000 0.000000
3 4.000000 0.000000
4 0.000000 2.000000

收起