Question

用MATLAB已知两个方程及一个限制条件求最小值

已知4199x+4599y+4605z=4062
x+y+z=1
1>x>y>z>0
求y的最小值

Answer 1

限制条件不够吧，没有最优解，
f=[0 1 0];
A=[-1 1 0;0 -1 1];
B=[0;0];
Aeq=[4199 4599 4605;1 1 1];
Beq=[4062 ;1];
lb=[0 0 0 ];
ub=[1 1 1];
[x,fval,flag]=linprog(f,A,B,Aeq,Beq,lb,ub)
Exiting: One or more of the residuals, duality gap, or total relative error
has grown 100000 times greater than its minimum value so far:
the primal appears to be infeasible (and the dual unbounded).
(The dual residual < TolFun=1.00e-08.)
x =
1.6692
0.3363
0.0000

fval =
0.3363

flag =
-2

flag=-2
代表
No feasible point was found.
没有可行的点被发现

追问

谢谢了