Only by watering and playing with water can a tree bear a good load.
Maximum 25x3+15y3
0 & lt= x 1+x2+x3 & lt; = 30
0 & lt= y 1+y2+y3 & lt; = 20
20x 1+ 10y 1 & gt; = 30 x2+20 y2 & gt; = 25x 3+ 15y 3 & gt; = 0
matlab:
f =[0 0-25 0 0- 15];
a =[ 1 1 1 0 0; - 1 - 1 - 1 0 0 0; 0 0 0 1 1 1; 0 0 0 - 1 - 1 - 1;
-20 30 0 - 10 20 0; 0 -30 25 0 -20 15; 0 0 -25 0 0 - 15; ];
b =[30; 0; 20; 0; 0; 0; 0];
Lb = zero (6,1);
& gt& gt[x fval] = linprog(f,A,b,[],[],lb)
Optimization terminated.
x =
17.5000
0.0000
12.5000
0.0000
17.5000
2.5000
fval =
-350.0000