تصویر:Linear programming 2 constraint example.png

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Linear_programming_2_constraint_example.png (6KB, MIME type: image/png)

Created with Scilab. Released to public domain.

// draw constraints for a linear programming example
x=[0:.2:12];
y1=10-x;
y2=6-x/2;
// draw the two constraints
plot(x,y1);
plot(x,y2);
xstring(-1,7,'x+y=10');
u=gce();
u.data=[5, 5.3];
xstring(-1,0,'x+2y=12');
v=gce();
v.data=[10, .1];
// draw shaded polygon of the solution space
xa=[0 0 8 10 0]';
ya=[0 6 2 0 0]';
fa=[1 1 1 1 1];
xfpolys(xa,ya,3);
// draw objective function for return of 40 
bb=40
y3=-4/9*x+bb/9;
plot(x,y3,'r');
xstring(-1,0,'4x+9y=40');
g1=gce();
g1.data=[4.1,1.6];
// draw objective function for return of 50
bb=50
y3=-4/9*x+bb/9;
plot(x,y3,'r');
xstring(-1,0,'4x+9y=50');
g2=gce(); 
g2.data=[4,2.9];
// draw objective function for return of 54
bb=54
y3=-4/9*x+bb/9;
plot(x,y3,'r');
xstring(-1,0,'4x+9y=54');
g3=gce();
g3.data=[3.9,4.5];
// limit axes bounds
gh=get("current_axes");
gh.data_bounds=[0 0; 12 10];



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