Model.txt

LP model:


A=[1 1 1 1
40*l(5) 10 12 25-5*l(3)
-0.8 0.2 0.2 0.2
0 0 0 1
2 3 2 2
-1 0 0 0
0 -1 0 0
0 0 -1 0
0 0 0 -1]

b=[1000+l(1)
 12000+l(2)
 0
 (0.3+l(4)*0.05)*(1000+l(1))
2*(1000+l(1))
 0
 0
 0
 0]

Ax<=b are constraints

c=-[1600*l(5) 5*50 6*80 0.5*1000]
minimize cx
--------------------------------------------
BCOP:


cost function: (l(1)-1000)*200+(l(2)-12000)*20+5000*l(3)+10000*l(4)+(l(5)-0.25)*1000

Constraints:


cons(1)=x(1)+x(2)+x(3)+x(4)-1000-l(1);
cons(2)=40*(l(5))*x(1)+10*x(2)+12*x(3)+(25-5*l(3))*x(4)-12000-l(2);
cons(3)=0.2*(x(1)+x(2)+x(3)+x(4))-x(1);
cons(4)=x(4)-(0.3+0.05*l(4))*(1000+l(1));
cons(5)=(x(2)/(1000+l(1)-x(1)-x(2)-x(3)-x(4)))-2;
cons(6)=-x(1);
cons(7)=-x(2);
cons(8)=-x(3);
cons(9)=-x(4);
cons(10)=-l(1);
cons(11)=l(1)-1000;
cons(12)=-l(2);
cons(13)=l(2)-3000;
cons(14)=-l(3);
cons(15)=-l(4);
cons(16)=l(3)-1;
cons(17)=l(4)-1;
cons(18)=-l(5)+0.25;
cons(19)=l(5)-0.7;

Boundaries:

    [x(1) x(2) x(3) x(4) l(1) l(2) l(3) l(4) l(5)]
min=[0 0 0 0 0 0 0 0 0.25];
max=[10000 10000 10000 10000 1000 3000 1 1 0.7];


l=[additional acres for 200$ (up to 1000 addition is possible),
additional labor hour for 20$/h (up to 3000 addition is possible),
renting a tomato packing machin for 5000$,
a new license for 10000$,
less yield for cattle linear from 0.25 to 0.7 for 0 to 10000$]