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input.txt
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input.txt
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***
Hello!!
==============================================================================
NOTE:- ALL THE VARIBALES MUST BE IN THE FORM OF X1, X2, X3......XN(Lower Case)
==============================================================================
Enter the Input in the following format:
==============================================================================
Eg:-
Maximize/Minimize:
z = 5*x1 + 4*x2 #Objective Function
6*x1 + 4*x2 <= 24 #constraint1
......
......
etc
==============================================================================
==============================================================================
EXAMPLES:-
1):-
Maximize:
z= x1+x2+3*x3+2*x4
x1 + 2*x2 -3*x3+5*x4<=4
5*x1 -2*x2 +6*x3 <=8
2*x1 + 3*x2 -2 * x3 +3*x4<=3
-x1+x3+2*x4<=0
Optimal solution reached = 51/11
Optimal values:
x1 = 0.909
x2 = 1.0
x3 = 0.909
==============================================================================
==============================================================================
2):-
Maximize:
z= 5*x1+4*x2
6*x1+4*x2<=24
x1+2*x2<=6
-x1+x2<=1
x2<=2
Optimal solution reached = 21
Optimal values:
x1 = 3.0
x2 = 1.5
==============================================================================
==============================================================================
3)
Maximize:
********** UNBOUNDED**********
z= 2*x1+x2
x1-x2<=10
2*x1<=40
==============================================================================
==============================================================================
4)
Maximize:
******** UNBOUNDED***********
z= 20*x1+10*x2+x3
3*x1-3*x2+5*x3<=50
x1+3*x3<=10
x1-x2+4*x3<=20
==============================================================================
==============================================================================
5)
Minimize:
z = -x1 +2*x2+x3-x4-4*x5+2*x6
x1+x2+x3+x4+x5+x6<=6
2*x1-x2-2*x3+x4<=4
x3+x4+2*x5+x6<=4
Optimal solution reached = -10
Optimal values:
x1 = 2.0
x5 = 2.0
==============================================================================
==============================================================================
6)
Minimize:
z = 5*x1 -4*x2+6*x3-8*x4
x1+2*x2+2*x3+4*x4<=40
2*x1-x2+x3+2*x4<=8
4*x1-2*x2+x3-x4<=10
Optimal solution reached = -80
Optimal values:
x2 = 6.0
x4 = 7.0
==============================================================================
==============================================================================
7)
Mininimize:
z = -x1-2*x2 + x3
x1 + x2 + x3 <=4
-x1 + 2*x2 - 2*x3<=6
2*x1 + x2 <= 5
Optimal solution reached = -22/3
Optimal values:
x1 = 0.667
x2 = 3.333
==============================================================================
==============================================================================
PLEASE ENTER THE PROBLEM AFTER "***" SYMBOL BELOW
==============================================================================
***