-2,1,-2
-1,1,1,=,4
-1,1,-1,<=,6
signs
1,<
2,>
3,*
end




			Starting Simplex Algorithm
			__________________________



No. of variables =4
No. of slack variables =1
No. of artificial variables =1


Phase 1 Starting...
-----------------

Table No: 1
________________

        Val  |      -x1       x2      x3+      x3-       s1       a1
__________________________________________________________________
          4  |        1        1        1       -1        0        1
          6  |        1        1       -1        1        1        0
__________________________________________________________________
         -4  |       -1       -1       -1        1        0        0

Basic Vars =      6     5



Table No: 2
________________

        Val  |      -x1       x2      x3+      x3-       s1       a1
__________________________________________________________________
          4  |        1        1        1       -1        0        1
          2  |        0        0       -2        2        1       -1
__________________________________________________________________
          0  |        0        0        0        0        0        1

Basic Vars =      1     5



Phase 2 Starting...
---------------------

Table No: 3
________________

        Val  |      -x1       x2      x3+      x3-       s1
_________________________________________________________
          4  |        1        1        1       -1        0
          2  |        0        0       -2        2        1
_________________________________________________________
          8  |        0        1        4       -4        0

Basic Vars =      1     5



Table No: 4
________________

        Val  |      -x1       x2      x3+      x3-       s1
_________________________________________________________
          5  |        1        1        0        0      1/2
          1  |        0        0       -1        1      1/2
_________________________________________________________
         12  |        0        1        0        0        2

Basic Vars =      1     4


________________________________
________FINAL SOLUTION__________
________________________________
Optimum Solution is  : 12


Variable 1 : -5
Variable 2 : 0
Variable 3 : -1