\Problem name: samp1.lp

Minimize
 Z: 3 X1 + 7 X2 - X3 + X4
Subject To
 R1: 2 X1 - X2 + X3 - X4 >= 1
 R2: X1 - X2 - 6 X3 + 4 X4 >= 8
 R3: 5 X1 + 3 X2 + X4 >= 5
Bounds
 0 <= X1 <= 4
 2 <= X2 <= 5
 0 <= X3 <= 1
 3 <= X4 <= 8
Binaries
 X3 
Generals
 X2 
End