Hi guys, I am new in GLPK use and I would like to ask you about some solution that I get: Basically I define an LP problem where the variable x10, x11 and x12 take values bw. 0 and 1 and the sum of x10+x11+x12 = 1, according to that and for 18 structural variables I get the following answer:
> ./a.out
0: obj = 0.000000000e+00 infeas = 6.000e+00 (0)
* 8: obj = 1.300000000e+03 infeas = 0.000e+00 (0)
* 13: obj = 1.600000000e+03 infeas = 8.171e-16 (0)
OPTIMAL SOLUTION FOUND
z = 1600
x10 = 0; x11 = 0; x12 = 1
x20 = 0; x21 = 0; x22 = 1
x30 = 0; x31 = 0; x32 = 1
x40 = 0; x41 = 0; x42 = 1
x50 = 1; x51 = 0; x52 = -8.17124e-16
x60 = 1; x61 = 0; x62 = 0
The value of z correspond to the right value, but how do I understand the value of x52??, is it a real "0" value and how is it related to the "infeas = 8.171e-16" value?, does it mean that my answer is wrong (since I should have only expect x50 = 1; x51 = 0; x52 = 0)?
On advance thanks for the help you can give me!