consider the following equation,
max r = 4x + y + 6z
2x + y + 2z <= 10
x + 2y + z <= 9
x + 2z <= 6
x, y, z >= 0
The tableau corresponds with a step of the SIMPLEX methodapplied to the previous problem
Basic | x | y | z | s1 | s2 | s3 | bi |
s1 | 1 | 1 | 0 | 1 | 0 | -1 | 4 |
s2 | 1 / 2 | 2 | 0 | 0 | 1 | -1 / 2 | 6 |
z | 1 / 2 | 0 | 1 | 0 | 0 | 1 / 2 | 3 |
what is the value of x, y, z and the objective function.Identify the entering and the leaving variables. Justify yourresponse with the calculations performed (you can extend theprevious tableau to perform the required calculations)