In: Advanced Math
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 method applied 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 your response with the calculations performed (you can extend the previous tableau to perform the required calculations)