Question

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)

Answer 1