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  3. consider the following equation, max r = 4x + y +

consider the following equation, max r = 4x + y + 6z 2x + y + 2z...

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Question

Advance 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 methodapplied to the previous problem

Basic

x

y

z

s1s2s3bi
s1

1

1

0

1

0

-1

4

s21 / 2

2

0

0

1

-1 / 2

6

z1 / 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)

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