Add slack variables x4 x5 and x6 and perform iterations of

Assignment Help Engineering Mathematics
Reference no: EM13590121

Consider the following LP:

Maximize z=4x1+5x2+3x3

Subject to:

x1+x2+4x3≤6

x1+2x2+x3≤7

x1+4x2+2x3≤12

a) Add slack variables x4, x5 and x6, and perform iterations of the simplex algorithm. Show each completed iteration using tableau. The final (filled) tableau of the primal must be provided.

Basis

z

x1

x2

x3

x4

x5

x6

RHS

z

1

0

0

 

 

 

0

 

x1

0

1

0

 

 

 

0

 

x2

0

0

1

 

 

 

0

 

x6

0

0

0

 

 

 

1

 

b) Write the dual of this LP.

Reference no: EM13590121

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