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Solving this LP with Dual simplex method

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0

$begingroup$

I'm trying to solve this LP using dual simplex method.

Max $z=-x_1-3x_2-x_3$

subject to

$x_1+x_2-x_3geq6$

$x_1-2x_2+4x_3geq9$

$x_1,x_2,x_3geq0$

I tried solving it on my own but got optimal $z=-frac365$ I felt like that answer didn't make sense since it's a negative number. Can anybody confirm my answer or tell me what I'm doing wrong? Thank you

simplex operations-research

share|cite|improve this question

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Note that the dual and primal problem have the same objective value. Also, since all of your variables in the primal are non-negative, if a solution exists, it must be negative or zero as all of the objective coefficients are negative.
  $endgroup$
  – Daryl
  Mar 10 at 21:16
  
  

  
  
  
  

add a comment | 

0

$begingroup$

I'm trying to solve this LP using dual simplex method.

Max $z=-x_1-3x_2-x_3$

subject to

$x_1+x_2-x_3geq6$

$x_1-2x_2+4x_3geq9$

$x_1,x_2,x_3geq0$

I tried solving it on my own but got optimal $z=-frac365$ I felt like that answer didn't make sense since it's a negative number. Can anybody confirm my answer or tell me what I'm doing wrong? Thank you

simplex operations-research

share|cite|improve this question

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  Note that the dual and primal problem have the same objective value. Also, since all of your variables in the primal are non-negative, if a solution exists, it must be negative or zero as all of the objective coefficients are negative.
  $endgroup$
  – Daryl
  Mar 10 at 21:16
  
  

  
  
  
  

add a comment | 

$begingroup$

I'm trying to solve this LP using dual simplex method.

Max $z=-x_1-3x_2-x_3$

subject to

$x_1+x_2-x_3geq6$

$x_1-2x_2+4x_3geq9$

$x_1,x_2,x_3geq0$

I tried solving it on my own but got optimal $z=-frac365$ I felt like that answer didn't make sense since it's a negative number. Can anybody confirm my answer or tell me what I'm doing wrong? Thank you

simplex operations-research

share|cite|improve this question

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11

New contributor

Olyvea Pancerella is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked Mar 10 at 19:34

Olyvea PancerellaOlyvea Pancerella

11