Big M Simplex Method when we add artificial variables












0












$begingroup$


$$P(x) = 2x_1 + 4x_2 + 4x_3 - 3x_4 $$



$$x_1 + x_2 + x_3 = 4;$$



$$ x_1 + 4x_2 +x_4 = 8; $$



$$x_1 geq 0 $$ $$ x_2 geq 0$$ $$ x_3 geq 0 $$ $$x_4 geq 0$$



$x_3$ and $x_4$ already base variables, do we need to add artificial variables?










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$endgroup$












  • $begingroup$
    hey @Medi , please edit your equations as i did now.
    $endgroup$
    – Ahmad Bazzi
    Jan 11 at 13:03
















0












$begingroup$


$$P(x) = 2x_1 + 4x_2 + 4x_3 - 3x_4 $$



$$x_1 + x_2 + x_3 = 4;$$



$$ x_1 + 4x_2 +x_4 = 8; $$



$$x_1 geq 0 $$ $$ x_2 geq 0$$ $$ x_3 geq 0 $$ $$x_4 geq 0$$



$x_3$ and $x_4$ already base variables, do we need to add artificial variables?










share|cite|improve this question











$endgroup$












  • $begingroup$
    hey @Medi , please edit your equations as i did now.
    $endgroup$
    – Ahmad Bazzi
    Jan 11 at 13:03














0












0








0





$begingroup$


$$P(x) = 2x_1 + 4x_2 + 4x_3 - 3x_4 $$



$$x_1 + x_2 + x_3 = 4;$$



$$ x_1 + 4x_2 +x_4 = 8; $$



$$x_1 geq 0 $$ $$ x_2 geq 0$$ $$ x_3 geq 0 $$ $$x_4 geq 0$$



$x_3$ and $x_4$ already base variables, do we need to add artificial variables?










share|cite|improve this question











$endgroup$




$$P(x) = 2x_1 + 4x_2 + 4x_3 - 3x_4 $$



$$x_1 + x_2 + x_3 = 4;$$



$$ x_1 + 4x_2 +x_4 = 8; $$



$$x_1 geq 0 $$ $$ x_2 geq 0$$ $$ x_3 geq 0 $$ $$x_4 geq 0$$



$x_3$ and $x_4$ already base variables, do we need to add artificial variables?







linear-algebra






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 11 at 13:02









Ahmad Bazzi

8,0812824




8,0812824










asked Jan 11 at 12:57









MediMedi

1




1












  • $begingroup$
    hey @Medi , please edit your equations as i did now.
    $endgroup$
    – Ahmad Bazzi
    Jan 11 at 13:03


















  • $begingroup$
    hey @Medi , please edit your equations as i did now.
    $endgroup$
    – Ahmad Bazzi
    Jan 11 at 13:03
















$begingroup$
hey @Medi , please edit your equations as i did now.
$endgroup$
– Ahmad Bazzi
Jan 11 at 13:03




$begingroup$
hey @Medi , please edit your equations as i did now.
$endgroup$
– Ahmad Bazzi
Jan 11 at 13:03










0






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