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?










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












$begingroup$


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



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



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



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



$x_3$ 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

8,3622824




8,3622824










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






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3069801%2fbig-m-simplex-method-when-we-add-artificial-variables%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3069801%2fbig-m-simplex-method-when-we-add-artificial-variables%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Human spaceflight

Can not write log (Is /dev/pts mounted?) - openpty in Ubuntu-on-Windows?

張江高科駅