Linear programming multiplication step at the end for nothing?
$begingroup$
I'm new to linear programming and I found a basic example on simplex. It's about producing tablets and phones.
the problem
The equations are the following:
$$1P-7x1-5x2+0s1+0s2=0$$
$$0P+4x1+3x2+1s1+0s2=240$$
$$0p+2x1+1x2+0s1+1s2=100$$
after making the equations and solving them they are saying to multiply the last row by 2 as final step.
penultimate tableau, where the blue numbers stand for the solution after the ERO operation that is indicated in red
final solution where they multiplied the last row with 2
As far as I can follow I don't see why this would be usefull.
linear-programming simplex
asked Jan 15 at 9:55
J. JolyJ. Joly
11
$endgroup$
add a comment |
$begingroup$
I'm new to linear programming and I found a basic example on simplex. It's about producing tablets and phones.
the problem
The equations are the following:
$$1P-7x1-5x2+0s1+0s2=0$$
$$0P+4x1+3x2+1s1+0s2=240$$
$$0p+2x1+1x2+0s1+1s2=100$$
after making the equations and solving them they are saying to multiply the last row by 2 as final step.
penultimate tableau, where the blue numbers stand for the solution after the ERO operation that is indicated in red
final solution where they multiplied the last row with 2
As far as I can follow I don't see why this would be usefull.
linear-programming simplex
asked Jan 15 at 9:55
J. JolyJ. Joly
11
$endgroup$
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06
add a comment |
$begingroup$
I'm new to linear programming and I found a basic example on simplex. It's about producing tablets and phones.
the problem
The equations are the following:
$$1P-7x1-5x2+0s1+0s2=0$$
$$0P+4x1+3x2+1s1+0s2=240$$
$$0p+2x1+1x2+0s1+1s2=100$$
after making the equations and solving them they are saying to multiply the last row by 2 as final step.
penultimate tableau, where the blue numbers stand for the solution after the ERO operation that is indicated in red
final solution where they multiplied the last row with 2
As far as I can follow I don't see why this would be usefull.
linear-programming simplex
asked Jan 15 at 9:55
J. JolyJ. Joly
11
$endgroup$
I'm new to linear programming and I found a basic example on simplex. It's about producing tablets and phones.
the problem
The equations are the following:
$$1P-7x1-5x2+0s1+0s2=0$$
$$0P+4x1+3x2+1s1+0s2=240$$
$$0p+2x1+1x2+0s1+1s2=100$$
after making the equations and solving them they are saying to multiply the last row by 2 as final step.
penultimate tableau, where the blue numbers stand for the solution after the ERO operation that is indicated in red
final solution where they multiplied the last row with 2
As far as I can follow I don't see why this would be usefull.
linear-programming simplex
linear-programming simplex
asked Jan 15 at 9:55
J. JolyJ. Joly
11
asked Jan 15 at 9:55
J. JolyJ. Joly
11
edited Jan 15 at 10:10
J. Joly
asked Jan 15 at 9:55
J. JolyJ. Joly
11
asked Jan 15 at 9:55
J. JolyJ. Joly
11
asked Jan 15 at 9:55
J. JolyJ. Joly
11
11
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06
add a comment |
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06
add a comment |
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3074254%2flinear-programming-multiplication-step-at-the-end-for-nothing%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
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3074254%2flinear-programming-multiplication-step-at-the-end-for-nothing%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Jan 15 at 10:02
$begingroup$
okay didn't know, i'll adapt my first picture to this formula notation
$endgroup$
– J. Joly
Jan 15 at 10:07
$begingroup$
I do not see why it is useful either.
$endgroup$
– LinAlg
Jan 15 at 14:42
$begingroup$
Could it be something with that you can not make a half tablet/smartphone?
$endgroup$
– J. Joly
Jan 15 at 15:06