Comparing several line functions for finding the minimum values!

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
0
down vote

favorite












i am trying to find a method or an equation for the following problem.



There are some line equastions.
$$y_i=a_i+bx_i $$
For example six such equtions (lines) How can be found the following context:



The value is pretermined. All y=a+bx equations and the xi and yi values are given. The min x should be found and should be as small as possible!



$$(x_1,y_1)+(x_2,y_2)+(x_3,y_3)+(x_4,y_4)+(x_5,y_5)+(x_6,y_6) = (min x, value)$$



Is it possible to solve such a problem and how?



Thank in advance!







share|cite|improve this question





















  • Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
    – Davide Morgante
    Jul 18 at 21:12










  • This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
    – Suzet
    Jul 18 at 23:01










  • If all of the $x$ and $y$ values are given, then what is there to do?
    – amd
    Jul 18 at 23:35










  • I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
    – Perilun
    Jul 19 at 7:21















up vote
0
down vote

favorite












i am trying to find a method or an equation for the following problem.



There are some line equastions.
$$y_i=a_i+bx_i $$
For example six such equtions (lines) How can be found the following context:



The value is pretermined. All y=a+bx equations and the xi and yi values are given. The min x should be found and should be as small as possible!



$$(x_1,y_1)+(x_2,y_2)+(x_3,y_3)+(x_4,y_4)+(x_5,y_5)+(x_6,y_6) = (min x, value)$$



Is it possible to solve such a problem and how?



Thank in advance!







share|cite|improve this question





















  • Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
    – Davide Morgante
    Jul 18 at 21:12










  • This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
    – Suzet
    Jul 18 at 23:01










  • If all of the $x$ and $y$ values are given, then what is there to do?
    – amd
    Jul 18 at 23:35










  • I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
    – Perilun
    Jul 19 at 7:21













up vote
0
down vote

favorite









up vote
0
down vote

favorite











i am trying to find a method or an equation for the following problem.



There are some line equastions.
$$y_i=a_i+bx_i $$
For example six such equtions (lines) How can be found the following context:



The value is pretermined. All y=a+bx equations and the xi and yi values are given. The min x should be found and should be as small as possible!



$$(x_1,y_1)+(x_2,y_2)+(x_3,y_3)+(x_4,y_4)+(x_5,y_5)+(x_6,y_6) = (min x, value)$$



Is it possible to solve such a problem and how?



Thank in advance!







share|cite|improve this question













i am trying to find a method or an equation for the following problem.



There are some line equastions.
$$y_i=a_i+bx_i $$
For example six such equtions (lines) How can be found the following context:



The value is pretermined. All y=a+bx equations and the xi and yi values are given. The min x should be found and should be as small as possible!



$$(x_1,y_1)+(x_2,y_2)+(x_3,y_3)+(x_4,y_4)+(x_5,y_5)+(x_6,y_6) = (min x, value)$$



Is it possible to solve such a problem and how?



Thank in advance!









share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 18 at 21:25
























asked Jul 18 at 21:06









Perilun

11




11











  • Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
    – Davide Morgante
    Jul 18 at 21:12










  • This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
    – Suzet
    Jul 18 at 23:01










  • If all of the $x$ and $y$ values are given, then what is there to do?
    – amd
    Jul 18 at 23:35










  • I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
    – Perilun
    Jul 19 at 7:21

















  • Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
    – Davide Morgante
    Jul 18 at 21:12










  • This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
    – Suzet
    Jul 18 at 23:01










  • If all of the $x$ and $y$ values are given, then what is there to do?
    – amd
    Jul 18 at 23:35










  • I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
    – Perilun
    Jul 19 at 7:21
















Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
– Davide Morgante
Jul 18 at 21:12




Welcome to MSE! Before posting questions, check out the guide on MathJax to write better equations in your questions: math.meta.stackexchange.com/questions/5020/…
– Davide Morgante
Jul 18 at 21:12












This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
– Suzet
Jul 18 at 23:01




This does not really make sense without restrictions. One can choose each $x_i$ to be arbitrary small (among negative numbers) and consider the corresponding $y_i=a_i+bx_i$. If you require the $x_i$ to be non negative, then simply take all of them equal $0$.
– Suzet
Jul 18 at 23:01












If all of the $x$ and $y$ values are given, then what is there to do?
– amd
Jul 18 at 23:35




If all of the $x$ and $y$ values are given, then what is there to do?
– amd
Jul 18 at 23:35












I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
– Perilun
Jul 19 at 7:21





I can not take them all 0, because the value is pretermined, for example 10. The values all not negative. The x and y values are given as the equation y=a+bx and not as seperate values.
– Perilun
Jul 19 at 7:21
















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',
convertImagesToLinks: true,
noModals: false,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
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%2f2856005%2fcomparing-several-line-functions-for-finding-the-minimum-values%23new-answer', 'question_page');

);

Post as a guest



































active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes










 

draft saved


draft discarded


























 


draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2856005%2fcomparing-several-line-functions-for-finding-the-minimum-values%23new-answer', 'question_page');

);

Post as a guest













































































Comments

Popular posts from this blog

What is the equation of a 3D cone with generalised tilt?

Color the edges and diagonals of a regular polygon

Relationship between determinant of matrix and determinant of adjoint?