what does $min()$ and $max()$ mean in a function? The 2019 Stack Overflow Developer Survey Results Are InWhat does max[] mean?Max Min of function less than Min max of functionHow many dollars does it take to be rich?What does this notation mean as a production function: f = min [t, 1.05k]Applying Slutsky's EquationRestricting the range of a fucntionDetermine the coordinates of any max/min points on functions between 0 ≤ x ≤ 2πWhat do these functions mean?Question about min/max on a closed intervalIntermediate Value Theorem Proofs
What is the motivation for a law requiring 2 parties to consent for recording a conversation
How to support a colleague who finds meetings extremely tiring?
Is an up-to-date browser secure on an out-of-date OS?
What is this sharp, curved notch on my knife for?
How to translate "being like"?
If I score a critical hit on an 18 or higher, what are my chances of getting a critical hit if I roll 3d20?
Getting crown tickets for Statue of Liberty
writing variables above the numbers in tikz picture
Why “相同意思的词” is called “同义词” instead of "同意词"？
The phrase "to the numbers born"?
Why couldn't they take pictures of a closer black hole?
If I can cast sorceries at instant speed, can I use sorcery-speed activated abilities at instant speed?
Geography at the pixel level
Kerning for subscripts of sigma?
Why doesn't UInt have a toDouble()?
How much of the clove should I use when using big garlic heads?
Is it safe to harvest rainwater that fell on solar panels?
Button changing its text & action. Good or terrible?
How do you keep chess fun when your opponent constantly beats you?
Are spiders unable to hurt humans, especially very small spiders?
Dropping list elements from nested list after evaluation
How come people say “Would of”?
What do these terms in Caesar's Gallic wars mean?
If a sorcerer casts the Banishment spell on a PC while in Avernus, does the PC return to their home plane?
what does $min()$ and $max()$ mean in a function?
The 2019 Stack Overflow Developer Survey Results Are InWhat does max[] mean?Max Min of function less than Min max of functionHow many dollars does it take to be rich?What does this notation mean as a production function: f = min [t, 1.05k]Applying Slutsky's EquationRestricting the range of a fucntionDetermine the coordinates of any max/min points on functions between 0 ≤ x ≤ 2πWhat do these functions mean?Question about min/max on a closed intervalIntermediate Value Theorem Proofs
$begingroup$
Could someone please explain to me what is the difference between these equations how it would affect the result and the way they are solved?
$$Q2(K,L) = Amin(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = Amax(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = BK,CLtext s.t. A,B,C > 0$$
(Do note that invented the last two equations so I'm not sure if they make any sense mathematically)
I'm encountering these equations quite often in economics and never really understood how to solve them.
Thank you very much for your help!
functions economics
edited Mar 31 at 0:30
idriskameni
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
$endgroup$
add a comment |
$begingroup$
Could someone please explain to me what is the difference between these equations how it would affect the result and the way they are solved?
$$Q2(K,L) = Amin(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = Amax(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = BK,CLtext s.t. A,B,C > 0$$
(Do note that invented the last two equations so I'm not sure if they make any sense mathematically)
I'm encountering these equations quite often in economics and never really understood how to solve them.
Thank you very much for your help!
functions economics
edited Mar 31 at 0:30
idriskameni
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
$endgroup$
add a comment |
$begingroup$
Could someone please explain to me what is the difference between these equations how it would affect the result and the way they are solved?
$$Q2(K,L) = Amin(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = Amax(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = BK,CLtext s.t. A,B,C > 0$$
(Do note that invented the last two equations so I'm not sure if they make any sense mathematically)
I'm encountering these equations quite often in economics and never really understood how to solve them.
Thank you very much for your help!
functions economics
edited Mar 31 at 0:30
idriskameni
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
$endgroup$
Could someone please explain to me what is the difference between these equations how it would affect the result and the way they are solved?
$$Q2(K,L) = Amin(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = Amax(BK,CL)text s.t. A,B,C > 0$$
$$Q2(K,L) = BK,CLtext s.t. A,B,C > 0$$
(Do note that invented the last two equations so I'm not sure if they make any sense mathematically)
I'm encountering these equations quite often in economics and never really understood how to solve them.
Thank you very much for your help!
functions economics
functions economics
edited Mar 31 at 0:30
idriskameni
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
edited Mar 31 at 0:30
idriskameni
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
edited Mar 31 at 0:30
idriskameni
751321
edited Mar 31 at 0:30
idriskameni
751321
edited Mar 31 at 0:30
idriskameni
751321
751321
asked Mar 30 at 22:12
FozoroFozoro
1266
asked Mar 30 at 22:12
FozoroFozoro
1266
asked Mar 30 at 22:12
FozoroFozoro
1266
1266
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
$begingroup$
Usually $min(x,y)$ denotes the smallest of $x$ and $y$, and $max(x,y)$ the greatest.
answered Mar 30 at 22:16
BernardBernard
124k741117
$endgroup$
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
add a comment |
$begingroup$
Here is a possible interpretation of such a function.
$$Q(B,S,N) = min(frac12B,frac16S, frac112N)text s.t. B,S,N, Q in mathbb N_0$$
This function can be seen as production function of a chair. You probably need $2$ boards ($B$) for the back rest and the seat surface. $6$ wooden sticks ($S$): 4 for the chair legs and 2 to fix the back rest. And probably $12$ nails (N) to fix all the parts
Now with Q you can evaluate how many chairs you can produce if some quantities of boards, wooden sticks and nails are available. Let´s say $B=30, S=100, N=190$ Then the output of the production is
$$minleft(frac12cdot 30,frac16cdot 100, frac112cdot 190right)=minleft(15,16frac23, 15frac56right)=15 colorgreytextrmchairs$$
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
$endgroup$
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
add a comment |
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%2f3168836%2fwhat-does-min-and-max-mean-in-a-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Usually $min(x,y)$ denotes the smallest of $x$ and $y$, and $max(x,y)$ the greatest.
answered Mar 30 at 22:16
BernardBernard
124k741117
$endgroup$
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
add a comment |
$begingroup$
Usually $min(x,y)$ denotes the smallest of $x$ and $y$, and $max(x,y)$ the greatest.
answered Mar 30 at 22:16
BernardBernard
124k741117
$endgroup$
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
add a comment |
$begingroup$
Usually $min(x,y)$ denotes the smallest of $x$ and $y$, and $max(x,y)$ the greatest.
answered Mar 30 at 22:16
BernardBernard
124k741117
$endgroup$
Usually $min(x,y)$ denotes the smallest of $x$ and $y$, and $max(x,y)$ the greatest.
answered Mar 30 at 22:16
BernardBernard
124k741117
answered Mar 30 at 22:16
BernardBernard
124k741117
answered Mar 30 at 22:16
BernardBernard
124k741117
answered Mar 30 at 22:16
BernardBernard
124k741117
124k741117
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
add a comment |
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
Thank you very much for your answer Bernard! How would this influence the way we would solve this equation? if you could maybe show some kind of example that would be amazing (with a different equation if it's easier)
$endgroup$
– Fozoro
Mar 30 at 22:18
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
$begingroup$
It does not seem to be an equation, but the definition of a function of the two variables $K$ and $L$, as far as I understand, not knowing the context.
$endgroup$
– Bernard
Mar 30 at 22:20
add a comment |
$begingroup$
Here is a possible interpretation of such a function.
$$Q(B,S,N) = min(frac12B,frac16S, frac112N)text s.t. B,S,N, Q in mathbb N_0$$
This function can be seen as production function of a chair. You probably need $2$ boards ($B$) for the back rest and the seat surface. $6$ wooden sticks ($S$): 4 for the chair legs and 2 to fix the back rest. And probably $12$ nails (N) to fix all the parts
Now with Q you can evaluate how many chairs you can produce if some quantities of boards, wooden sticks and nails are available. Let´s say $B=30, S=100, N=190$ Then the output of the production is
$$minleft(frac12cdot 30,frac16cdot 100, frac112cdot 190right)=minleft(15,16frac23, 15frac56right)=15 colorgreytextrmchairs$$
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
$endgroup$
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
add a comment |
$begingroup$
Here is a possible interpretation of such a function.
$$Q(B,S,N) = min(frac12B,frac16S, frac112N)text s.t. B,S,N, Q in mathbb N_0$$
This function can be seen as production function of a chair. You probably need $2$ boards ($B$) for the back rest and the seat surface. $6$ wooden sticks ($S$): 4 for the chair legs and 2 to fix the back rest. And probably $12$ nails (N) to fix all the parts
Now with Q you can evaluate how many chairs you can produce if some quantities of boards, wooden sticks and nails are available. Let´s say $B=30, S=100, N=190$ Then the output of the production is
$$minleft(frac12cdot 30,frac16cdot 100, frac112cdot 190right)=minleft(15,16frac23, 15frac56right)=15 colorgreytextrmchairs$$
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
$endgroup$
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
add a comment |
$begingroup$
Here is a possible interpretation of such a function.
$$Q(B,S,N) = min(frac12B,frac16S, frac112N)text s.t. B,S,N, Q in mathbb N_0$$
This function can be seen as production function of a chair. You probably need $2$ boards ($B$) for the back rest and the seat surface. $6$ wooden sticks ($S$): 4 for the chair legs and 2 to fix the back rest. And probably $12$ nails (N) to fix all the parts
Now with Q you can evaluate how many chairs you can produce if some quantities of boards, wooden sticks and nails are available. Let´s say $B=30, S=100, N=190$ Then the output of the production is
$$minleft(frac12cdot 30,frac16cdot 100, frac112cdot 190right)=minleft(15,16frac23, 15frac56right)=15 colorgreytextrmchairs$$
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
$endgroup$
Here is a possible interpretation of such a function.
$$Q(B,S,N) = min(frac12B,frac16S, frac112N)text s.t. B,S,N, Q in mathbb N_0$$
This function can be seen as production function of a chair. You probably need $2$ boards ($B$) for the back rest and the seat surface. $6$ wooden sticks ($S$): 4 for the chair legs and 2 to fix the back rest. And probably $12$ nails (N) to fix all the parts
Now with Q you can evaluate how many chairs you can produce if some quantities of boards, wooden sticks and nails are available. Let´s say $B=30, S=100, N=190$ Then the output of the production is
$$minleft(frac12cdot 30,frac16cdot 100, frac112cdot 190right)=minleft(15,16frac23, 15frac56right)=15 colorgreytextrmchairs$$
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
answered Mar 31 at 2:33
callculuscallculus
18.7k31428
18.7k31428
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
add a comment |
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
though how does the $min()$ change the answer?
$endgroup$
– Fozoro
Mar 31 at 12:33
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
@Fozoro The min function selects the lowest number of the three numbers since for every chair certain numbers of boards, wooden sticks and nails are needed. In this example the number of chairs is a positive integer. That means that you have to round off the numbers.
$endgroup$
– callculus
Mar 31 at 13:26
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
so basically it tells us to solve the function with the smallest numbers possible, is that correct?
$endgroup$
– Fozoro
Mar 31 at 13:47
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
$begingroup$
@Fozoro Yes, if there are no other restrictions then $min(3.42, 5.2, 4.1)=3.42$
$endgroup$
– callculus
Mar 31 at 14:00
add a comment |
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%2f3168836%2fwhat-does-min-and-max-mean-in-a-function%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
