<p>It is just mathematical assumptions in calculus that makes the mathematical analysis has real economic meaning.  Not of great importance unless you want to look deeply into the derivation of results.</p>

<p>You may read this paper: <a href="https://web.stanford.edu/~jdlevin/Econ%20202/Producer%20Theory.pdf" rel="nofollow noreferrer">https://web.stanford.edu/~jdlevin/Econ%20202/Producer%20Theory.pdf</a></p>

<blockquote>
  <p>"Throughout our analysis, we will make the innocent technical assumptions that
  Y is non-empty (so as to have something to study!) and closed (to make it more
  likely that optimal production plans exist)."</p>
</blockquote>

<p>Hope this helps.</p>

CC BY-SA 4.0
2018-05-28T16:43:58.320Z
2018-05-28T16:43:58.320Z
J Tg
<p>What does it mean that a production set is closed and non-empty? And why is it important?</p>

CC BY-SA 4.0
2019-03-11T09:26:05.873Z
you may want to mark my answer as correct, thank you!
J Tg
<microeconomics>
Production set is closed and non-empty?
Simon
# Production set is closed and non-empty?

(Asked by: username_0 on 2018-05-28)

What does it mean that a production set is closed and non-empty? And why is it important?

**Tags:** microeconomics
> **Comments:**
> **username_1**: you may want to mark my answer as correct, thank you!  

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## 1 answers

### Answer by username_1 on 2018-05-28. Score: 2

It is just mathematical assumptions in calculus that makes the mathematical analysis has real economic meaning. Not of great importance unless you want to look deeply into the derivation of results.

You may read this paper: <https://web.stanford.edu/~jdlevin/Econ%20202/Producer%20Theory.pdf>

> "Throughout our analysis, we will make the innocent technical assumptions that
> Y is non-empty (so as to have something to study!) and closed (to make it more
> likely that optimal production plans exist)."

Hope this helps.


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