The Algebra for Theory of Natural Output

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Discussion Overview

The discussion revolves around the derivation of the natural level of output in economics, specifically focusing on a mathematical expression involving price, markup, total labor, and variable factors. The scope includes conceptual clarification and mathematical reasoning related to the derivation process.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Josh expresses confusion about the derivation steps leading to the natural level of output, questioning how the transition from the price equation to the function form is made.
  • Some participants suggest that the discussion may be homework-related, while others clarify that it is not.
  • One participant notes that the leap in the derivation is made in the lecture notes, indicating a potential gap in understanding.
  • Another participant interprets the second line as a simplification where price is canceled, and states that the last line indicates that output is a function of markup, total labor, and variable factors.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the clarity of the derivation process. There are differing levels of understanding regarding the economic concepts involved, and some participants express uncertainty about the knowledge base of others in the discussion.

Contextual Notes

There are indications of missing assumptions or unclear steps in the derivation process, particularly regarding how the mathematical transition is justified. The discussion reflects a reliance on lecture notes that may not be fully explained in the thread.

Who May Find This Useful

This discussion may be useful for students or individuals interested in the mathematical aspects of economic theory, particularly those grappling with the derivation of concepts related to natural output levels.

JoshMaths
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When deriving the natural level of output i am confused as to how the leap is made in the last two lines.

P = P(1+μ)F(1-Y/L,z) =>

1 = (1+μ)F(1-Y/L,z) =>

Yn = h(μ,L,z)

I understand how the mark-up, Total Labour and variable factors are the factors of the natural level but how does this come from the above line?

Thanks,

Josh
 
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This is homework, I assume.
 
Nope, incorrect assumption :)

The notes i am provided from the lecture have made this leap themselves.

Would you like a picture of the notes?
 
JoshMaths said:
Nope, incorrect assumption :)

The notes i am provided from the lecture have made this leap themselves.

Would you like a picture of the notes?
No, just needed to clarify.
 
Nearly all my Economics questions have gone unanswered, if i am missing something huge in terms of my poor question asking please let me know.
 
I don't believe that we have many people here that knowledgeable in economics.
 
I know nothing of economics, (If I did I would be retired already!)

Just looking at it as a math problem, the second line is just the first with P canceled.

The last line is simply a statement that Y is a function of mu , L and z.
 
Thanks for your help, i'll try and post more relevant questions next time.
 

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