Calculate Marginal Product from APL: 8 Workers Hired

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Homework Help Overview

The discussion revolves around calculating the marginal product of labor (MP) using the average product of labor (APL) function, specifically given the scenario of hiring 8 workers. The function in question is APL = √[4]{L}/L, where L represents the number of workers.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express uncertainty about how to derive the marginal product from the average product, noting the need for total product differentiation. There are questions regarding the definitions of average product and marginal product, as well as the relationship between them.

Discussion Status

The discussion is ongoing, with participants seeking clarification on terminology and definitions. Some have attempted to articulate their understanding of average and marginal products, while others are exploring the foundational relationships necessary for solving the problem.

Contextual Notes

There is a noted concern about the use of undefined abbreviations, which may hinder understanding. Participants are also grappling with the implications of having only the average product rather than the total product for their calculations.

joe342
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Consider the function APL=[itex]\frac{\sqrt[4]{L}}{L}[/itex], where L is the number of workers. The company has just hired 8 workers. What is the marginal product of the labor?I know that if I had the total product I could differentiate it and get the marginal product, but it's the average product that is given.APL=[itex]\frac{\sqrt[4]{8}}{8}[/itex]=[itex]\frac{1,68}{8}[/itex]=0,21

How do I get to MP from here?
 
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joe342 said:
Consider the function APL=[itex]\frac{\sqrt[4]{L}}{L}[/itex], where L is the number of workers. The company has just hired 8 workers. What is the marginal product of the labor?


I know that if I had the total product I could differentiate it and get the marginal product, but it's the average product that is given.


APL=[itex]\frac{\sqrt[4]{8}}{8}[/itex]=[itex]\frac{1,68}{8}[/itex]=0,21

How do I get to MP from here?

Please do not use undefined abbreviations. What is AP? What is MP? I might be able toe guess, but I should not have to!
 
Ray Vickson said:
Please do not use undefined abbreviations. What is AP? What is MP? I might be able toe guess, but I should not have to!
joe342 said:
I know that if I had the total product I could differentiate it and get the marginal product, but it's the average product that is given.

Im sorry, I thought I made it clear here. Average product of labor and marginal product of labor.
 
joe342 said:
Im sorry, I thought I made it clear here. Average product of labor and marginal product of labor.

OK, so what is the actual definition of average product of labor in terms of the marginal product function f(L)? Understanding that relationship is step 1 in the solution procedure.
 

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