Calculate Marginal Product from APL: 8 Workers Hired

[joe342]

Consider the function AP_L=$\frac{\sqrt[4]{L}}{L}$, 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.AP_L=$\frac{\sqrt[4]{8}}{8}$=$\frac{1,68}{8}$=0,21

How do I get to MP from here?

 

[Ray Vickson]

Consider the function AP_L=$\frac{\sqrt[4]{L}}{L}$, 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.


AP_L=$\frac{\sqrt[4]{8}}{8}$=$\frac{1,68}{8}$=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!

 

[joe342]

Please do not use undefined abbreviations. What is AP? What is MP? I might be able toe guess, but I should not have to!

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.

 

[Ray Vickson]

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.