Find solution
How to prove that this function is primitive recursive?

How can I prove mathematically that in the function x=h^(3/4)t^(1/4) h and t are complements?

  • this is just a normal cobb douglas production function.

  • Answer:

    The two variables are complements factors (or supporting factors) in a particular production process if the increase in the employment of one factor raises the marginal product of the other factor. ∂MP h (h,t)/ ∂t = ∂MP t (h,t) / ∂h > 0 . you have to find the MP of h and then check if MP of h is greater then 0 if the other factor is increased (so you do the derivate respect to t).

cripiton at Yahoo! Answers Visit the source

Was this solution helpful to you?

Other answers

Yes this is a cobb douglas production function with constant returns to scale ( : because 3/4+1/4 = 1) in general terms : zX = (zh)^(3/4)* (zt)^(1/4) ...i.e multiply all variables by z => zX = z^(3/4+1/4)h^(3/4)t^(1/4) =>zX = z(h^(3/4)t^(1/4)).....z cancels out so x=h^(3/4)t^(1/4)..hence crt production function

zoomzoom

Related Q & A:

Just Added Q & A:

Find solution

For every problem there is a solution! Proved by Solucija.

  • Got an issue and looking for advice?

  • Ask Solucija to search every corner of the Web for help.

  • Get workable solutions and helpful tips in a moment.

Just ask Solucija about an issue you face and immediately get a list of ready solutions, answers and tips from other Internet users. We always provide the most suitable and complete answer to your question at the top, along with a few good alternatives below.