# Calculating Marginal Product and MRTS

Given the following function:

T=aK^-b L^c F^d = 0.02K ^-0.25 L^0.2 F^0.55

if K=100

L = 500

F =20,000

i) Calculate the marginal products associated with K L F.

ii) What is the MRTS between K and L

iii) What is the MRTS between K and F

https://brainmass.com/economics/production/calculating-marginal-product-mrts-375960

#### Solution Preview

i)Marginal product of K=MPK=dT/dK=0.02*(-0.25)K^(-0.25-1)L^0.2F^0.55

MPK=-0.005K^(-1.25)L^0.2F^0.55

Put value of K,L and F

MPK=-0.005*100^(-1.25)*(500^0.2)*(20000^0.55)= ...

#### Solution Summary

The solution describes the steps to calculate Marginal Product and MRTS.

$2.19