Please explain the two constrained optimization problems using a lagrangian multiplier.
Problem one as follows:
Maxamize f(x,y)= x ^1/3 y^2/3 subject to x+2y=100
The next one is a three variable problem max f(x,y,z)=x ^ 1/4 y ^ 2/4 z ^ 1/4 subject to 2x+2y+2z = 100
I understand how to set the problem up with partial derivatives, but I am having trouble simplifying the derivatives with positive exponents and working out any further. Any assistance is much appreciated.© BrainMass Inc. brainmass.com October 9, 2019, 6:43 pm ad1c9bdddf
This solution is comprised of a detailed explanation to help with two constrained optimization problems using a lagrangian multiplier.