Find 3 positive numbers x, y and z for which: their sum is 24 and which maximizes the product: P = x2y3z. Find the maximum product.
The Attempt at a Solution
Ok, I know how to set up the equations.
x + y + z = 24
Delta(F) <2xy3z, 2x2y2z, x2y3>
fx = 2xy3z = λ
fy = 2x2y2z = λ
fz = x2y3> = λ
Substitution part is where I am stuck. Any helps would be awesome! Thanks!