Question

Find the maximum value of x y z for which subject to condition is x²/3 + y²/4 + z²/9 = 1.

Answer 1

Given x²/3 + y²/4 + z²/9 = 1

Applying, A.M ≥ G.M

⇒  (xyz) ≤ 2

Hence, the max value of xyz is 2.