Find the indicated maxima or minima.
-Maximum of $f(x, y)=4 x y$, subject to $\mathrm{x}+\mathrm{y}=8$
A) 64 when $x=3, y=5$
B) 64 when $x=4, y=4$
C) 72 when $x=0, y=8$
D) 72 when $x=2, y=6$

Question

Quizplus · Accepted Answer

Using the method of Lagrange multipliers, the maximum value of $f(x, y) = 4xy$ subject to $x + y = 8$ occurs when $x = 4$ and $y = 4$, giving $f(4, 4) = 64$.

Find the Indicated Maxima or Minima f(x,y)=4xyf(x, y)=4 x yf(x,y)=4xy , Subject To

Find the Indicated Maxima or Minima $f(x, y)=4 x y$ , Subject To