Find the extremum of $f(x,y)$ subject to the given constraint, and state whether it is a maximum or a minimum.\
f(x,y) = 4x^2 + 4y^2; 4x + 3y = 300\
Find the Lagrange function $F(x,y,\lambda)$.\
F(x,y,\lambda) = \\
Find the partial derivatives $F_x$, $F_y$, and $F_\lambda$.\
F_x = \\
F_y = \\
F_\lambda = \\
There is a value of located at $(x, y) = $\
(Type an integer or a fraction. Type an ordered pair, using integers or fractions.)