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) =x2 + 4y2- 3xy; x+ y=48 . . . Find the Lagrange function F(x,y,). F(x,y,2) = x4 + 4y2-3xy -2(x+y-48) Find the partial derivatives Fx , Fy, and Fx- Fy = 2x - 3y - 2 Fy = 8y - 3x - 2 F, = -x-y+48 There is a maximum value of 2536 located at (x, y) = (14,30) . (Type an integer or a fraction. Type an ordered pair, using integers or fractions.)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) = 4x2 + 2y2 - 4xy; x+ y=15 . . . There is a value of located at (x, y) = 7. (Simplify your answers.)