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) = 3x² + 4y² - 3xy; x+y = 40
Find the Lagrange function F(x,y,^).
F(x,y,2)= 3x² + 4y² − 3xy -λ(x+y-40)
Find the partial derivatives Fx, Fy, and F.
Fx = 6x-3y - λ Fy = 8y-3x-2 Fx = -x-y+40
There is a_____ value of ___located at (x, y) = ___
(Type an integer or a fraction. Type an ordered pair, using integers or fractions.)
'
