The function f(x,y) = xy has an absolute maximum value and absolute minimum value subject to the constraint 2x2 + 2y2 - 3xy =49. Use Lagrange multipliers to find these values. . .. Find the gradient of f(x,y) = xy. Vf ( x,y) = Find the gradient of g(x,y) = 2x2 + 2y2 - 3xy - 49. Vg(x,y) = Write the Lagrange multiplier conditions. Choose the correct answer below. O A. xy = M(4x - 3y), xy = >(4y - 3x), 2x2 + 2y2 - 3xy - 49=0 O B. y= 1(4x - 3y), x= M4y - 3x), 2x2 + 2y2 - 3xy - 49=0 O C. x= 14x - 3y), y= >(4y - 3x), 2x2 + 2y2 -3xy - 49=0 O D. X= >(4x - 3y), y = M(4y - 3x), xy = 0