The function f(x,y) = 4xy has an absolute maximum value and absolute minimum value subject to the constraint x + y - xy =9. Use Lagrange multipliers to find these values. Find the gradient of f(x,y) = 4xy. Vf (x,y) = () Find the gradient of g(x,y) =x2 + y2- xy - 9. Vg(x,y) = Write the Lagrange multiplier conditions. Choose the correct answer below. O A. 4x = 1(2x - y), 4y = 1(2y - x), x2 + 12 - xy -9=0 O B. 4y=1(2x - y), 4x =2(2y -x), x2 + 12 - xy-9=0 O c. 4x=1(2x - y), 4y= 1(2y -x), 4xy =0 O D. 4xy = 1(2x - y), 4xy = 2(2y-x), x2 + y2 -xy - 9=0 The absolute maximum value is 36 The absolute minimum value is 12