How would I work this problem?

Use Lagrange multipliers to find the maximum and minimum values of f (if they exist) subject to the given constraint. f(x,y) = 5x + 5y subject to 4x2 - 4xy + 4y2 = 9 If there is a maximum value, what is it? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum value is .(Type an exact answer.) O B. There is no maximum value