Use the method of Lagrange multipliers to find the maximum and minimum of ​f(x,y)=7xy subject to x2+y2=72. Select the co

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Use the method of Lagrange multipliers to find the maximum andminimum of ​f(x,y)=7xy subject to x2+y2=72.
Select the correct choice below​ and, if​ necessary, fill in theanswer boxes to complete your choice.
A. The maximum value is enter your response here_______. Itoccurs at the​ point(s) given by the ordered​ pair(s) enter yourresponse here______. ​(Use a comma to separate answers as​needed.)
B. The function does not have a maximum.