Please write down the answer by hand on a paper, that would help me understand it more easily

14.8 Lagrange Multipliers Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. 12. f (x, y, z) = 22+3+22, x2+ +2 + y=12 56. Find the maximum and minimum volumes of a rectangular box whose surface area is 1500 cm and whose total edge length is 200 cm