Consider the following function to be maximized: f ( * 1 X 2 ) = ( x 7 ) 2 + ( x2 ) 2 Assume that the values of x, and x2 are constrained to satisfy the following: 200 = 2.X1+ 4. X2 Use the Lagrange method to propose a value x,* that solves this problem. X1= ... Use the substitution method to confirm that the proposed solution arises as well under this method. Then explain (in words, in the box below) why the proposed solution is indeed a maximum (if it is) or why not (if it's not)