Find ther critical point x * of f(x) =4x14 -4x1 12 +7x1 23 +6:2-312 13 +8234-3:1 -622 +523 +3 subject to g(x) = 3x1 +972 -2x3 =5. Specify below the value of the Lagrange multiplier, 1, and the value of the function f(x*). (Make sure you use g(x) as specified above: if you divide through by constants, the resulting value of A can change!) In both cases, give your answer as an exact fraction or a decimal approximation accurate to at least 3 significant figures