Suppose a package in the shape of a rectangular box can be mailed by a ceratin postal service if the sum of its length and girth $($the perimeter of a cross$-$section perpendicular to the length$)$ is at most $114$ inches. Use Lagrange multipliers to find the length, width, and height of the package $($in inches$)$ with largest volume that can be mailed. $($Enter the dimensions as a comma separated list.$)\backslash [4,\backslash$mathfrak$\{$J$\}\backslash$cup$,,\backslash$cup $\backslash$cup $\backslash ]$