The column shown below is axially loaded at A and has constant section and, X and Y are principal axes. There is a lateral support in X$-$Z plane at c and no lateral support in Y$-$Z plane. Simple support at A in X and Y directions and fixed support at B in X and Y directions are applied.

If we wish to minimise the amount of material used for this column, what is the ration of IXX to IYY?

L$1=0\mathrm{.}8*$L$2$

E $=208$ GPa

L$2=3$ m