$5.$ A column is subjected to a centric load of magnitude N and a bending moment of magnitude M $.$ The allowable compressive and tensile stresses are $-50$ MPa and $10$ MPa $,$ respectively. Calculate the maximum allowable bending moment $\backslash (\backslash$left$(\backslash$mathrm$\{$M$\}\_\{\backslash$mathrm$\{$z$\}\}\backslash$right$)\backslash )$ as a function of compressive force $($N$).$ Plot your results in the graph box provided below.

Cross Section