Problem $2.$ Strain$-$Hardening and Annealing $(20$ points$)$

You have a cold$-$worked $\backslash (\backslash$mathrm$\{$Cu$\}-30\backslash$mathrm$\{$wt$\}\backslash \%\backslash$mathrm$\{$Zn$\}\backslash )$ rod $0\mathrm{.}600-$in$.$ diameter. The rod has a very low ductility, only $5\backslash \%$ elongation. You want to obtain a $0\mathrm{.}2$ in$-$diameter rod with a minimum tensile strength of $60,000$ psi, and a minimum elongation of $\backslash (15\backslash \%\backslash ).$ What cold$-$working$/$annealing procedure would you follow? Fill out Table $2,$ specifying all the steps in the procedure, the rod diameters before and after CW $,$ and the $\backslash (\backslash \%\backslash$mathrm$\{$CW$\}\backslash ).$

Note: The maximum cold work is $\backslash (75\backslash \%\backslash )$

Figure $8-25.$ The effect of percent cold work on the mechanical properties of $\backslash (\backslash$mathrm$\{$Cu$\}-30\backslash \%\backslash$mathrm$\{$Zn$\}\backslash ).$

Table $2.$ Summary of heat treatments