$4.(10$ pts$)$ A cylindrical rod of $1040$ steel originally $11\mathrm{.}4$ mm in diameter is to be cold worked by drawing; the circular cross section will be maintained during deformation. A cold$-$worked tensile strength in excess of $825$ MPa and a ductility of at least $\backslash (12\backslash \%\backslash$mathrm$\{$EL$\}\backslash )$ are desired. Furthermore, the final diameter must be $8\mathrm{.}9$ mm $.$ Explain how this may be accomplished. $($Note: include necessary calculations to support your explanation$)$

$($b$)$