$-4-$A wire is drawn through a draw die with entrance angle $=18$Starting diameter is $10$ mm and final diameter $8$ mm $.$ The coefficient of friction at the work$-$die interface is $0\mathrm{.}09,$ The metal has a strength coefficient $1300$ MPa and a strain$-$hardening exponent $0\mathrm{.}30.$ the speed is $0\mathrm{.}5$ m$/$s and friction$/$redundant force is $40\%.$ Determine $($a$)$ area reduction, $($b$)$ the draw stress and $($c$)$ the draw force $($d$)$ the power in this operation $($e$)$ exit die pressure and $($f$)$ true strain.