Points$]$ A cold direct extrusion operation produces the cross section shown in the figure below. The product is made from Brass billets $4$ in in diameter and $12$ in long. The strength coefficient of the metal $=28000$ lb$/$in$^2,$ and its strain hardening exponent $=0\mathrm{.}2.$ In the Johnson strain equation, a $=0\mathrm{.}7$ and b $=1\mathrm{.}3.$ If the power of the extruder is the first$-$right two digits of your student number in units of hp$,$ and the die angle is $90\backslash$deg $,$ then determine $($a$)$ the force required to drive the ram when the remaining length of the billet in the container is $12$ in $($b$)$ the length of the extruded section at the end of the stroke; knowing that the remaining length at the end of the stroke is $0\mathrm{.}5$ in$.($c$)$ if it takes $0\mathrm{.}75$ min to load the billet and remove the resulting butt at end of stroke, then determine the production rate of the extruder in units of ft$/$min assuming that the ram moves at constant speed. Note: Only for Alaa Shalash $$ take the power of the extruder $25$ hp$,$ and for Wasan Daraghmah $)$ the power $=35$ hp$.1$ in T $1$ in $0\mathrm{.}2$ in