You're designing a drawing process which reduces brass wire from $20$ mm diameter to $1$ mm

diameter. Assume and average flow stress of the material during drawing to be $400$ MPa $.$ The material

has an ultimate tensile strength of $500$ MPa $.(6$ pts $)$

$($a$)$ Can you accomplish this reduction one single drawing pass, or will multiple passes be required?

Explain your answer qualitatively and provide supporting calculations. $(2$ pts$)$

$($b$)$ Calculate the drawing stress for a single $40\%$ reduction $(2$ pts$)$