A linearly strain-hardening material with a true-stress-true-strain curve = 5000 + 25,000e psi is being drawn

Question:

A linearly strain-hardening material with a true-stress-true-strain curve π = 5000 + 25,000e psi is being drawn into a wire. If the original diameter of the wire is 0.25 in., what is the minimum possible diameter at the exit of the die? Assume that there is no redundant work and that the frictional work is 15% of the ideal work of deformation.