Jason Chung makes 3 copies every 8 minutes, and Xiaoshi makes 4 copies every 1 1 minute, so they make 3* 1 1+4*8=65 copies every 88 minutes.

After four 88 minutes, they made 65*4=260 parts, leaving 18 parts.

Jason Chung will make 6 parts in 16 minutes, Xiao Shi will make 8 parts in 22 minutes, Jason Chung can make 3 parts in the remaining 6 minutes, and then let Xiao Shi make 1 part (without rest) for 2 minutes.

It takes at least 88*4+22+2=376 minutes.