Glad to see your message here,I am shanny from China.
So have you got the right machine you need?From your description to cut plywood thickness 1/8'',I recomend you a machine with 80 watt laser tube.For the machine size,that depends on your materials dimension.
If interested,you are welcome to visit our website in the following:
China Cnc Router, Laser Engraver, Laser Engraving machine, Cnc Woodworking Machine, CNC machine, pcb machine Manufacturer - Jinan JCUT CNC Equipment Co., Ltd.
Any other questions,please feel free to contact me.My MSN is firstname.lastname@example.org
Wish you good day~