How do I safely install a weight bearing fitness equipment system in an apartment?
I felt like using SketchUp, but you can easier secure it to the ceiling or wall.

I roughly used the dimensions on the Impex Marcy SM2805 Suspension Rack

The drawing is based off of a few 2x6's and only 1 cable support is shown but there should be 4. 
This would run roughly $100:


10x 2x6x8 (some cut to length either at home or in store) ~$5.70 each
31ft of cable or chain (chain ~1.60/ft)
Screws


DO NOT GET PRESSURE TREATED LUMBER 

You should never used pressure treated lumber for indoor uses.