A study of the influence of seven quantitative specified factors (height of the superstructure above the ceiling, height of the attic space, pitch of the rafters, height and width of the cross-section of the rafters, length of the raised bow, span) on the optimization parameter – consumption of material (wood) of the research object – a hanging rafter system with with a raised bow for reconstruction of buildings according to a saturated small 7-factor experiment plan (1/16-replica of 27). The response function was obtained – the equation of a homogeneous linear function: y=0.561-0.048x1+0.039x2+0.004x3+0.115x4+0.071x5+0.055x6-0.004x7 and the response surface was constructed for the factor space: x4 (height of the rafter section) and x6 (the length of the raised bow) as quite significant factors