Scoping studies for the Next European Torus (NET) using the SUPERCOIL system code are described. Capital-cost-optimized devices satisfying constraints imposed on stresses/strains, fields, access, etc., are compared. The main objective is to determine the impact of design characteristics, performance objectives, and underlying plasma physics assumptions on the parameters and cost of NET. The background against which the main parameters of NET have been chosen is developed and illustrated by the NET study points used during the conceptual design phase. Supporting studies extrapolating NET design and physics assumptions to DEMO and power reactors are performed to allow the reactor relevance of the physics performance and testing program of NET to be justified.