A method and apparatus for generating a comprehensive response model for a sheet forming machine are provided. A finite number of critical points and a response type are used to create a continuous response profile for each actuator zone. The continuous response profile for each actuator zone is discretized into a discrete response profile based on the resolution appropriate for an application. A multi-zone response model for each pair of actuator set and sheet property profile is created from the discretized response profile of the actuator zones in the actuator set. The comprehensive response model for a multivariable sheet-forming machine is created from a collection of multi-zone response models for multiple pairs of actuator sets and sheet property profiles.