Cutting and skiving patterns to be used in the production of product rolls from a master roll are selected so as to optimize trim efficiency. The product rolls have widths ordered by customers. In selecting these cutting and skiving patterns, cutting patterns that can be used to trim master rolls of the same or different dimensions in order to fill customer orders for the product rolls are generated, skiving patterns for skiving auxiliary rolls that result from trimming the master roll in order to produce the product rolls according to the customer orders are generated, and those of the generated skiving and cutting patterns that optimize trim efficiency for the production of the product rolls are selected.