Developing and providing mathematical modeling, namely, receiving and validating input from portions of a business information system, transforming the input into quantitative values, creating one or more mathematical models of the system based on the quantative input and on a library of stored models of hardware and software components, calculating performance metrics for the created mathematical models, comparing the calculated performance metrics to those of the stored models, and then selecting a preferred information system design based on the comparison, for business information systems of a business, such as a bank, stock exchange, billing, CRM or similar business; Computer diagnostic services for such businesses and systems; Technical support services, namely, trouble shooting of computer hardware and software problems for business information systems of a business, such as a bank, stock exchange, billing, CRM or similar business; Architectural design for business information systems of a business, such as a bank, stock exchange, billing, CRM or similar business; Design and development services for others in the field of computer systems, computer software, and computer networks for building information technology (IT) and non-IT dynamic business systems of a business, such as a bank, stock exchange, billing, CRM or similar business