A method for solving finite capacity problems such as how to satisfy a customer's request for a manufactured product, by describing the environment in which the problem exists in the form of a demand (e.g., customer order), including the available resources for satisfying the demand, defining the demand, selecting a plan for achieving the various objectives of the demand in an optimal order, and evaluating whether the plan will work. Also disclosed is a computer program product implementing the invention, and a system for coordinating multiple sources of input into a system implementing the disclosed invention.