Abstract: A market selection optimization method comprising the steps of assigning product offers to consumers in the presence of multiple constraints, such that each consumer is assigned at least one product offer; determining a difference in expected profitabilty associated with the assigned product offer and a different product offer for each consumer; sorting the consumers according to the respective difference in expected profitabilities associated with the product offers; and reassigning the product offers to the sorted consumers in accordance with the respective difference in expected profitabilities. The result of this process is a selection of marketing offers that optimizes expected revenues.