Technical Abstract: A method to quickly compute the range of values from the most optimistic to the most pessimistic viewpoint (best to worst) for a hierarchically arranged multiattribute problem under the assumption of an additive value function is presented. The method is an analysis tool to be applied after commensurate attribute values have been determined for each alternative but twithout the need to specify or determine weights on the attributes explicitly. The decision maker can change the priority order of the criteria or attributes at any tier in the hierarchy and quickly recompute the range from best to worst of the overall value measurement. A simple algorithmic method is presented that requires no Linear Program solver. This solution method makes it easy to determine the result of modifying priorities in portions of the hierarchical architecture without recalculating the contributions of unaffected branches. The simple calculations are illustrated and generalization to any hierarchical structure is readily apparent.