Under the present invention, a computer work gradient matrix (hereinafter “matrix”) is developed by applying a set of background loading levels and a set of elemental work increments to a computer system, and then measuring the resource consumption of the computer system based thereon. Task work path(s) are also constructed by applying specific tasks to the computer system at a certain background loading level, and measuring the resource consumption of the computer system over time. Once the matrix and task work path(s) have been provided, they can be used to approximate the resource consumption of the computer system in response to a task applied at any background loading level.