Product development efforts tend to be projects that are subject to considerable uncertainty. With that in mind, the focus of this paper is to define and develop a solution approach for planning, scheduling and managing project efforts where there is significant uncertainty in the duration, resource requirements and outcomes of individual tasks. Our approach yields a nonlinear mathematical model for planning allocation of resources to tasks under uncertainty. It maximizes the level of confidence in the outcome of the set of tasks (project) taken as a whole. This central problem has importance and direct application to the management of product development efforts.