A system that incorporates teachings of the present disclosure may include, for example, initializing a boundary estimate for an optimization of a linear programming model describing a network of media servers for servicing requests for media content items from subscriber devices, where the boundary estimate is an estimate of an infeasible solution of the linear programming model, and calculating iteratively, using an exponential potential function, additional boundary estimates for the linear programming model, wherein the calculating resolves to an improved boundary estimate that corresponds to placement of copies of the media content items at the media servers subject to a set of constraints on storage capacity of media servers and on bandwidth for communication links in the network. Other embodiments are disclosed.