An organization's Intellectual Bandwidth (IB) is its capacity to transform External Domain Knowledge (EDK) into Intellectual Capital (IC), and to convert IC into Applied Knowledge (AK), from which a task team can create value. An organization's IB is an upper boundary on its ability to solve complex problems. To create value, members of an organization must search for knowledge, share it, and, bring it to bear on the issue at hand. The Intellectual Bandwidth of an organization must therefore be, to a certain extent, a function of the ability of its members to access data, information, and knowledge that is relevant in the context of the task at hand in order to understand the causes and consequences of their problem. They must reason about possible solutions and their potential consequences. Throughout the task they must communicate with other stakeholders and subject matter experts as they make a joint effort toward their goal. This paper develops a model of IB based on these and other concepts. It posits that IB is the product of a Hierarchy of Understanding and a Hierarchy of Collaboration. The paper suggests that the model may be useful for analyzing and deploying IT in ways that reduce the cognitive load of bringing EDK and IC to bear on the task at hand. Future research must focus on refining and validating constructs and developing measures of IB, and using those measures to find ways to increase the value derived from EDK and IC.