To be competitive, it is important for companies to create a breeding ground for innovation without jeopardizing productivity. The challenge posed by industrial companies and the innovation research community is how to promote innovation while achieving efficient execution. The ability to balance execution and innovation is referred to as organizational ambidexterity (OA), which includes several dimensions, concepts and approaches where a central task can be identified. The purpose of this paper is to investigate what consequences result from different dimensions of a task in relation to the types of its actions, and their effects on OA. The focus of the task is firstly investigated, followed by the development of nine scenarios via combining the designers’ and the performers’ perspectives of the task. A brief analysis of the scenarios indicates that there is no single optimal scenario; rather, the scenarios represent different states that are appropriate for certain conditions, and dynamic adaptation should be encouraged in relation to the changing conditions. This type of dynamics is particularly expected to prevail in small and medium-sized enterprises (SME) because the roles that are responsible for tasks in these organizations are less specialized. Therefore, SMEs must define tasks that include both explorative and exploitative parts, either simultaneously or sequentially, to stimulate employees to work ambidextrously and thereby develop the concept of task-based ambidexterity.