Under which of the following systems is all work broken down into its smallest repetitive elements and divided amongst the workers?

The correct option is Scientific Management System.

Explanation:

The Scientific Management System, pioneered by Frederick Winslow Taylor in the late 19th and early 20th centuries (often referred to as Taylorism), is a theory of management that analyzes and synthesizes workflows. Its main objective is improving economic efficiency, especially labor productivity.

One of the core principles of Taylor's Scientific Management is the breaking down of every job or work task into its smallest, discrete, and repetitive physical movements or elements (using time and motion studies). Once the work is decomposed into these micro-tasks, they are standardized, and the division of labor is maximized by assigning specific, repetitive elements of the task to different specialized workers. This replaces old rule-of-thumb work methods with scientific study of tasks to optimize efficiency.

Let us briefly look at the other options to understand why they do not fit:
• Binary System: This refers to a base-2 numeral system used in mathematics and computer science, or a system representing dual choices, not a workforce management system.
• Corporate System: This refers to general corporate governance, organizational structure, or business frameworks, rather than a specific operational methodology that decomposes tasks into repetitive physical elements.
• Flexi System: Typically refers to flexible working arrangements (like flexible hours or locations), which focus on worker adaptability rather than the rigid scientific decomposition of manual tasks.