Final Answer:
For every two sorters, one decanter is required to optimize the sorting and decanting process, ensuring efficient workflow and resource utilization. This ratio facilitates a smooth operation without causing bottlenecks or delays. Thus option b is the correct option.
Step-by-step explanation:
In a sorting and decanting process, the ratio of decanters to sorters plays a crucial role in optimizing efficiency and throughput. The ratio of **2:1** indicates that for every two sorters, one decanter is required. This signifies an organized workflow where each decanter can efficiently handle the output of two sorters.
Decanters are essential for separating liquids from solids or for dividing mixtures based on different properties. The 2:1 ratio ensures that the decanters operate at a pace that aligns with the sorting process, preventing bottlenecks and maintaining a smooth production flow. This balanced ratio optimizes resource utilization and ensures that the sorting operation is not hindered by a lack of decanting capacity.
Mathematically, if the number of sorters is represented by 'S' and the number of decanters is represented by 'D', the ratio can be expressed as D:S = 2:1. This ratio simplifies the coordination between the sorting and decanting stages, providing a practical guideline for resource allocation in a systematic and efficient manner. In conclusion, the 2:1 ratio strikes a harmonious balance between the sorting and decanting processes, contributing to an effective and streamlined overall operation.
Therefore option b is the correct option.