Enterprise Resource Planning (ERP) systems integrate various business processes into a unified system, offering numerous benefits. Here's an analysis of the provided options:

A. Real-time Processing of Transactions and Elimination of Data Redundancies:

ERP systems centralize data and standardize processes across an organization. This centralization enables real-time processing of transactions, allowing immediate updates and access to data. By maintaining a single database for all business functions, ERPs eliminate data redundancies, ensuring consistency and accuracy across departments. This integration enhances decision-making and operational efficiency. According to Investopedia, ERP systems facilitate the free flow of communication between business areas, providing a single source of information and accurate, real-time data reporting.

Investopedia

B. Fewer Data Processing Errors and More Efficient Data Exchange with Trading Partners:

While ERP systems can reduce data processing errors through automation and standardized processes, efficient data exchange with trading partners often requires additional tools or modules, such as Electronic Data Interchange (EDI) systems. Therefore, this benefit is not solely attributable to ERP systems.

C. Exploitation of Opportunities and Mitigation of Risks Associated with E-Business:

ERP systems provide a robust infrastructure that can support e-business initiatives. However, effectively exploiting opportunities and mitigating risks in e-business also depend on strategic planning, market analysis, and additional technologies beyond the ERP system itself.

D. Integration of Business Processes into Multiple Operating Environments and Databases:

ERP systems aim to integrate business processes into a single operating environment with a unified database. Integrating into multiple operating environments and databases would contradict the primary purpose of an ERP, which is to provide a centralized platform.

In summary, the most significant benefit of an ERP system among the options provided is the real-time processing of transactions and the elimination of data redundancies, making option A the correct answer.