Q$\mathrm{.}3\mathrm{.}1$ Using the concept of batch processing. Explain the fundamental principles of batch processing in operating systems. Describe how batch processing differs from other forms of processing, such as interactive or real$-$time processing. Provide a real$-$world scenario where batch processing would be advantageous, and outline the key steps involved in implementing a batch processing system for that scenario. Discuss the potential challenges and benefits of using batch processing in modern computing environments.