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Compute optimized instances well-suited for: Batch processing workloads, media transcoding, high-performance web servers, high-performance computing (HPC), scientific modeling, dedicated gaming servers and ad serving engines, machine learning inference and other compute-intensive applications.

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Final answer:

Optimized computing instances for compute-intensive applications should be highly adaptable, offer high-performance resources, and be able to handle large scale processes efficiently.

Step-by-step explanation:

To compute optimized instances well-suited for a range of applications such as batch processing workloads, media transcoding, high-performance web servers, high-performance computing (HPC), scientific modeling, dedicated gaming servers, ad serving engines, and machine learning inference, one must consider instances that are highly adaptable, easy to interpret and communicate, and capable of handling large scale processes. When dealing with such diverse and compute-intensive applications, it is critical to choose instances that provide high-performance CPUs, ample memory, and storage options scaled for throughput and efficiency.

From an information theoretic perspective, these instances must efficiently manage the large amounts of data these tasks require, often in a parallel computing environment. Optimized computing instances should also offer flexibility to adjust resources as workloads demand, thereby offering a cost-effective solution that can adapt to varying computational needs.

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