Processor Compatibility and Recommendations

List up to $10$ processors supported by your motherboard, as per the motherboard documentation or website.

In the scenario where your current processor $($e$.$g$.,$ Core i$5-8600$K$)$ fails, recommend a replacement processor. Justify your choice with respect to performance and cost considerations. Provide a source showing the processor's details and price.

Given the Asus Prime Z$370-$P desktop board, suggest a cost$-$effective yet performance$-$efficient processor replacement. Include a source for the processor and its cost.