For the sake of maximizing hardware utilization in a multicore system with a many to many threading model, the relationship of the number of user threads U to the number of kernel threads K to the number of CPU cores P should be:

"U > K > P" would be the appropriate answer.

Explanation:

When performing or executing the software, user threads (U) could easily be accomplished and therefore are typically wide in the amount to provide excellent or excellent performance. Multiple kernel threads could indeed be appointed to every other core as well as try to emulate the algorithm for scheduling.