Cells that provide the best conditions to carry out both protein synthesis and protein degradation efficiently would likely be those with organelles or compartments that can maintain different pH levels to accommodate these processes.
One such cell type is a eukaryotic cell, particularly a well-developed animal cell or plant cell, which has specialized organelles for protein synthesis (such as ribosomes on the endoplasmic reticulum and free ribosomes in the cytoplasm) and protein degradation (such as lysosomes and proteasomes).
The endoplasmic reticulum and cytoplasm typically maintain a near-neutral pH, which is conducive to protein synthesis. On the other hand, lysosomes, which are acidic organelles, provide an optimal environment for protein degradation.
