Final answer:
The bacterial infection that causes pus-producing boils is most commonly caused by Staphylococcus bacteria, specifically Staphylococcus aureus.
Step-by-step explanation:
The bacterial infection that causes pus-producing boils is most commonly caused by Staphylococcus bacteria. Specifically, the infection can be caused by strains of Staphylococcus aureus. These infections, known as furuncles or boils, are characterized by the presence of pus and swelling. In more severe cases, when multiple boils develop into a deeper lesion, it is called a carbuncle.