Hemopoiesis, also known as hematopoiesis, is the process of producing new blood cells. It typically occurs in the red bone marrow, which is a soft tissue found in the hollow spaces of certain bones. The red bone marrow contains stem cells that can differentiate into various types of blood cells, including red blood cells, white blood cells, and platelets. These blood cells are essential for carrying oxygen, fighting infections, and clotting blood. The other options mentioned, such as the epiphyseal plate, articular cartilages, yellow bone marrow, and gelatinous bone marrow, do not play a significant role in hemopoiesis.