The body system that provides a framework and support for soft tissues and produces blood cells in red marrow is the skeletal system.

Here's a breakdown:

* Framework and support: Bones provide the structural support for the body, giving it its shape and allowing for movement.

* Production of blood cells: Red bone marrow, found within the cavities of many bones, is responsible for the production of red blood cells (which carry oxygen), white blood cells (which fight infection), and platelets (which help with blood clotting).