The correct answer is option 3: lymphocytes. Lymphocytes are a type of white blood cell that plays a crucial role in the immune response of the body. One of the main functions of lymphocytes is the production of antibodies. Antibodies, also known as immunoglobulins, are proteins that are produced by lymphocytes in response to the presence of foreign substances called antigens.

Lymphocytes are divided into two main types: B cells and T cells. B cells are responsible for producing antibodies. When an antigen enters the body, B cells recognize it and undergo a process called activation. Activated B cells then mature into plasma cells, which are specialized cells that secrete large amounts of antibodies.

The antibodies produced by B cells bind to antigens and help in their neutralization or destruction. They can also activate other cells of the immune system to eliminate the antigens. This process is essential for the body`s defense against pathogens, such as bacteria and viruses.

In summary, lymphocytes, particularly B cells, are the cells responsible for the production of antibodies.