Final answer:
The correct term for a complete appliance unit with a burner, controls, and integral wiring is a 'Unitary appliance'. This self-contained device is designed for plug-and-play functionality and ease of maintenance.
Step-by-step explanation:
An appliance which is supplied as a complete unit including burner, controls, and integral wiring is known as a b) Unitary appliance. A unitary appliance is a self-contained single or packaged device where all the components necessary for its operation are manufactured and assembled as a whole. These appliances are designed for easy installation and maintenance and they typically offer plug-and-play functionality. Other options like fixtures, modules, or integrated systems do not fully encompass the characteristics of a pre-assembled appliance unit.