The motor vehicle department is authorized to do which of the following?

The correct answer is that the motor vehicle department is authorized to propose fees. This authority allows the department to establish regulations regarding the costs associated with vehicle registration, licenses, and other services it provides. Proposing fees is crucial for ensuring the department can sustain its operations and meet budgetary needs while also maintaining a level of service to the public.

The other options, while they may sound reasonable, do not fall under the specific authority of the motor vehicle department. For instance, conducting vehicle inspections is typically handled by certified inspection stations rather than the department itself. Regulating car pricing is generally outside the scope of governmental authority since it falls within the realm of market forces and private negotiations. Lastly, the installation of dealer signage may be subject to local zoning laws and regulations, but it is not a primary function of the motor vehicle department to oversee or install such signage.