The Parking Garage in Hana's Office Building Offers a Valet

The parking garage in Hana's office building offers a valet parking service at no extra charge for customers in a hurry. The customer leaves the car with the keys in it just outside the attendant's booth. The attendant then parks the car somewhere in the garage and retains the keys until the customer returns. If a car is damaged after it is parked by the valet attendant,

A) there is no liability because the valet service is a mere adjunct of the garage's principal business of renting parking spaces to patrons, and most park their own cars.
B) there is no liability because the free valet service is a gratuitous bailment and the garage operator would only be liable for gross negligence.
C) the garage operator is liable because a true bailment exists.
D) the garage operator's liability would be limited to the cost of the parking if a large red sign explaining the limitation is posted at the payment booth.
E) the car owner is liable.