Final answer:
A car salesman should be helpful and ready to answer questions (Option 2), and to reassure a buyer who lacks perfect information, offering a history report, warranty, third-party inspections, or return policy can be effective.
Step-by-step explanation:
In response to the question of how a car salesman should handle a customer gathering information before making a final decision on purchasing a new car, the best response would be Option 2: Offer to answer any questions she may have and provide additional information if needed. This approach aligns with good customer service practices and builds trust with the customer. High-pressure sales tactics, ignoring the customer, or suggesting a car without considering her preferences do not contribute to a positive buying experience and can harm the dealership's reputation. To reassure a possible buyer who is faced with imperfect information, a seller could provide a thorough history report of the car, offer a warranty, allow a third-party inspection, or offer a return policy. These actions can demonstrate the seller's confidence in the quality of the vehicle and their commitment to transparency, thereby creating a sense of security for the buyer and potentially leading to a successful sale.