While a broker-dealer possesses non-public information about XYZ, which action is allowed?

Accepting unsolicited orders from customers to purchase XYZ is permissible because the broker-dealer does not disclose the non-public information to the clients and does not influence their decision-making. In this situation, the client is making a decision independently, without the broker-dealer's input resulting from that confidential information. This practice is in line with maintaining the integrity of the market and ensuring that clients' choices are based on their own analysis rather than any insider information the broker-dealer may possess.

The other options present scenarios where the use or influence of non-public information could be problematic. For instance, executing all customer orders or executing solicited orders could lead to a breach of duty, as these actions might potentially involve trading based on undisclosed information. Similarly, publishing an information memo could inadvertently relay non-public information to clients and compromise the confidentiality expected in such circumstances. This maintains a fair and equitable market environment, guarding against the misuse of non-public information.