Answer:
A) the salesman had at least apparent authority to bind the pool company.
Explanation:
In this case, the salesperson (or the agent) apparently had the authority to sing a contract representing the pool company. The contract even had a specific place for him to sign.
Apparent authority is defined as a situation where a reasonable person (Jane and Joseph) will believe that the agent (salesperson) has authority to act on behalf of the principal (pool company). If such a situation exists, then the principal is bound by the agent's actions.