Final answer:
The broker should tell Goodheart that she can withdraw the offer and demand the return of her earnest money.
Step-by-step explanation:
According to the information provided, Lydia Goodheart made a written offer to purchase Bud Perkins' home with a five-day acceptance period. However, before Perkins accepted the offer, Goodheart informed the broker that she wants to withdraw the offer. In this situation, the broker should tell Goodheart that she can withdraw the offer and demand the return of her earnest money.