Final answer:
Seller B would owe the broker a commission if they had an exclusive authorization and right to sell listing agreement with the broker, regardless of whether they refuse an offer or raise the asking price.
Step-by-step explanation:
Seller B would owe the broker a commission if they had an exclusive authorization and right to sell listing agreement with the broker. Although Seller B decided to refuse the full cash offer and raise the asking price, this does not release them from their contractual obligation to pay the broker a commission. The broker successfully brought a potential buyer to see the house and made a full cash offer with no contingencies, fulfilling their part of the agreement.