Final answer:
To calculate the earnings of the listing salesperson, multiply the selling price of the house by the commission rate, then split the commission between the brokers according to the 60/40 split.
Step-by-step explanation:
To calculate the earnings of the listing salesperson, we need to follow a series of steps. First, we need to determine the total commission earned from the sale of the house. To do this, we multiply the selling price of the house ($134,500) by the commission rate (6% or 0.06), which equals $8,070. Next, we need to split this commission between the brokers according to the 60/40 split. The listing broker will receive 60% of the commission, which is $4,842, and the salesperson will receive 50% of this amount, which is $2,421.