Final answer:
The sales associate's commission for selling the motel is $54,450.
Step-by-step explanation:
The sales associate's commission can be calculated by first determining the selling price of the motel. The commission structure specifies different rates for different portions of the selling price. So we need to break down the selling price according to these rates. Let's calculate:
- 6.5% commission on the first $600,000 = $600,000 * 6.5% = $39,000
- 7% commission on the next $800,000 = $800,000 * 7% = $56,000
- 8% commission on the remaining portion exceeding $1.4 million = ($1,450,000 - $1,400,000) * 8% = $4,000
The total commission earned by the broker will be the sum of these three amounts: $39,000 + $56,000 + $4,000 = $99,000. Since the broker has agreed to a 45-55 split, the sales associate's commission will be 55% of the total commission, which is $99,000 * 55% = $54,450. Therefore, the correct answer is $54,450.