Final answer:
Erik's commission for selling the car at $36,800 is $1,472.00. The commission lost due to the lower sale price from the original $39,499 listing is $107.96.
Step-by-step explanation:
To find Erik's commission for selling a car for $36,800 at a 4% commission rate, you would use the following calculation:
Erik's Commission = Selling Price × Commission Rate
Erik's Commission = $36,800 × 0.04 = $1,472.00
Therefore, Erik's commission is $1,472.00.
Now, to determine the commission lost by selling the car for less than the original listed price, we calculate the commission at the original price and then subtract the commission earned at the selling price:
Commission at Listed Price = Original Price × Commission Rate
Commission at Listed Price = $39,499 × 0.04 = $1,579.96
Commission Lost = Commission at Listed Price - Commission at Selling Price
Commission Lost = $1,579.96 - $1,472.00 = $107.96
The commission Erik lost by not selling the car at the listed price is $107.96.