Question

carter cadillac pays commission to its sale staff. They are paid a percent of the profit the dealership makes on the car, not on the selling price of the car. If the profit is under 500, the commission rate is 18%. If the profit is at least $500 and less than or equal to 2,000, the commission rate is 24% of the profit. If the profit is above 2,000, the rate is 27% of the profit. If p represents the profit, express the commission c(p) algebraically as a split function.